TSTP Solution File: SWV859-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV859-1 : 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 16:28:53 EDT 2022
% Result : Timeout 300.02s 300.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV859-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 14:24:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.27 *** allocated 10000 integers for termspace/termends
% 0.87/1.27 *** allocated 10000 integers for clauses
% 0.87/1.27 *** allocated 10000 integers for justifications
% 0.87/1.27 *** allocated 15000 integers for termspace/termends
% 0.87/1.27 Bliksem 1.12
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Automatic Strategy Selection
% 0.87/1.27
% 0.87/1.27 Clauses:
% 0.87/1.27 [
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.87/1.27 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.87/1.27 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 0.87/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.87/1.27 , Y ) ],
% 0.87/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.87/1.27 , Y ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.87/1.27 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.87/1.27 'c_Set_Oinsert'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X
% 0.87/1.27 ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X ) ),
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ),
% 0.87/1.27 =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.27 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.87/1.27 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.87/1.27 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.87/1.27 'c_Set_Oinsert'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X
% 0.87/1.27 ) ) ), hBOOL( 'c_in'( Y, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 0.87/1.27 , =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Set_Oinsert'(
% 0.87/1.27 Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X ) ) ),
% 0.87/1.27 hBOOL( 'c_in'( Y, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.87/1.27 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.87/1.27 , U ) ) ],
% 0.87/1.27 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.87/1.27 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.87/1.27 , 'tc_bool' ) ), Z ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.87/1.27 , 'tc_bool' ) ), T ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.87/1.27 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ), =( 'c_Finite__Set_Ofold1'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X ) ),
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X ) ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.87/1.27 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ), =( 'c_Finite__Set_Ofold1'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X ) ),
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.87/1.27 , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.27 X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y,
% 0.87/1.27 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.87/1.27 , T, X ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.87/1.27 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.87/1.27 'c_Set_Oinsert'( Y, Z, T ), T, U ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.87/1.27 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.87/1.27 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 0.87/1.27 'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, W
% 0.87/1.27 , T, U ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.87/1.27 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.87/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.87/1.27 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.87/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.87/1.27 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.87/1.27 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.87/1.27 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.87/1.27 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.87/1.27 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.27 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.27 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.87/1.27 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.27 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.27 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.87/1.27 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.87/1.27 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), Y ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), Y ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.87/1.27 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.87/1.27 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.87/1.27 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.87/1.27 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.87/1.27 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.87/1.27 ), =( Y, W ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.27 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.27 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.87/1.27 ) ), T ) ), U ), W, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ), W, X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.87/1.27 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 0.87/1.27 ) ), U ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), T ), U ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ), X ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.87/1.27 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X
% 0.87/1.27 ) ), Z ) ), T ), W ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X
% 0.87/1.27 ) ), Z ) ), W ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( T, Y, X
% 0.87/1.27 ) ), Z ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ) ],
% 0.87/1.27 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.87/1.27 ), Z ), Y ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.87/1.27 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.87/1.27 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.87/1.27 , X, U, Y, W ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 X ), Y ), Z ) ), T ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 X ), Y ), Z ) ), T ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.87/1.27 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 0.87/1.27 ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.87/1.27 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.87/1.27 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.87/1.27 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.87/1.27 Y, X ) ],
% 0.87/1.27 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.87/1.27 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.87/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.87/1.27 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.87/1.27 , Z ) ) ],
% 0.87/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z, T ) ) ],
% 0.87/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z, T ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.27 , Y ), Z ), Z, X ), Y ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.27 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.87/1.27 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.87/1.27 U, W ) ) ],
% 0.87/1.27 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.87/1.27 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.87/1.27 =( Y, Z ) ],
% 0.87/1.27 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.87/1.27 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.87/1.27 =( Y, Z ) ],
% 0.87/1.27 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.87/1.27 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.87/1.27 , U ) ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), X ) ],
% 0.87/1.27 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), Y, Z ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.87/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.87/1.27 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.87/1.27 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.27 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.27 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.87/1.27 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.87/1.27 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.87/1.27 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.87/1.27 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.87/1.27 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.87/1.27 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.87/1.27 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y,
% 0.87/1.27 'c_Set_Oinsert'( Z, T, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.87/1.27 , Y ), U ), X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Z, T, U
% 0.87/1.27 , X, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.87/1.27 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.87/1.27 'c_Set_Oinsert'( Z, T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.87/1.27 Y ), U ), X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X
% 0.87/1.27 , X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.27 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.87/1.27 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.27 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'(
% 0.87/1.27 hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.27 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~(
% 0.87/1.27 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.87/1.27 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.87/1.27 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 0.87/1.27 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( Y, W, T ) ) ) ],
% 0.87/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.87/1.27 'tc_fun'( U, 'tc_bool' ) ), U, X ) ), 'c_Set_Oimage'( Y,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.87/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_Fun_Oinj__on'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T,
% 0.87/1.27 'tc_fun'( U, 'tc_bool' ) ), U, X ) ) ],
% 0.87/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.87/1.27 , 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U,
% 0.87/1.27 'tc_bool' ) ), U, X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, T, U, X ) ), ~(
