%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV876-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 16:28:58 EDT 2022
% Result : Timeout 300.03s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV876-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.35 % Computer : n024.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % DateTime : Wed Jun 15 09:15:48 EDT 2022
% 0.12/0.35 % CPUTime :
% 1.04/1.39 *** allocated 10000 integers for termspace/termends
% 1.04/1.39 *** allocated 10000 integers for clauses
% 1.04/1.39 *** allocated 10000 integers for justifications
% 1.04/1.39 *** allocated 15000 integers for termspace/termends
% 1.04/1.39 *** allocated 22500 integers for termspace/termends
% 1.04/1.39 Bliksem 1.12
% 1.04/1.39
% 1.04/1.39
% 1.04/1.39 Automatic Strategy Selection
% 1.04/1.39
% 1.04/1.39 Clauses:
% 1.04/1.39 [
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.04/1.39 X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.04/1.39 X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.04/1.39 X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.04/1.39 X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), X )
% 1.04/1.39 , Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), X )
% 1.04/1.39 , Z ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Z ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.39 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.04/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X
% 1.04/1.39 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.04/1.39 ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X
% 1.04/1.39 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.04/1.39 ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), T ), Z ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X
% 1.04/1.39 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.04/1.39 ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X
% 1.04/1.39 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.04/1.39 ), T ) ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 1.04/1.39 hAPP( X, Y ), W ), U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U ) ), ~(
% 1.04/1.39 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 1.04/1.39 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 1.04/1.39 Y, Z, X, T, U ) ), hAPP( X,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 1.04/1.39 ) ), ~( =( hAPP( X, hAPP( Z,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 1.04/1.39 ), hAPP( X, hAPP( Z,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 1.04/1.39 ) ) ), 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Z, Y, T, T ), T, U ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, Y, T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 1.04/1.39 Y, Z, X, T, U ) ), hAPP( X,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 1.04/1.39 ) ), ~( =( hAPP( X, hAPP( Z,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 1.04/1.39 ), hAPP( X, hAPP( Z,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 1.04/1.39 ) ) ), 'c_Fun_Oinj__on'( X, Y, T, U ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.39 'c_Set_Oimage'( Z, Y, T, T ), T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T )
% 1.04/1.39 ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T ) ),
% 1.04/1.39 =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z, Y,
% 1.04/1.39 X, T, U ) ), hAPP( X,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y, X, T, U ) )
% 1.04/1.39 ), =( hAPP( X, hAPP( Y,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z, Y, X, T, U ) )
% 1.04/1.39 ), hAPP( X, hAPP( Y,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y, X, T, U ) )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'(
% 1.04/1.39 U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z ) ), =( hAPP( X,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 1.04/1.39 , hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X
% 1.04/1.39 , Z, T ) ) ), =( hAPP( X, hAPP( U,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 1.04/1.39 ), hAPP( X, hAPP( U,
% 1.04/1.39 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z, T ) )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ofold'( X, Y, Z, T, U ), W ), ~(
% 1.04/1.39 'c_Finite__Set_Ofold__graph'( X, Y, Z, W, T, U ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofun__left__comm'( X, T, U ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.04/1.39 ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.04/1.39 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.39 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ =( hAPP( 'c_Fun_Othe__inv__into'( 'c_Orderings_Otop__class_Otop'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), hAPP( Y, T ) ), T ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ), X, Z ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_Finite__Set_Ofold'(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y, Z, X, X ), X ),
% 1.04/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Y ) )
% 1.04/1.39 ), ~( hBOOL( 'c_in'( T, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.04/1.39 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.39 , Y ), T ), Z ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.39 , T ), Y ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 1.04/1.39 Y, Z, X ) ), Y ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.04/1.39 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.04/1.39 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.04/1.39 ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.04/1.39 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.04/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.04/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.04/1.39 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.04/1.39 'c_Finite__Set_Ofun__left__comm'( 'c_HOL_Oplus__class_Oplus'( X ), X, X )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ) ), T ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ) ), T ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetprod'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.04/1.39 , 'tc_bool' ) ), Z, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.39 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.39 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ) ],
% 1.04/1.39 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.04/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.39 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Z ) ) ) ],
% 1.04/1.39 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T, U, X, W, V0 ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofold__graph'( Z, T, U, Y, W, V0 ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofun__left__comm'( Z, W, V0 ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.04/1.39 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Finite__Set_Ofun__left__comm'( X, U, W
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X )
% 1.04/1.39 , T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.04/1.39 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 1.04/1.39 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.39 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z, T ) ) ],
% 1.04/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ) ) ],
% 1.04/1.39 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'(
% 1.04/1.39 Z, X ), X ) ) ) ],
% 1.04/1.39 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 1.04/1.39 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 1.04/1.39 , X ) ), T ), 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 1.04/1.39 Z, T, X ) ), 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), X ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 1.04/1.39 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.39 , Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.04/1.39 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 1.04/1.39 'c_Set_Oinsert'( Z, T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.39 Y ), U ), X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X
% 1.04/1.39 , X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.39 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.04/1.39 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y, U ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.04/1.39 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.04/1.39 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.04/1.39 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 1.04/1.39 , U ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.04/1.39 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 1.04/1.39 , U ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.04/1.39 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 1.04/1.39 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 1.04/1.39 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 1.04/1.39 ), =( Y, W ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.39 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.39 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.04/1.39 Y, Z ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_Orderings_Oord__class_Omax'( T, Z,
% 1.04/1.39 X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.04/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.04/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 1.04/1.39 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 1.04/1.39 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X
% 1.04/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.39 'c_HOL_Oone__class_Oone'( X ) ), X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.39 'c_HOL_Oone__class_Oone'( X ) ), X ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 1.04/1.39 Z, Y, X ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.04/1.39 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.04/1.39 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), X ), X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 1.04/1.39 Z, T, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), Y ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), 'c_Suc'( X ) ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.04/1.39 ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.04/1.39 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), T ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Z ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ), T ),
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.04/1.39 ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 1.04/1.39 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.04/1.39 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.39 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.39 , T ), X ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.39 , X ), T ), Y ) ) ) ],
% 1.04/1.39 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.39 Y ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.39 Y ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.39 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.39 Y ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.39 Y ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.39 Y ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.39 Y ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.39 Y ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.39 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.04/1.39 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 1.04/1.39 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( X, Y ), 'c_Finite__Set_Ofold'( X, Z, T, U, W ) ),
% 1.04/1.39 'c_Finite__Set_Ofold'( X, hAPP( hAPP( X, Y ), Z ), T, U, W ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( T, U ) ), ~( 'c_Finite__Set_Ofun__left__comm'( X
% 1.04/1.39 , U, W ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ), U, Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ),
% 1.04/1.39 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.04/1.39 ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ),
% 1.04/1.39 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.04/1.39 ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.39 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 Y, X ), Z ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.04/1.39 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.04/1.39 , Z ), U ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z,
% 1.04/1.39 X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( Z, Y ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X )
% 1.04/1.39 , 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 X ), Y ), Z ), X ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 X ), Y ), Z ), X ), Z ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.04/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), Z
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.04/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), Y
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.04/1.39 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.04/1.39 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), X
% 1.04/1.39 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.04/1.39 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T )