% 0.87/1.27 'c_Fun_Oinj__on'( Y, Z, U, X ) ), 'c_Fun_Oinj__on'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( U,
% 0.87/1.27 'tc_bool' ) ), U, X ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.87/1.27 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.87/1.27 'c_Set_Oinsert'( Z, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), X ), U, X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( Y, T, X ) ) ), ~( 'c_Finite__Set_Ofold__graph'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.87/1.27 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y,
% 0.87/1.27 'c_Set_Oinsert'( Z, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), X ), U, X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( Y, T, X ) ) ), ~( 'c_Finite__Set_Ofold__graph'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X ), Z, T, U, X, X ) ) ],
% 0.87/1.27 [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), hAPP(
% 0.87/1.27 hAPP( X, Y ), 'c_Finite__Set_Ofold1'( X, Z, T ) ) ), hBOOL( 'c_in'( Y, Z
% 0.87/1.27 , T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), =( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.87/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 0.87/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ), ~(
% 0.87/1.27 'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =(
% 0.87/1.27 'c_Finite__Set_Ofold1'( T, 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 Y, Z, 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( hAPP( T,
% 0.87/1.27 'c_Finite__Set_Ofold1'( T, Y, X ) ), 'c_Finite__Set_Ofold1'( T, Z, X ) )
% 0.87/1.27 ) ],
% 0.87/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.27 , X ), T ), Y ) ) ) ],
% 0.87/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.27 , T ), X ), Y ) ) ) ],
% 0.87/1.27 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.27 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.87/1.27 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.27 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.87/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.27 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.27 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.87/1.27 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.87/1.27 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.27 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.27 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.87/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.27 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.27 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.87/1.27 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.87/1.27 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.87/1.27 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.87/1.27 , 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.87/1.27 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.87/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), T ), Y ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ), hAPP(
% 0.87/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), X ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.87/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 , Z ), Y ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.87/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.87/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.87/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.27 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.27 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.27 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.87/1.27 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.27 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.87/1.27 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.27 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.27 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.27 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.87/1.27 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.87/1.27 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.87/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.87/1.27 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.27 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.87/1.27 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 0.87/1.27 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.27 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.27 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.87/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), X ) ],
% 0.87/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.27 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ) ) ],
% 0.87/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T
% 0.87/1.27 , 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ), T ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.87/1.27 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.87/1.27 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.87/1.27 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.87/1.27 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.87/1.27 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.87/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.87/1.27 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.87/1.27 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.87/1.27 [ 'c_lessequals'( hAPP( X, Y ),
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.87/1.27 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.27 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.87/1.27 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.87/1.27 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.87/1.27 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.87/1.27 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.87/1.27 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.87/1.27 ],
% 0.87/1.27 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.87/1.27 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.87/1.27 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.87/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.87/1.27 , T ) ],
% 0.87/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.87/1.27 , Z ) ],
% 0.87/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.27 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.87/1.27 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.27 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.87/1.27 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.87/1.27 U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.28 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 0.87/1.28 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.87/1.28 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ), U, Y ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.28 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.87/1.28 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 Z, Y ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 Z, Y ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.28 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.28 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.28 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, 'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( Y
% 0.87/1.28 , X, Z ), Z ) ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 , T ), Y ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 , Y ), T ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.28 , T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.28 , T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X,
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.28 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X,
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.28 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.87/1.28 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.87/1.28 , V3, V4, U ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.87/1.28 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.87/1.28 , V3, V4, U ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.87/1.28 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.87/1.28 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.87/1.28 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.87/1.28 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.87/1.28 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.87/1.28 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.87/1.28 'c_in'( X, T, Y ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 0.87/1.28 , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'(
% 0.87/1.28 X, Y, Z, U, T, T ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.87/1.28 hAPP( X, Y ), W ), U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~(
% 0.87/1.28 'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U ) ), ~(
% 0.87/1.28 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.87/1.28 U, 'tc_bool' ) ), U ), W, U, U ), hBOOL( 'c_in'( Z, T, U ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( Y, T, U ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Z, T, W, U, U
% 0.87/1.28 ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.87/1.28 , V2, Z, Y ) ) ],
% 0.87/1.28 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.87/1.28 , Z, V2, Y ) ) ],
% 0.87/1.28 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.28 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.28 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.28 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.87/1.28 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.28 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.87/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28 ) ), Z, X ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.28 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), X ), X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.28 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), X ), X ), X ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.87/1.28 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.87/1.28 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.87/1.28 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.87/1.28 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.87/1.28 V2, V3, V4, T ) ) ],