% 1.04/1.39 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X
% 1.04/1.39 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.04/1.39 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z )
% 1.04/1.39 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.04/1.39 ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.04/1.39 , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( T, Y, X ), X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( T, Y, X ), X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Y )
% 1.04/1.39 , X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), T ), Z ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), T ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), T ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), T ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), T ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( T, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X
% 1.04/1.39 ), T ), Y ), X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y
% 1.04/1.39 ) ) ) ) ],
% 1.04/1.39 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.04/1.39 'c_Suc'( X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.04/1.39 , X ) ) ],
% 1.04/1.39 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.04/1.39 'c_Suc'( Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.04/1.39 , Y ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 1.04/1.39 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.39 ) ) ), Y ), Y ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ) ), Y ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), hAPP(
% 1.04/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.39 ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.39 X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.04/1.39 ), X ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Y ), Y ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.04/1.39 ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.04/1.39 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.04/1.39 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ) ), X ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.04/1.39 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), T ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), T ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.39 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.39 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.39 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.39 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.04/1.39 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.04/1.39 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.04/1.39 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.04/1.39 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.04/1.39 [ ~( 'c_Finite__Set_Ofold__graph'( X, Y, Z, T, U, W ) ), hBOOL( 'c_in'(
% 1.04/1.39 V0, Z, U ) ), ~( 'c_Finite__Set_Ofun__left__comm'( X, U, W ) ),
% 1.04/1.39 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( V0, Z, U ), hAPP(
% 1.04/1.39 hAPP( X, V0 ), T ), U, W ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.39 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.04/1.39 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.39 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.39 Y, X ) ) ) ) ],
% 1.04/1.39 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.04/1.39 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.39 ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.04/1.39 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.04/1.39 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.04/1.39 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.04/1.39 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y, Z ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ),
% 1.04/1.39 hAPP( X, T ) ), T ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.04/1.39 , Z, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.04/1.39 , Y, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.04/1.39 , Z, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.39 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.04/1.39 , Y, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.04/1.39 'c_Suc'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.04/1.39 X, T, U ), Z ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.04/1.39 hAPP( X, U ) ) ) ) ],
% 1.04/1.39 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), X ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 1.04/1.39 Z, Y ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 1.04/1.39 Z, Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), T ), Z ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_Orderings_Oord__class_Omax'( T, Z, X ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), 'c_Orderings_Oord__class_Omax'( Z, Y, X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.39 T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.39 T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.39 T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), Y ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), Z ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.04/1.39 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.04/1.39 , X ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.04/1.39 , X ), Y ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Y, X ), Z ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ) )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 X ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 X ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ) )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.39 , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.39 , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.04/1.39 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.39 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'(
% 1.04/1.39 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 Z, T, X ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.04/1.39 ), Z ), Y ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 1.04/1.39 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.04/1.39 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.04/1.39 , Y ), Z ), Z, X ), Y ) ],
% 1.04/1.39 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 1.04/1.39 , X, U, Y, W ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ofold'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), Y ) ],
% 1.04/1.39 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' )
% 1.04/1.39 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.39 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.04/1.39 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.04/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.04/1.39 , Y, 'c_Set_Oinsert'( Z, T, X ), X, X ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ),
% 1.04/1.39 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.04/1.39 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 1.04/1.39 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ), X ) ) ],
% 1.04/1.39 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'(
% 1.04/1.39 Z, X ) ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_fun'(
% 1.04/1.39 Z, X ) ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.39 , 'tc_fun'( Z, X ) ), T ) ), hBOOL( hAPP( 'c_lessequals'( T, 'tc_fun'( Z
% 1.04/1.39 , X ) ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( Z, X ) ), T
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y,
% 1.04/1.39 'tc_fun'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T
% 1.04/1.39 , 'tc_fun'( Z, X ) ), Y ) ) ) ],
% 1.04/1.39 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ) ), =( X, Z ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Z ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , T ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_fun'( X, 'tc_bool'
% 1.04/1.39 ) ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( X, 'tc_bool'
% 1.04/1.39 ) ), T ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 1.04/1.39 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool'
% 1.04/1.39 ) ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool'
% 1.04/1.39 ) ), Z ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool'
% 1.04/1.39 ) ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool'
% 1.04/1.39 ) ), Z ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y,
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( 'c_lessequals'( Z,
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'tc_fun'(
% 1.04/1.39 Z, 'tc_bool' ) ), 'c_Set_Ovimage'( X, U, Z, T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, 'tc_fun'( T, 'tc_bool' ) ), U ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , T ), Z ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Y )
% 1.04/1.39 , 'tc_nat' ), 'c_Finite__Set_Ocard'( Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), X ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_Suc'( Y ), 'tc_nat' ), X ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 X, Y, 'tc_nat' ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 1.04/1.39 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z,
% 1.04/1.39 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' )
% 1.04/1.39 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.04/1.39 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.39 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'(
% 1.04/1.39 'c_Suc'( 'v_n' ), 'tc_nat' ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.04/1.39 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.04/1.39 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.04/1.39 , Y ) ],
% 1.04/1.39 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.04/1.39 , Y ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 1.04/1.39 , X ) ), 'c_Orderings_Oord__class_Omax'( Y, T, X ) ) ) ) ],
% 1.04/1.39 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( X, T, Y ) ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofun__left__comm'( X, Y, Y ), ~(
% 1.04/1.39 'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 X, 'c_Suc'( Y ), 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, T
% 1.04/1.39 , X ) ), 'c_Orderings_Oord__class_Omax'( Z, T, X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), hAPP( hAPP(
% 1.04/1.39 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 1.04/1.39 , X ) ), 'c_Orderings_Oord__class_Omax'( Y, T, X ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetprod'( 'c_COMBK'( 'c_HOL_Oone__class_Oone'( X ), X, Y
% 1.04/1.39 ), Z, Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.39 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.39 ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ofold'( X, Y, 'c_Set_Oinsert'( Z, T, U ), U, W ),
% 1.04/1.39 'c_Finite__Set_Ofold'( X, hAPP( hAPP( X, Z ), Y ), T, U, W ) ), hBOOL(
% 1.04/1.39 'c_in'( Z, T, U ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofun__left__comm'( X, U, W ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ofold'( X, Y, 'c_Set_Oinsert'( Z, T, U ), U, W ),
% 1.04/1.39 hAPP( hAPP( X, Z ), 'c_Finite__Set_Ofold'( X, Y, T, U, W ) ) ), hBOOL(
% 1.04/1.39 'c_in'( Z, T, U ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofun__left__comm'( X, U, W ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ), hAPP(
% 1.04/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ),
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, T, U, X ) ) ), hBOOL( 'c_in'( Z, T, U ) ),
% 1.04/1.39 ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), 'c_Finite__Set_Ocard'(
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ), X ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 1.04/1.39 X, Y ), 'tc_nat' ), 'c_Finite__Set_Ocard'( Z, Y ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'tc_fun'(
% 1.04/1.39 Z, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), 'c_Set_Oimage'( X, U, Z, T ) ) ) ), ~( 'c_Fun_Oinj__on'( X
% 1.04/1.39 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.39 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.04/1.39 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.04/1.39 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.04/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Z,
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Y,
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X
% 1.04/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y
% 1.04/1.39 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.04/1.39 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.04/1.39 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 1.04/1.39 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.39 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.39 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), ~(
% 1.04/1.39 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_Finite__Set_Osetsum'( Y, Z, T, X ), X ),
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, U, T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( Y,
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono3__1__1'( Z, U, Y, T, X )
% 1.04/1.39 ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.39 U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_Finite__Set_Osetsum'( Y, Z, T, X ), X ),
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, U, T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( Y,
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono2__1__1'( Z, U, Y, T, X )
% 1.04/1.39 ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.39 U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 1.04/1.39 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 1.04/1.39 U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ) ), ~( hBOOL( 'c_in'( T, Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 1.04/1.39 T, Z, Y ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( 'c_in'( Z, T, Y ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) ), T
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 1.04/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 1.04/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Y,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), hAPP( Y, T ) ) ) ), ~( hBOOL( 'c_in'( X, T, Z
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.39 , 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 1.04/1.39 ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U )
% 1.04/1.39 , X, Z ) ), ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP(
% 1.04/1.39 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~(
% 1.04/1.39 hBOOL( 'c_in'( W, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ), ~( hBOOL( 'c_in'(
% 1.04/1.39 U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ) ],
% 1.04/1.39 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 1.04/1.39 , U ), ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 1.04/1.39 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.39 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z,
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.04/1.39 U, 'tc_bool' ) ), U ), W, U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( Y, T, U ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U
% 1.04/1.39 ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.04/1.39 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 1.04/1.39 'c_Set_Oinsert'( Z, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), X ), U, X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( Y, T, X ) ) ), ~( 'c_Finite__Set_Ofold__graph'(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X, X ) ) ],
% 1.04/1.39 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), hAPP( Y, U ) )
% 1.04/1.39 , U ), ~( hBOOL( 'c_in'( U, X, Z ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( 'c_Fun_Oinj__on'( T, Y, Z, U ) ),
% 1.04/1.39 =( hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, T, Z, U ), hAPP( T, X ) ), X
% 1.04/1.39 ) ],
% 1.04/1.39 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y, U ) ), U ),
% 1.04/1.39 ~( hBOOL( 'c_in'( U, X, Z ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP( 'c_Fun_Othe__inv__into'(
% 1.04/1.39 Y, X, Z, T ), hAPP( X, U ) ), U ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 1.04/1.39 ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ofold'( X, Y, 'c_Set_Oinsert'( Z, T, U ), U, W ),
% 1.04/1.39 hAPP( hAPP( X, Z ), 'c_Finite__Set_Ofold'( X, Y,
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.04/1.39 U, 'tc_bool' ) ), U, W ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofun__left__comm'( X, U, W ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y
% 1.04/1.39 , Z, T ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ), Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ), Y, U ), 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) )
% 1.04/1.39 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 X, Y, 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.04/1.39 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.04/1.39 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) )
% 1.04/1.39 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.04/1.39 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.04/1.39 , Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ),
% 1.04/1.39 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) )
% 1.04/1.39 ],
% 1.04/1.39 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.04/1.39 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ),
% 1.04/1.39 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), X ), ~( 'c_Fun_Oinj__on'( Y, X, Z,
% 1.04/1.39 T ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.39 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ),
% 1.04/1.39 hBOOL( 'c_in'( T, X, Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'(
% 1.04/1.39 Y, 'tc_bool' ) ), 'c_Set_Oinsert'( T, Z, Y ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.39 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.39 'c_Set_Oinsert'( T, Z, Y ) ) ) ), hBOOL( 'c_in'( T, X, Y ) ) ],
% 1.04/1.39 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 1.04/1.39 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.04/1.39 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 1.04/1.39 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 1.04/1.39 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), 'tc_fun'(
% 1.04/1.39 T, 'tc_bool' ) ), Z ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oimage'( X,
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.04/1.39 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.04/1.39 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.39 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.04/1.39 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.04/1.39 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.39 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 X, 'tc_nat' ), Y ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.04/1.39 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( hAPP( X, Y ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 1.04/1.39 ), T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Ocard'( X, Z ),
% 1.04/1.39 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), ~( hBOOL( 'c_in'( Y,
% 1.04/1.39 X, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Ocard'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), T ),
% 1.04/1.39 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), hBOOL( 'c_in'( Y, Z,
% 1.04/1.39 T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_Finite__Set_Ofinite'( X, T
% 1.04/1.39 ) ) ],
% 1.04/1.39 [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.04/1.39 'c_Finite__Set_Ocard'( X, Z ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.04/1.39 Z, 'tc_bool' ) ), Z ), 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Z ) ) ), ~(
% 1.04/1.39 hBOOL( 'c_in'( Y, X, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( T,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.04/1.39 Z, 'tc_bool' ) ), Z ), 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Z ) ) ), ~(
% 1.04/1.39 hBOOL( 'c_in'( T, X, Z ) ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.04/1.39 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.04/1.39 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( T, Z, U ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.04/1.39 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.04/1.39 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 1.04/1.39 Y, T ), X ) ), ~( hBOOL( 'c_in'( T, Z, U ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetprod'(
% 1.04/1.39 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.04/1.39 U, 'tc_bool' ) ), U, X ), 'c_Finite__Set_Osetprod'( Y, Z, U, X ) ), hBOOL(
% 1.04/1.39 'c_in'( T, Z, U ) ), =( hAPP( Y, T ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.39 ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Set_Oinsert'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 1.04/1.39 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 1.04/1.39 X, T ), T ) ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y,
% 1.04/1.39 'tc_fun'( T, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) )
% 1.04/1.39 ],
% 1.04/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 1.04/1.39 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 1.04/1.39 X, T ), T ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y,
% 1.04/1.39 'tc_fun'( T, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) )
% 1.04/1.39 ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 1.04/1.39 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'(
% 1.04/1.39 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) )
% 1.04/1.39 ],
% 1.04/1.39 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.04/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat'
% 1.04/1.39 ), hAPP( X, Z ), 'tc_nat' ) ), ~( hBOOL( 'c_in'( Z, Y, T ) ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 1.04/1.39 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 1.04/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( Y, W, T ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ), 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' )
% 1.04/1.39 ), T ) ) ), hBOOL( 'c_in'( Z, T, Y ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.04/1.39 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.04/1.39 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( 'c_in'( T, Z, U ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 1.04/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ),
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), =( Z,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 1.04/1.39 'c_Orderings_Oord__class_Omax'( Y, 'c_Finite__Set_Olinorder__class_OMax'(
% 1.04/1.39 Z, X ), X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 1.04/1.39 , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z ), ~( hBOOL( 'c_in'( Z,
% 1.04/1.39 Y, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y,
% 1.04/1.39 Z, X ) ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Z ), ~( hBOOL( 'c_in'( Z,
% 1.04/1.39 Y, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y,
% 1.04/1.39 Z, X ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.04/1.39 Z, 'tc_bool' ) ), Z ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 'c_Finite__Set_Ocard'( X, Z ), 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.39 , X ), Y ), Z ), 'tc_nat' ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.39 , X ), Y ), Z ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.04/1.39 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X
% 1.04/1.39 , Z, T, 'tc_nat' ), 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z,
% 1.04/1.39 'tc_fun'( T, 'tc_bool' ) ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) )
% 1.04/1.39 ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ), 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' )
% 1.04/1.39 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), U ), W, Z
% 1.04/1.39 ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Z, 'tc_bool' ) ), W )
% 1.04/1.39 ) ), ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 1.04/1.39 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 1.04/1.39 X ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_fun'( U, 'tc_bool' ) )
% 1.04/1.39 , Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Y ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( X, Y ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 1.04/1.39 ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X,
% 1.04/1.39 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 1.04/1.39 W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.04/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 1.04/1.39 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), hBOOL( 'c_in'( Z, Y, T )
% 1.04/1.39 ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ), 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' )
% 1.04/1.39 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ), 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' )
% 1.04/1.39 ), T ) ) ), hBOOL( 'c_in'( Z, T, Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.39 ), T ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Z, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oinsert'( Y, T, Z ) ) ) ) ],
% 1.04/1.39 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 1.04/1.39 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.04/1.39 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 1.04/1.39 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( T, Z, W ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'(
% 1.04/1.39 X, Y, Z ), Z ), 'c_Suc'( 'c_Finite__Set_Ocard'( Y, Z ) ) ), =(
% 1.04/1.39 'c_Finite__Set_Ocard'( Y, Z ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ) ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ),
% 1.04/1.39 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.04/1.39 Y, 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 1.04/1.39 'c_Finite__Set_Ocard'( Y, Z ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 1.04/1.39 ), Z, T ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.04/1.39 T, 'tc_bool' ) ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z ), ~( hBOOL( 'c_in'( Z,
% 1.04/1.39 Y, X ) ) ), hBOOL( 'c_in'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y,
% 1.04/1.39 Z, X ), Y, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Z ), ~( hBOOL( 'c_in'( Z,
% 1.04/1.39 Y, X ) ) ), hBOOL( 'c_in'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y,
% 1.04/1.39 Z, X ), Y, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.04/1.39 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.04/1.39 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.04/1.39 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T, U ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T,
% 1.04/1.39 Z ), ~( hBOOL( hAPP( 'c_lessequals'( U, 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.39 'c_Set_Oimage'( Y, X, Z, T ) ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 1.04/1.39 , 'tc_bool' ) ), 'c_Set_Oimage'( X, U, Z, T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, 'tc_fun'( Z, 'tc_bool' ) ), U ) ) ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z, T ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( T, X, Y, U ), 'tc_fun'( U,
% 1.04/1.39 'tc_bool' ) ), 'c_Set_Oimage'( T, Z, Y, U ) ) ) ), ~( 'c_Fun_Oinj__on'( T
% 1.04/1.39 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, U ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.04/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( T, 'tc_fun'( Y, 'tc_bool' ) ), W ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( Z, 'tc_fun'( Y, 'tc_bool' ) ), W ) ) ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ),
% 1.04/1.39 'c_Set_Oimage'( Y, U, Z, T ), T, Z ), U ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 U, 'tc_fun'( Z, 'tc_bool' ) ), X ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.39 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), 'c_Finite__Set_Ocard'(
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Y ) ) ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T ) ),
% 1.04/1.39 hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z,
% 1.04/1.39 Y, X, T, U ), Z, T ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'(
% 1.04/1.39 U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z ) ), hBOOL(
% 1.04/1.39 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z
% 1.04/1.39 , T ), Y, Z ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T ) ),
% 1.04/1.39 hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z,
% 1.04/1.39 Y, X, T, U ), Z, T ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'(
% 1.04/1.39 U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z ) ), hBOOL(
% 1.04/1.39 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z
% 1.04/1.39 , T ), Y, Z ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 1.04/1.39 'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, W
% 1.04/1.39 , T, U ) ) ],
% 1.04/1.39 [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T ), U ) ), U ),
% 1.04/1.39 ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.04/1.39 hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ),
% 1.04/1.39 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 1.04/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 1.04/1.39 'c_in'( X, T, Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 1.04/1.39 , 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( hAPP( X,
% 1.04/1.39 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ) ), U, T
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ),
% 1.04/1.39 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, 'tc_fun'( T, 'tc_bool' )
% 1.04/1.39 ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ),
% 1.04/1.39 'tc_fun'( T, 'tc_bool' ) ), hAPP( Z, 'c_Set_Oimage'( X, U, W, T ) ) ) ) )
% 1.04/1.39 , ~( hBOOL( 'c_in'( Y, U, W ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 1.04/1.39 , 'tc_bool' ) ), U ) ), hBOOL( 'c_in'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ), Y
% 1.04/1.39 , Z ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 1.04/1.39 , 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( hAPP( X,
% 1.04/1.39 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ) ),
% 1.04/1.39 U, T ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 1.04/1.39 , 'tc_bool' ) ), U ) ), hBOOL( 'c_in'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ), Y, Z )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetprod'(
% 1.04/1.39 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.04/1.39 U, 'tc_bool' ) ), U, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.39 'c_Finite__Set_Osetprod'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( T, Z, U ) ) ), =( hAPP( Y, T ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.39 , ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), hBOOL( 'c_in'( Z, X, Y ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.39 , 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), hBOOL( 'c_in'( Z, X, Y ) ), hBOOL(
% 1.04/1.39 'c_in'( Z, T, Y ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ),
% 1.04/1.39 hBOOL( 'c_in'( T, X, Y ) ), hBOOL( 'c_in'( T, Z, Y ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_HOL_Oord__class_Oless'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 1.04/1.39 T, Z, Y ) ) ) ) ],
% 1.04/1.39 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 1.04/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 1.04/1.39 T ) ) ],
% 1.04/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~(
% 1.04/1.39 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 1.04/1.39 [ ~( =( 'c_Finite__Set_Osetsum'( X, Y, Z, 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.04/1.39 , Z ) ), =( hAPP( X, T ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.04/1.39 hBOOL( 'c_in'( T, Y, Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.04/1.39 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y, Z ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( T, U ) ), =( 'c_Finite__Set_Osetprod'( Y, T, U,
% 1.04/1.39 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y,
% 1.04/1.39 Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.04/1.39 , ~( 'c_Finite__Set_Ofinite'( T, U ) ), =( 'c_Finite__Set_Osetprod'( Y, T
% 1.04/1.39 , U, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ofold'( X, Y, Z, T, U ), hAPP( hAPP( X, W ),
% 1.04/1.39 'c_Finite__Set_Ofold'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.04/1.39 'c_Set_Oinsert'( W, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( W, Z, T ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofun__left__comm'( X, T, U ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP( hAPP(
% 1.04/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, U ) ), 'c_Finite__Set_Osetsum'(
% 1.04/1.39 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( U,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.39 T, 'tc_bool' ) ), T, X ) ) ), ~( hBOOL( 'c_in'( U, Z, T ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_Finite__Set_Osetsum'( Y, Z, T, X ), X ),
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, U, T, X ) ) ), hBOOL( 'c_in'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono2__1__1'( Z, U, Y, T, X )
% 1.04/1.39 , 'c_HOL_Ominus__class_Ominus'( U, Z, 'tc_fun'( T, 'tc_bool' ) ), T ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ) ),
% 1.04/1.39 ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), ~(
% 1.04/1.39 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_Finite__Set_Osetsum'( Y, Z, T, X ), X ),
% 1.04/1.39 'c_Finite__Set_Osetsum'( Y, U, T, X ) ) ), hBOOL( 'c_in'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono3__1__1'( Z, U, Y, T, X )
% 1.04/1.39 , 'c_HOL_Ominus__class_Ominus'( U, Z, 'tc_fun'( T, 'tc_bool' ) ), T ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ) ),
% 1.04/1.39 ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), T ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.04/1.39 'c_Finite__Set_Ocard'( X, Z ) ), hBOOL( 'c_in'( Y, X, Z ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.04/1.39 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 1.04/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.04/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 1.04/1.39 Y, Z ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 1.04/1.39 ],
% 1.04/1.39 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 1.04/1.39 ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.04/1.39 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.04/1.39 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 1.04/1.39 ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.04/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 1.04/1.39 , 'tc_bool' ) ), Z ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 1.04/1.39 , 'tc_bool' ) ), T ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ),
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ),
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 X ) ) ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.04/1.39 ), Z ) ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.04/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 1.04/1.39 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.39 ), T ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, T, Z )
% 1.04/1.39 ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.39 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Z
% 1.04/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.39 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Z
% 1.04/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.39 [ 'v_wt'( 'c_Option_Othe'( hAPP( 'c_Com_Obody', X ), 'tc_Com_Ocom' ) ),
% 1.04/1.39 ~( hBOOL( 'c_in'( X, 'v_U', 'tc_Com_Opname' ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.04/1.39 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.04/1.39 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.04/1.39 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.04/1.39 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.04/1.39 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.04/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.04/1.39 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), X ) ) ],
% 1.04/1.39 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.04/1.39 ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.39 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.04/1.39 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.04/1.39 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_fun'( T, 'tc_bool' ) ), W ) ) ),
% 1.04/1.39 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( T, 'tc_bool' ) ), W ) ) ),
% 1.04/1.39 ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( U, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ) ), ~(
% 1.04/1.39 hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Z, 'tc_bool' ) ), T ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( T, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( T, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( T, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( 'c_lessequals'( Y,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) )
% 1.04/1.39 ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.04/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( X, 'tc_fun'( T, 'tc_bool' ) ), Y ) ) ), ~( hBOOL(
% 1.04/1.39 hAPP( 'c_lessequals'( Z, 'tc_fun'( T, 'tc_bool' ) ), X ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.04/1.39 T, 'tc_bool' ) ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.39 'c_Set_Oinsert'( Y, Z, T ), T, U ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'(
% 1.04/1.39 hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.04/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~(
% 1.04/1.39 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.04/1.39 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.04/1.39 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 1.04/1.39 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 1.04/1.39 X, Z, T ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 1.04/1.39 X, Z, T ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 1.04/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 1.04/1.39 , Z ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.04/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 1.04/1.39 'c_in'( X, Y, Z ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y, Z ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 1.04/1.39 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.04/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 1.04/1.39 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.04/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.39 ) ), =( Y, Z ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.39 ) ), =( Y, Z ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.39 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.39 ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.39 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.04/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), X ), Z ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.39 , X ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~( hBOOL(
% 1.04/1.39 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.04/1.39 hBOOL( 'c_in'( X, T, Z ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 1.04/1.39 , T ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 1.04/1.39 , T ) ) ) ],
% 1.04/1.39 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.04/1.39 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 1.04/1.39 , U ) ) ) ],
% 1.04/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.04/1.39 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 1.04/1.39 =( Y, Z ) ],
% 1.04/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.04/1.39 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 1.04/1.39 =( Y, Z ) ],
% 1.04/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.04/1.39 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 1.04/1.39 U, W ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.04/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.04/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 1.04/1.39 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 1.04/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.04/1.39 ,
% 1.04/1.39 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.39 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.39 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 1.04/1.39 ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( T,
% 1.04/1.39 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.39 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.39 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Z,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'tc_fun'(
% 1.04/1.39 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.04/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 1.04/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 1.04/1.39 , T, U ), 'tc_fun'( T, 'tc_bool' ) ), X ) ), ~( hBOOL( hAPP(
% 1.04/1.39 'c_lessequals'( Y, 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'( Z, X, T, U
% 1.04/1.39 ) ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 1.04/1.39 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 1.04/1.39 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ),
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) )
% 1.04/1.39 ],
% 1.04/1.39 [ 'c_Finite__Set_Ofinite'(
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 1.04/1.39 , T, U ), T ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( U, 'tc_bool'
% 1.04/1.39 ) ), 'c_Set_Oimage'( Z, X, T, U ) ) ) ), ~( 'c_Finite__Set_Ofinite'( Y,
% 1.04/1.39 U ) ) ],
% 1.04/1.39 [ =( X, 'c_Set_Oimage'( Y,
% 1.04/1.39 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 1.04/1.39 , T, U ), T, U ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( U,
% 1.04/1.39 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, U ) ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( X, U ) ) ],
% 1.04/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( hBOOL( hAPP( 'c_lessequals'( Y,
% 1.04/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oimage'( X, Y, Z, Z ) ) ) ), ~(
% 1.04/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.39 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.39 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.04/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.04/1.40 'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.04/1.40 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.40 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.04/1.40 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.40 [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.04/1.40 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ),
% 1.04/1.40 'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( hAPP( 'v_mgt__call', Y
% 1.04/1.40 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a'
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'v_P', 'c_Set_Oinsert'( hAPP( 'v_mgt__call'
% 1.04/1.40 , Y ), X, 't_a' ) ), 'c_Set_Oinsert'( 'v_mgt'( 'c_Option_Othe'( hAPP(
% 1.04/1.40 'c_Com_Obody', Y ), 'tc_Com_Ocom' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.40 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), X ),
% 1.04/1.40 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_fun'(
% 1.04/1.40 X, 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.40 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), X ),
% 1.04/1.40 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'(
% 1.04/1.40 X, 'tc_bool' ) ), Z ) ) ) ],
% 1.04/1.40 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), 'tc_fun'( Y
% 1.04/1.40 , 'tc_bool' ) ), X ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( 'c_lessequals'( 'c_Set_Oimage'( W, X, Y, T ), 'tc_fun'( T,
% 1.04/1.40 'tc_bool' ) ), Z ) ) ), ~( 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 1.04/1.40 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.04/1.40 Z, 'tc_bool' ) ), Z ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.40 'c_Finite__Set_Ocard'( X, Z ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' )
% 1.04/1.40 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( Z, 'tc_bool' ) ), X ) )
% 1.04/1.40 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_Finite__Set_Ocard'(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.04/1.40 Z, 'tc_bool' ) ), Z ), 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Z ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'tc_nat' )
% 1.04/1.40 , 'c_Finite__Set_Ocard'( Z, T ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) )
% 1.04/1.40 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( U, X, Y, T ), 'tc_fun'(
% 1.04/1.40 T, 'tc_bool' ) ), Z ) ) ), ~( 'c_Fun_Oinj__on'( U, X, Y, T ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 1.04/1.40 ), hBOOL( 'c_in'( 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U',
% 1.04/1.40 'v_mgt__call' ), 'v_U', 'tc_Com_Opname' ) ), ~( 'v_wt'( Y ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( hAPP(
% 1.04/1.40 'v_mgt__call', 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U',
% 1.04/1.40 'v_mgt__call' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 1.04/1.40 'tc_bool' ) ), 't_a' ) ) ) ), ~( 'v_wt'( Y ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.40 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'tc_fun'( Z,
% 1.04/1.40 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) )
% 1.04/1.40 , hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( T, X, Y, U ), 'tc_fun'( U
% 1.04/1.40 , 'tc_bool' ) ), 'c_Set_Oimage'( T, Z, Y, U ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 1.04/1.40 , 'tc_bool' ) ), 'c_Set_Oimage'( X, U, Z, T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Y, 'tc_fun'( Z, 'tc_bool' ) ), U ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.40 , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( U, X ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.40 , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.04/1.40 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.04/1.40 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.04/1.40 , 'tc_bool' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Z,
% 1.04/1.40 'tc_bool' ) ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.40 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_fun'( T
% 1.04/1.40 , 'tc_bool' ) ), X ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.04/1.40 , ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.40 , X ), Y ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.04/1.40 ), Y ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Z, 'tc_fun'( T, 'tc_bool' ) ), X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~(
% 1.04/1.40 hBOOL( hAPP( 'c_lessequals'( T, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.04/1.40 , 'tc_nat' ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.40 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.04/1.40 ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.04/1.40 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.04/1.40 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.04/1.40 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.04/1.40 X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.04/1.40 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.04/1.40 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.40 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.04/1.40 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.40 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.04/1.40 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.40 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.04/1.40 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.40 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.04/1.40 Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.40 Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.04/1.40 Z ) ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.40 ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.40 ), Y ) ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.40 ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Z, 'tc_bool' )
% 1.04/1.40 ), Y ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.40 ) ), Y ) ) ) ],
% 1.04/1.40 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Finite__Set_Ocard'( Y, Z
% 1.04/1.40 ), 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'tc_nat' )
% 1.04/1.40 , 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.40 'tc_bool' ) ), X ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.40 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.40 'c_Set_Oinsert'( Z, X, Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.04/1.40 X, T ), Y ) ) ) ],
% 1.04/1.40 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.04/1.40 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.04/1.40 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.04/1.40 X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ],
% 1.04/1.40 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.04/1.40 'c_Set_Oinsert'( Z, T, Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.40 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~(
% 1.04/1.40 hBOOL( hAPP( 'c_lessequals'( 'c_Set_Oinsert'( T, X, Y ), 'tc_fun'( Y,
% 1.04/1.40 'tc_bool' ) ), Z ) ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.40 'tc_fun'( Y, 'tc_bool' ) ), 'c_Set_Oimage'( Z, T, U, Y ) ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.04/1.40 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.04/1.40 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.40 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.40 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.40 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.04/1.40 ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.04/1.40 , 'tc_nat' ), X ) ) ) ],
% 1.04/1.40 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.04/1.40 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.40 , T, X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.04/1.40 , T, X ) ) ), =( Z, T ) ],
% 1.04/1.40 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.40 , 'tc_nat' ), X ) ) ), =( X, Z ) ],
% 1.04/1.40 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.40 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.40 'tc_bool' ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.40 'tc_nat' ), 'tc_nat' ), X ) ) ],
% 1.04/1.40 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.04/1.40 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.40 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.04/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.40 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.04/1.40 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.04/1.40 , 'tc_nat' ), X ) ) ) ],
% 1.04/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.40 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'v_P', X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.04/1.40 Y, 'tc_fun'( 't_a', 'tc_bool' ) ), X ) ) ) ],
% 1.04/1.40 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.40 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.04/1.40 ) ), Z, X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'tc_nat' )
% 1.04/1.40 , 'c_Finite__Set_Ocard'( Z, Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.04/1.40 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X
% 1.04/1.40 , Y, Z, T ), T ), 'tc_nat' ), 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~(
% 1.04/1.40 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.04/1.40 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.40 Y, X ) ],
% 1.04/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.04/1.40 , 'tc_nat' ), 'tc_nat' ), Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y,
% 1.04/1.40 'tc_nat' ), X ) ) ) ],
% 1.04/1.40 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( Y, Z )
% 1.04/1.40 , X ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_fun'( U,
% 1.04/1.40 X ) ), T ) ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( 'v_U', 'tc_Com_Opname' ) ],
% 1.04/1.40 [ =( 'v_uG', 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname',
% 1.04/1.40 't_a' ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'v_x', 'tc_fun'( 't_a', 'tc_bool' ) ),
% 1.04/1.40 'v_uG' ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( 'c_lessequals'( 'v_n', 'tc_nat' ), 'c_Finite__Set_Ocard'(
% 1.04/1.40 'v_uG', 't_a' ) ) ) ],
% 1.04/1.40 [ =( 'c_Finite__Set_Ocard'( 'v_x', 't_a' ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.40 'c_Finite__Set_Ocard'( 'v_uG', 't_a' ), 'v_n', 'tc_nat' ) ) ],
% 1.04/1.40 [ 'v_wt'( 'v_xa' ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'c_Set_Oinsert'( 'v_mgt'( 'v_xa'
% 1.04/1.40 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a'
% 1.04/1.40 ) ) ) ) ],
% 1.04/1.40 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.40 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.04/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.40 'class_Lattices_Olattice'( Y ) ) ],
% 1.04/1.40 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.40 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.04/1.40 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.40 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.04/1.40 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.04/1.40 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.40 'class_Orderings_Opreorder'( Y ) ) ],
% 1.04/1.40 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.40 'class_Lattices_Olattice'( Y ) ) ],
% 1.04/1.40 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.40 'class_Orderings_Oorder'( Y ) ) ],
% 1.04/1.40 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.04/1.40 Y ) ) ],
% 1.04/1.40 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.04/1.40 Y ) ) ],
% 1.04/1.40 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.04/1.40 ],
% 1.04/1.40 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.04/1.40 ) ],
% 1.04/1.40 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.04/1.40 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.04/1.40 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.04/1.40 [ 'c_fequal'( X, X, Y ) ],
% 1.04/1.40 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.04/1.40 ] .
% 1.04/1.40
% 1.04/1.40
% 1.04/1.40 percentage equality = 0.189788, percentage horn = 0.842510
% 1.04/1.40 This is a problem with some equality
% 1.04/1.40
% 1.04/1.40
% 1.04/1.40
% 1.04/1.40 Options Used:
% 1.04/1.40
% 1.04/1.40 useres = 1
% 1.04/1.40 useparamod = 1
% 1.04/1.40 useeqrefl = 1
% 1.04/1.40 useeqfact = 1
% 1.04/1.40 usefactor = 1
% 1.04/1.40 usesimpsplitting = 0
% 1.04/1.40 usesimpdemod = 5
% 1.04/1.40 usesimpres = 3
% 1.04/1.40
% 1.04/1.40 resimpinuse = 1000
% 1.04/1.40 resimpclauses = 20000
% 1.04/1.40 substype = eqrewr
% 1.04/1.40 backwardsubs = 1
% 1.04/1.40 selectoldest = 5
% 1.04/1.40
% 1.04/1.40 litorderings [0] = split
% 1.04/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 1.04/1.40
% 1.04/1.40 termordering = kbo
% 1.04/1.40
% 1.04/1.40 litapriori = 0
% 1.04/1.40 termapriori = 1
% 1.04/1.40 litaposteriori = 0
% 1.04/1.40 termaposteriori = 0
% 1.04/1.40 demodaposteriori = 0
% 1.04/1.40 ordereqreflfact = 0
% 1.04/1.40
% 1.04/1.40 litselect = negord
% 1.04/1.40
% 1.04/1.40 maxweight = 15
% 1.04/1.40 maxdepth = 30000
% 1.04/1.40 maxlength = 115
% 1.04/1.40 maxnrvars = 195
% 1.04/1.40 excuselevel = 1
% 1.04/1.40 increasemaxweight = 1
% 1.04/1.40
% 1.04/1.40 maxselected = 10000000
% 1.04/1.40 maxnrclauses = 10000000
% 1.04/1.40
% 1.04/1.40 showgenerated = 0
% 1.04/1.40 showkept = 0
% 1.04/1.40 showselected = 0
% 1.04/1.40 showdeleted = 0
% 1.04/1.40 showresimp = 1
% 1.04/1.40 showstatus = 2000
% 1.04/1.40
% 1.04/1.40 prologoutput = 1
% 1.04/1.40 nrgoals = 5000000
% 1.04/1.40 totalproof = 1
% 1.04/1.40
% 1.04/1.40 Symbols occurring in the translation:
% 1.04/1.40
% 1.04/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.04/1.40 . [1, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.04/1.40 ! [4, 1] (w:0, o:67, a:1, s:1, b:0),
% 1.04/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.40 'tc_nat' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero' [40, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.04/1.40 'c_HOL_Oord__class_Oless' [41, 2] (w:1, o:149, a:1, s:1, b:0),
% 1.04/1.40 'c_Suc' [43, 1] (w:1, o:73, a:1, s:1, b:0),
% 1.04/1.40 hAPP [44, 2] (w:1, o:150, a:1, s:1, b:0),
% 1.04/1.40 hBOOL [45, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.04/1.40 'class_Orderings_Olinorder' [47, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.04/1.40 'c_Orderings_Oord__class_Omax' [50, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.04/1.40 'tc_bool' [53, 0] (w:1, o:20, a:1, s:1, b:0),
% 1.04/1.40 'tc_fun' [54, 2] (w:1, o:151, a:1, s:1, b:0),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf' [55, 1] (w:1, o:77, a:1
% 1.04/1.40 , s:1, b:0),
% 1.04/1.40 'class_Lattices_Olower__semilattice' [58, 1] (w:1, o:78, a:1, s:1, b:
% 1.04/1.40 0),
% 1.04/1.40 'class_Lattices_Olattice' [59, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.04/1.40 'c_Orderings_Oord__class_Omin' [60, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.04/1.40 'c_SetInterval_Oord__class_OlessThan' [61, 2] (w:1, o:152, a:1, s:1
% 1.04/1.40 , b:0),
% 1.04/1.40 'class_OrderedGroup_Opordered__comm__monoid__add' [62, 1] (w:1, o:81
% 1.04/1.40 , a:1, s:1, b:0),
% 1.04/1.40 'c_HOL_Oplus__class_Oplus' [63, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.04/1.40 'class_Ring__and__Field_Ofield' [64, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.58/1.96 'class_Ring__and__Field_Odivision__by__zero' [65, 1] (w:1, o:86, a:1
% 1.58/1.96 , s:1, b:0),
% 1.58/1.96 'c_HOL_Oinverse__class_Odivide' [66, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.58/1.96
% 1.58/1.96 'c_Set_Oinsert' [68, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.58/1.96 'c_Finite__Set_Ofold__graph' [69, 6] (w:1, o:192, a:1, s:1, b:0),
% 1.58/1.96 'c_in' [70, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.58/1.96 'c_OrderedGroup_Oab__semigroup__mult' [71, 2] (w:1, o:154, a:1, s:1
% 1.58/1.96 , b:0),
% 1.58/1.96 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1' [75, 5] (w:1
% 1.58/1.96 , o:183, a:1, s:1, b:0),
% 1.58/1.96 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2' [76, 5] (w:1
% 1.58/1.96 , o:184, a:1, s:1, b:0),
% 1.58/1.96 'c_Set_Oimage' [77, 4] (w:1, o:175, a:1, s:1, b:0),
% 1.58/1.96 'c_Fun_Oinj__on' [78, 4] (w:1, o:176, a:1, s:1, b:0),
% 1.58/1.96 'c_lessequals' [79, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.58/1.96 'c_Finite__Set_Ofold' [80, 5] (w:1, o:185, a:1, s:1, b:0),
% 1.58/1.96 'c_Finite__Set_Ofun__left__comm' [81, 3] (w:1, o:166, a:1, s:1, b:0)
% 1.58/1.96 ,
% 1.58/1.96 'class_Ring__and__Field_Oidom' [84, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.58/1.96 'class_Int_Onumber__ring' [85, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.58/1.96 'class_OrderedGroup_Ocancel__ab__semigroup__add' [86, 1] (w:1, o:91
% 1.58/1.96 , a:1, s:1, b:0),
% 1.58/1.96 'class_OrderedGroup_Ocancel__semigroup__add' [88, 1] (w:1, o:92, a:1
% 1.58/1.96 , s:1, b:0),
% 1.58/1.96 'c_HOL_Oone__class_Oone' [89, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.58/1.96 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [90, 1]
% 1.58/1.96 (w:1, o:93, a:1, s:1, b:0),
% 1.58/1.96 'class_Ring__and__Field_Oordered__field' [91, 1] (w:1, o:95, a:1, s:1
% 1.58/1.96 , b:0),
% 1.58/1.96 'c_Orderings_Otop__class_Otop' [92, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.58/1.96 'c_Fun_Othe__inv__into' [93, 4] (w:1, o:177, a:1, s:1, b:0),
% 1.58/1.96 'c_HOL_Ominus__class_Ominus' [94, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.58/1.96 'c_Finite__Set_Ofinite' [95, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.58/1.96 'class_Ring__and__Field_Ocomm__semiring__1' [96, 1] (w:1, o:85, a:1
% 1.58/1.96 , s:1, b:0),
% 1.58/1.96 'c_Set_Ovimage' [98, 4] (w:1, o:178, a:1, s:1, b:0),
% 1.58/1.96 'class_Ring__and__Field_Osemiring__1' [99, 1] (w:1, o:99, a:1, s:1
% 1.58/1.96 , b:0),
% 1.58/1.96 'c_Nat_Osemiring__1__class_Oof__nat' [100, 2] (w:1, o:153, a:1, s:1
% 1.58/1.96 , b:0),
% 1.58/1.96 'class_Ring__and__Field_Ozero__neq__one' [101, 1] (w:1, o:100, a:1
% 1.58/1.96 , s:1, b:0),
% 1.58/1.96 'class_OrderedGroup_Ocomm__monoid__add' [102, 1] (w:1, o:101, a:1, s:
% 1.58/1.96 1, b:0),
% 1.58/1.96 'class_OrderedGroup_Olordered__ab__group__add' [103, 1] (w:1, o:102
% 1.58/1.96 , a:1, s:1, b:0),
% 1.58/1.96 'class_OrderedGroup_Olordered__ab__group__add__meet' [104, 1] (w:1
% 1.58/1.96 , o:103, a:1, s:1, b:0),
% 1.58/1.96 'class_OrderedGroup_Oab__group__add' [105, 1] (w:1, o:104, a:1, s:1
% 1.58/1.96 , b:0),
% 1.58/1.96 'class_OrderedGroup_Oab__semigroup__add' [107, 1] (w:1, o:105, a:1
% 1.58/1.96 , s:1, b:0),
% 1.58/1.96 'class_Orderings_Oorder' [108, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.58/1.96 'class_Orderings_Opreorder' [110, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.58/1.96 'class_OrderedGroup_Ocomm__monoid__mult' [113, 1] (w:1, o:108, a:1
% 1.58/1.96 , s:1, b:0),
% 1.58/1.96 'c_Orderings_Obot__class_Obot' [114, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.58/1.96
% 1.58/1.96 'c_Finite__Set_Osetprod' [115, 4] (w:1, o:179, a:1, s:1, b:0),
% 1.58/1.96 'class_HOL_Oord' [118, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.58/1.96 'c_Fun_Ofun__upd' [122, 5] (w:1, o:186, a:1, s:1, b:0),
% 1.58/1.96 'class_Ring__and__Field_Oordered__idom' [123, 1] (w:1, o:110, a:1, s:
% 1.58/1.96 1, b:0),
% 1.58/1.96 'class_Ring__and__Field_Oordered__semidom' [124, 1] (w:1, o:111, a:1
% 1.58/1.96 , s:1, b:0),
% 1.58/1.96 'c_Hilbert__Choice_Oinv__into' [125, 4] (w:1, o:180, a:1, s:1, b:0),
% 1.58/1.96
% 1.58/1.96 'class_OrderedGroup_Omonoid__add' [127, 1] (w:1, o:112, a:1, s:1, b:0
% 1.58/1.96 ),
% 1.58/1.96 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [128, 1]
% 1.58/1.96 (w:1, o:113, a:1, s:1, b:0),
% 1.58/1.96 'class_OrderedGroup_Opordered__ab__group__add' [129, 1] (w:1, o:114
% 1.58/1.96 , a:1, s:1, b:0),
% 1.58/1.96 'class_Complete__Lattice_Ocomplete__lattice' [130, 1] (w:1, o:115, a:
% 1.58/1.96 1, s:1, b:0),
% 1.58/1.96 'c_Inductive_Ocomplete__lattice__class_Ogfp' [131, 2] (w:1, o:157, a:
% 1.58/1.96 1, s:1, b:0),
% 1.58/1.96 'class_Orderings_Otop' [132, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.58/1.96 'class_OrderedGroup_Opordered__ab__semigroup__add' [133, 1] (w:1, o:
% 9.47/9.83 117, a:1, s:1, b:0),
% 9.47/9.83 'class_Lattices_Obounded__lattice' [134, 1] (w:1, o:118, a:1, s:1, b:
% 9.47/9.83 0),
% 9.47/9.83 't_a' [135, 0] (w:1, o:45, a:1, s:1, b:0),
% 9.47/9.83 'v_x' [136, 0] (w:1, o:46, a:1, s:1, b:0),
% 9.47/9.83 'class_OrderedGroup_Ogroup__add' [143, 1] (w:1, o:119, a:1, s:1, b:0)
% 9.47/9.83 ,
% 9.47/9.83 'class_Finite__Set_Ofinite_Ofinite' [144, 1] (w:1, o:120, a:1, s:1
% 9.47/9.83 , b:0),
% 9.47/9.83 'c_Nitpick_Ofold__graph_H' [146, 6] (w:1, o:193, a:1, s:1, b:0),
% 9.47/9.83 'c_Finite__Set_Ocard' [148, 2] (w:1, o:158, a:1, s:1, b:0),
% 9.47/9.83 'v_n' [150, 0] (w:1, o:51, a:1, s:1, b:0),
% 9.47/9.83 'c_COMBK' [151, 3] (w:1, o:168, a:1, s:1, b:0),
% 9.47/9.83 'c_Finite__Set_Osetsum' [152, 4] (w:1, o:181, a:1, s:1, b:0),
% 9.47/9.83 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono3__1__1' [153, 5] (w:1
% 9.47/9.83 , o:188, a:1, s:1, b:0),
% 9.47/9.83 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__mono2__1__1' [154, 5] (w:1
% 9.47/9.83 , o:187, a:1, s:1, b:0),
% 9.47/9.83 'class_HOL_Ominus' [155, 1] (w:1, o:89, a:1, s:1, b:0),
% 9.47/9.83 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2' [156, 3
% 9.47/9.83 ] (w:1, o:170, a:1, s:1, b:0),
% 9.47/9.83 'class_Ring__and__Field_Oring' [157, 1] (w:1, o:97, a:1, s:1, b:0),
% 9.47/9.83 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1' [158, 3
% 9.47/9.83 ] (w:1, o:169, a:1, s:1, b:0),
% 9.47/9.83 'c_Finite__Set_Olinorder__class_OMin' [159, 2] (w:1, o:159, a:1, s:1
% 9.47/9.83 , b:0),
% 9.47/9.83 'c_Finite__Set_Olinorder__class_OMax' [160, 2] (w:1, o:160, a:1, s:1
% 9.47/9.83 , b:0),
% 9.47/9.83 'c_Com_Obody' [161, 0] (w:1, o:52, a:1, s:1, b:0),
% 9.47/9.83 'tc_Com_Opname' [162, 0] (w:1, o:53, a:1, s:1, b:0),
% 9.47/9.83 'tc_Com_Ocom' [163, 0] (w:1, o:54, a:1, s:1, b:0),
% 9.47/9.83 'c_Map_Odom' [164, 3] (w:1, o:171, a:1, s:1, b:0),
% 9.47/9.83 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1' [165
% 9.47/9.83 , 3] (w:1, o:172, a:1, s:1, b:0),
% 9.47/9.83 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1' [166
% 9.47/9.83 , 3] (w:1, o:173, a:1, s:1, b:0),
% 9.47/9.83 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1' [168, 5] (w:1, o:189
% 9.47/9.83 , a:1, s:1, b:0),
% 9.47/9.83 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1' [169, 5] (w:1
% 9.47/9.83 , o:190, a:1, s:1, b:0),
% 9.47/9.83 'class_Ring__and__Field_Ono__zero__divisors' [170, 1] (w:1, o:94, a:1
% 9.47/9.83 , s:1, b:0),
% 9.47/9.83 'c_Option_Othe' [172, 2] (w:1, o:161, a:1, s:1, b:0),
% 9.47/9.83 'v_wt' [173, 1] (w:1, o:121, a:1, s:1, b:0),
% 9.47/9.83 'v_U' [174, 0] (w:1, o:57, a:1, s:1, b:0),
% 9.47/9.83 'class_Nat_Osemiring__char__0' [177, 1] (w:1, o:75, a:1, s:1, b:0),
% 9.47/9.83 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1' [178, 5
% 9.47/9.83 ] (w:1, o:191, a:1, s:1, b:0),
% 9.47/9.83 'class_Ring__and__Field_Oring__1' [179, 1] (w:1, o:98, a:1, s:1, b:0)
% 9.47/9.83 ,
% 9.47/9.83 'v_P' [180, 0] (w:1, o:59, a:1, s:1, b:0),
% 9.47/9.83 'v_mgt__call' [181, 0] (w:1, o:50, a:1, s:1, b:0),
% 9.47/9.83 'v_mgt' [182, 1] (w:1, o:122, a:1, s:1, b:0),
% 9.47/9.83 'v_sko__local__Xassms__3__1' [185, 4] (w:1, o:182, a:1, s:1, b:0),
% 9.47/9.83 'class_Orderings_Obot' [186, 1] (w:1, o:123, a:1, s:1, b:0),
% 9.47/9.83 'v_uG' [188, 0] (w:1, o:62, a:1, s:1, b:0),
% 9.47/9.83 'v_xa' [189, 0] (w:1, o:63, a:1, s:1, b:0),
% 9.47/9.83 'c_fequal' [192, 3] (w:1, o:174, a:1, s:1, b:0).
% 9.47/9.83
% 9.47/9.83
% 9.47/9.83 Starting Search:
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83
% 9.47/9.83 Intermediate Status:
% 9.47/9.83 Generated: 5617
% 9.47/9.83 Kept: 2161
% 9.47/9.83 Inuse: 136
% 9.47/9.83 Deleted: 0
% 9.47/9.83 Deletedinuse: 0
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83
% 9.47/9.83 Intermediate Status:
% 9.47/9.83 Generated: 12675
% 9.47/9.83 Kept: 4203
% 9.47/9.83 Inuse: 181
% 9.47/9.83 Deleted: 0
% 9.47/9.83 Deletedinuse: 0
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83
% 9.47/9.83 Intermediate Status:
% 9.47/9.83 Generated: 20201
% 9.47/9.83 Kept: 6579
% 9.47/9.83 Inuse: 284
% 9.47/9.83 Deleted: 2
% 9.47/9.83 Deletedinuse: 0
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83
% 9.47/9.83 Intermediate Status:
% 9.47/9.83 Generated: 29821
% 9.47/9.83 Kept: 8584
% 9.47/9.83 Inuse: 391
% 9.47/9.83 Deleted: 4
% 9.47/9.83 Deletedinuse: 0
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83
% 9.47/9.83 Intermediate Status:
% 9.47/9.83 Generated: 39293
% 9.47/9.83 Kept: 10606
% 9.47/9.83 Inuse: 455
% 9.47/9.83 Deleted: 6
% 9.47/9.83 Deletedinuse: 0
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83 Resimplifying inuse:
% 9.47/9.83 Done
% 9.47/9.83
% 9.47/9.83
% 9.47/9.83 Intermediate Status:
% 9.47/9.83 Generated: 47404
% 9.47/9.83 Kept: 12612
% 9.47/9.83 Inuse: 496
% 9.47/9.83 Deleted: 6
% 37.26/37.65 Deletedinuse: 0
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65
% 37.26/37.65 Intermediate Status:
% 37.26/37.65 Generated: 55191
% 37.26/37.65 Kept: 14794
% 37.26/37.65 Inuse: 530
% 37.26/37.65 Deleted: 6
% 37.26/37.65 Deletedinuse: 0
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65
% 37.26/37.65 Intermediate Status:
% 37.26/37.65 Generated: 65781
% 37.26/37.65 Kept: 16941
% 37.26/37.65 Inuse: 575
% 37.26/37.65 Deleted: 6
% 37.26/37.65 Deletedinuse: 0
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65
% 37.26/37.65 Intermediate Status:
% 37.26/37.65 Generated: 78956
% 37.26/37.65 Kept: 19065
% 37.26/37.65 Inuse: 629
% 37.26/37.65 Deleted: 7
% 37.26/37.65 Deletedinuse: 0
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65 Resimplifying clauses:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65
% 37.26/37.65 Intermediate Status:
% 37.26/37.65 Generated: 87490
% 37.26/37.65 Kept: 21091
% 37.26/37.65 Inuse: 669
% 37.26/37.65 Deleted: 214
% 37.26/37.65 Deletedinuse: 0
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65
% 37.26/37.65 Intermediate Status:
% 37.26/37.65 Generated: 96255
% 37.26/37.65 Kept: 23105
% 37.26/37.65 Inuse: 705
% 37.26/37.65 Deleted: 214
% 37.26/37.65 Deletedinuse: 0
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.65 Done
% 37.26/37.65
% 37.26/37.65
% 37.26/37.65 Intermediate Status:
% 37.26/37.65 Generated: 102920
% 37.26/37.65 Kept: 25222
% 37.26/37.65 Inuse: 739
% 37.26/37.65 Deleted: 214
% 37.26/37.65 Deletedinuse: 0
% 37.26/37.65
% 37.26/37.65 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 108585
% 37.26/37.66 Kept: 27236
% 37.26/37.66 Inuse: 752
% 37.26/37.66 Deleted: 214
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 117790
% 37.26/37.66 Kept: 29449
% 37.26/37.66 Inuse: 794
% 37.26/37.66 Deleted: 214
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 124667
% 37.26/37.66 Kept: 31505
% 37.26/37.66 Inuse: 829
% 37.26/37.66 Deleted: 214
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 134523
% 37.26/37.66 Kept: 34314
% 37.26/37.66 Inuse: 849
% 37.26/37.66 Deleted: 214
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 142164
% 37.26/37.66 Kept: 36439
% 37.26/37.66 Inuse: 854
% 37.26/37.66 Deleted: 214
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 148904
% 37.26/37.66 Kept: 38494
% 37.26/37.66 Inuse: 894
% 37.26/37.66 Deleted: 214
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying clauses:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 156564
% 37.26/37.66 Kept: 40657
% 37.26/37.66 Inuse: 934
% 37.26/37.66 Deleted: 358
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 164182
% 37.26/37.66 Kept: 42751
% 37.26/37.66 Inuse: 974
% 37.26/37.66 Deleted: 358
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 172084
% 37.26/37.66 Kept: 45096
% 37.26/37.66 Inuse: 1014
% 37.26/37.66 Deleted: 358
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 182525
% 37.26/37.66 Kept: 48158
% 37.26/37.66 Inuse: 1024
% 37.26/37.66 Deleted: 358
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 190852
% 37.26/37.66 Kept: 50862
% 37.26/37.66 Inuse: 1034
% 37.26/37.66 Deleted: 358
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 207618
% 37.26/37.66 Kept: 55614
% 37.26/37.66 Inuse: 1081
% 37.26/37.66 Deleted: 358
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 221411
% 37.26/37.66 Kept: 57890
% 37.26/37.66 Inuse: 1099
% 37.26/37.66 Deleted: 358
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 242891
% 37.26/37.66 Kept: 60853
% 37.26/37.66 Inuse: 1109
% 37.26/37.66 Deleted: 358
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying clauses:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 253890
% 37.26/37.66 Kept: 63460
% 37.26/37.66 Inuse: 1134
% 37.26/37.66 Deleted: 485
% 37.26/37.66 Deletedinuse: 0
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 260289
% 37.26/37.66 Kept: 65593
% 37.26/37.66 Inuse: 1156
% 37.26/37.66 Deleted: 487
% 37.26/37.66 Deletedinuse: 2
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 269102
% 37.26/37.66 Kept: 68569
% 37.26/37.66 Inuse: 1174
% 37.26/37.66 Deleted: 492
% 37.26/37.66 Deletedinuse: 7
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 277636
% 37.26/37.66 Kept: 70569
% 37.26/37.66 Inuse: 1205
% 37.26/37.66 Deleted: 494
% 37.26/37.66 Deletedinuse: 9
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66 Resimplifying inuse:
% 37.26/37.66 Done
% 37.26/37.66
% 37.26/37.66
% 37.26/37.66 Intermediate Status:
% 37.26/37.66 Generated: 285023
% 37.26/37.66 Kept: 72652
% 37.26/37.66 Inuse: 1224
% 86.15/86.51 Deleted: 494
% 86.15/86.51 Deletedinuse: 9
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 292331
% 86.15/86.51 Kept: 74652
% 86.15/86.51 Inuse: 1245
% 86.15/86.51 Deleted: 494
% 86.15/86.51 Deletedinuse: 9
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 301064
% 86.15/86.51 Kept: 76768
% 86.15/86.51 Inuse: 1269
% 86.15/86.51 Deleted: 494
% 86.15/86.51 Deletedinuse: 9
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 319261
% 86.15/86.51 Kept: 81669
% 86.15/86.51 Inuse: 1289
% 86.15/86.51 Deleted: 494
% 86.15/86.51 Deletedinuse: 9
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying clauses:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 327881
% 86.15/86.51 Kept: 83672
% 86.15/86.51 Inuse: 1316
% 86.15/86.51 Deleted: 976
% 86.15/86.51 Deletedinuse: 11
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 337855
% 86.15/86.51 Kept: 85890
% 86.15/86.51 Inuse: 1349
% 86.15/86.51 Deleted: 976
% 86.15/86.51 Deletedinuse: 11
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 347846
% 86.15/86.51 Kept: 88117
% 86.15/86.51 Inuse: 1383
% 86.15/86.51 Deleted: 977
% 86.15/86.51 Deletedinuse: 11
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 355698
% 86.15/86.51 Kept: 90169
% 86.15/86.51 Inuse: 1413
% 86.15/86.51 Deleted: 977
% 86.15/86.51 Deletedinuse: 11
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 364213
% 86.15/86.51 Kept: 92299
% 86.15/86.51 Inuse: 1438
% 86.15/86.51 Deleted: 978
% 86.15/86.51 Deletedinuse: 12
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 375831
% 86.15/86.51 Kept: 94342
% 86.15/86.51 Inuse: 1471
% 86.15/86.51 Deleted: 1012
% 86.15/86.51 Deletedinuse: 14
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 388312
% 86.15/86.51 Kept: 98361
% 86.15/86.51 Inuse: 1473
% 86.15/86.51 Deleted: 1020
% 86.15/86.51 Deletedinuse: 14
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 397636
% 86.15/86.51 Kept: 100490
% 86.15/86.51 Inuse: 1503
% 86.15/86.51 Deleted: 1030
% 86.15/86.51 Deletedinuse: 14
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 414789
% 86.15/86.51 Kept: 104777
% 86.15/86.51 Inuse: 1513
% 86.15/86.51 Deleted: 1030
% 86.15/86.51 Deletedinuse: 14
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying clauses:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 424912
% 86.15/86.51 Kept: 106787
% 86.15/86.51 Inuse: 1531
% 86.15/86.51 Deleted: 1571
% 86.15/86.51 Deletedinuse: 14
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 435495
% 86.15/86.51 Kept: 108803
% 86.15/86.51 Inuse: 1555
% 86.15/86.51 Deleted: 1571
% 86.15/86.51 Deletedinuse: 14
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 445864
% 86.15/86.51 Kept: 110905
% 86.15/86.51 Inuse: 1578
% 86.15/86.51 Deleted: 1571
% 86.15/86.51 Deletedinuse: 14
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 459149
% 86.15/86.51 Kept: 114000
% 86.15/86.51 Inuse: 1595
% 86.15/86.51 Deleted: 1571
% 86.15/86.51 Deletedinuse: 14
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 474748
% 86.15/86.51 Kept: 117982
% 86.15/86.51 Inuse: 1598
% 86.15/86.51 Deleted: 1571
% 86.15/86.51 Deletedinuse: 14
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 483600
% 86.15/86.51 Kept: 120013
% 86.15/86.51 Inuse: 1621
% 86.15/86.51 Deleted: 1572
% 86.15/86.51 Deletedinuse: 15
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 493686
% 86.15/86.51 Kept: 122746
% 86.15/86.51 Inuse: 1628
% 86.15/86.51 Deleted: 1572
% 86.15/86.51 Deletedinuse: 15
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 505350
% 86.15/86.51 Kept: 125549
% 86.15/86.51 Inuse: 1653
% 86.15/86.51 Deleted: 1572
% 86.15/86.51 Deletedinuse: 15
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying clauses:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 521248
% 86.15/86.51 Kept: 129778
% 86.15/86.51 Inuse: 1658
% 86.15/86.51 Deleted: 1693
% 86.15/86.51 Deletedinuse: 16
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 557587
% 86.15/86.51 Kept: 137443
% 86.15/86.51 Inuse: 1688
% 86.15/86.51 Deleted: 1693
% 86.15/86.51 Deletedinuse: 16
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 570144
% 86.15/86.51 Kept: 139465
% 86.15/86.51 Inuse: 1711
% 86.15/86.51 Deleted: 1693
% 86.15/86.51 Deletedinuse: 16
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 86.15/86.51
% 86.15/86.51
% 86.15/86.51 Intermediate Status:
% 86.15/86.51 Generated: 580572
% 86.15/86.51 Kept: 141763
% 86.15/86.51 Inuse: 1733
% 86.15/86.51 Deleted: 1693
% 86.15/86.51 Deletedinuse: 16
% 86.15/86.51
% 86.15/86.51 Resimplifying inuse:
% 86.15/86.51 Done
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20
% 183.72/184.20 Intermediate Status:
% 183.72/184.20 Generated: 590071
% 183.72/184.20 Kept: 144241
% 183.72/184.20 Inuse: 1753
% 183.72/184.20 Deleted: 1693
% 183.72/184.20 Deletedinuse: 16
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20 Resimplifying clauses:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20
% 183.72/184.20 Intermediate Status:
% 183.72/184.20 Generated: 600076
% 183.72/184.20 Kept: 146245
% 183.72/184.20 Inuse: 1772
% 183.72/184.20 Deleted: 1776
% 183.72/184.20 Deletedinuse: 16
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20
% 183.72/184.20 Intermediate Status:
% 183.72/184.20 Generated: 609273
% 183.72/184.20 Kept: 148436
% 183.72/184.20 Inuse: 1788
% 183.72/184.20 Deleted: 1776
% 183.72/184.20 Deletedinuse: 16
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20
% 183.72/184.20 Intermediate Status:
% 183.72/184.20 Generated: 617845
% 183.72/184.20 Kept: 150533
% 183.72/184.20 Inuse: 1803
% 183.72/184.20 Deleted: 1776
% 183.72/184.20 Deletedinuse: 16
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20
% 183.72/184.20 Intermediate Status:
% 183.72/184.20 Generated: 626644
% 183.72/184.20 Kept: 152632
% 183.72/184.20 Inuse: 1818
% 183.72/184.20 Deleted: 1776
% 183.72/184.20 Deletedinuse: 16
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20
% 183.72/184.20 Intermediate Status:
% 183.72/184.20 Generated: 643229
% 183.72/184.20 Kept: 156144
% 183.72/184.20 Inuse: 1828
% 183.72/184.20 Deleted: 1777
% 183.72/184.20 Deletedinuse: 17
% 183.72/184.20
% 183.72/184.20 Resimplifying inuse:
% 183.72/184.20 Done
% 183.72/184.20
% 183.72/184.20
% 183.72/184.20 Intermediate Status:
% 183.81/184.20 Generated: 657441
% 183.81/184.20 Kept: 159011
% 183.81/184.20 Inuse: 1833
% 183.81/184.20 Deleted: 1777
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 665506
% 183.81/184.20 Kept: 161029
% 183.81/184.20 Inuse: 1854
% 183.81/184.20 Deleted: 1777
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 674506
% 183.81/184.20 Kept: 163661
% 183.81/184.20 Inuse: 1873
% 183.81/184.20 Deleted: 1777
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying clauses:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 683114
% 183.81/184.20 Kept: 165965
% 183.81/184.20 Inuse: 1893
% 183.81/184.20 Deleted: 2081
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 692357
% 183.81/184.20 Kept: 168319
% 183.81/184.20 Inuse: 1913
% 183.81/184.20 Deleted: 2081
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 700787
% 183.81/184.20 Kept: 170552
% 183.81/184.20 Inuse: 1933
% 183.81/184.20 Deleted: 2081
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 709589
% 183.81/184.20 Kept: 172865
% 183.81/184.20 Inuse: 1953
% 183.81/184.20 Deleted: 2081
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 737834
% 183.81/184.20 Kept: 176485
% 183.81/184.20 Inuse: 1968
% 183.81/184.20 Deleted: 2081
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 747423
% 183.81/184.20 Kept: 178791
% 183.81/184.20 Inuse: 1988
% 183.81/184.20 Deleted: 2081
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 759131
% 183.81/184.20 Kept: 181172
% 183.81/184.20 Inuse: 2013
% 183.81/184.20 Deleted: 2081
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 775776
% 183.81/184.20 Kept: 184941
% 183.81/184.20 Inuse: 2028
% 183.81/184.20 Deleted: 2081
% 183.81/184.20 Deletedinuse: 17
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying clauses:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 787320
% 183.81/184.20 Kept: 186951
% 183.81/184.20 Inuse: 2047
% 183.81/184.20 Deleted: 2633
% 183.81/184.20 Deletedinuse: 19
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 797253
% 183.81/184.20 Kept: 188985
% 183.81/184.20 Inuse: 2063
% 183.81/184.20 Deleted: 2633
% 183.81/184.20 Deletedinuse: 19
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 809603
% 183.81/184.20 Kept: 190997
% 183.81/184.20 Inuse: 2084
% 183.81/184.20 Deleted: 2633
% 183.81/184.20 Deletedinuse: 19
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 831940
% 183.81/184.20 Kept: 193851
% 183.81/184.20 Inuse: 2088
% 183.81/184.20 Deleted: 2633
% 183.81/184.20 Deletedinuse: 19
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 842905
% 183.81/184.20 Kept: 196134
% 183.81/184.20 Inuse: 2113
% 183.81/184.20 Deleted: 2633
% 183.81/184.20 Deletedinuse: 19
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 851644
% 183.81/184.20 Kept: 198251
% 183.81/184.20 Inuse: 2137
% 183.81/184.20 Deleted: 2634
% 183.81/184.20 Deletedinuse: 19
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:
% 183.81/184.20 Done
% 183.81/184.20
% 183.81/184.20
% 183.81/184.20 Intermediate Status:
% 183.81/184.20 Generated: 862918
% 183.81/184.20 Kept: 200850
% 183.81/184.20 Inuse: 2157
% 183.81/184.20 Deleted: 2634
% 183.81/184.20 Deletedinuse: 19
% 183.81/184.20
% 183.81/184.20 Resimplifying inuse:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------