% 0.87/1.28 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.87/1.28 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.87/1.28 , U, V3, V4, T ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.87/1.28 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ), X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.87/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.87/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.87/1.28 ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X,
% 0.87/1.28 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 0.87/1.28 W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.87/1.28 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.87/1.28 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.87/1.28 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.28 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.28 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.87/1.28 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.87/1.28 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.87/1.28 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.87/1.28 , U ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.87/1.28 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.87/1.28 , U ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.87/1.28 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.28 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.28 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), T ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP(
% 0.87/1.28 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), X ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), Y ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), Y ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.87/1.28 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), X ), Y ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.87/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.87/1.28 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.87/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.87/1.28 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.28 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.87/1.28 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.87/1.28 Z, Y, X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.28 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.28 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.87/1.28 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.87/1.28 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.87/1.28 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.28 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.28 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.87/1.28 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.87/1.28 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), hAPP(
% 0.87/1.28 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP(
% 0.87/1.28 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T,
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.87/1.28 Y, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.28 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.87/1.28 Y, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 T, X ), Z, X ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.87/1.28 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.87/1.28 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.87/1.28 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.87/1.28 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.28 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_bool' ) )
% 0.87/1.28 , 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.28 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( X, Z, Y ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Y, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.87/1.28 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.28 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.87/1.28 X, T, U ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.87/1.28 hAPP( X, U ) ) ) ) ],
% 0.87/1.28 [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.87/1.28 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.28 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.87/1.28 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.87/1.28 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.87/1.28 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.87/1.28 'tc_bool' ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.28 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.87/1.28 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.87/1.28 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.87/1.28 Y, Z, X ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.28 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.28 [ =( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_ATP__Linkup_Osko__Set__Xset__insert__1__1'( X, Y, Z ), Z ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( Y, X, Z ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.87/1.28 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.87/1.28 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.87/1.28 'c_in'( Y, X, T ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.87/1.28 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.87/1.28 'c_in'( Y, X, T ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.28 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.87/1.28 T, X, Z ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.87/1.28 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.87/1.28 U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.87/1.28 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.28 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ],
% 0.87/1.28 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.87/1.28 ) ],
% 0.87/1.28 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.28 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.87/1.28 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.87/1.28 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.87/1.28 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.87/1.28 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.87/1.28 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.87/1.28 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z,
% 0.87/1.28 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.87/1.28 ],
% 0.87/1.28 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ),
% 0.87/1.28 ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.87/1.28 [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.28 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.87/1.28 Y, Z ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.28 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.87/1.28 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.87/1.28 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , hBOOL( hAPP( hAPP( U, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y,
% 0.87/1.28 V0, T, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U ) ) ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.87/1.28 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.87/1.28 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , hBOOL( hAPP( hAPP( Y,
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.28 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.28 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.87/1.28 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , hBOOL( hAPP( hAPP( Y,
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) )
% 0.87/1.28 , 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T
% 0.87/1.28 , W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) )
% 0.87/1.28 , 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.87/1.28 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , ~( hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U )
% 0.87/1.28 ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U
% 0.87/1.28 , T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ),
% 0.87/1.28 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U )
% 0.87/1.28 ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.28 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z
% 0.87/1.28 ) ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.87/1.28 ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple__valid'( W,
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, X, 't_a' ), 't_a' ) ) ],
% 0.87/1.28 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( 'c_in'(
% 0.87/1.28 Y, Z, 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ) ), hBOOL( 'c_in'(
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), Z,
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.28 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.87/1.28 'c_in'( X, Y, Z ) ) ) ],
% 0.87/1.28 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.87/1.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.87/1.28 T ) ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~(
% 0.87/1.28 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.28 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.87/1.28 , Z ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSemi'( Z, T ), U, W
% 0.87/1.28 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, U, W ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, V0, W ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.87/1.28 X, Z, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.87/1.28 X, Z, T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.87/1.28 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.87/1.28 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ), Y ) ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.87/1.28 X, T ), Y ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.28 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.87/1.28 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.87/1.28 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_n',
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', 'v_Q', 't_a' ), 't_a'
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_n', X, 't_a' ), ~( hBOOL(
% 0.87/1.28 'c_in'( X, 'v_Ga', 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_Z'( X, Y ), 'v_c', 'v_s'( X, Y )
% 0.87/1.28 , 't_a' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'v_P', X ), Y ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'v_Q', X ), Y ) ), hBOOL( hAPP( hAPP( 'v_Z'( X, Z )
% 0.87/1.28 , 'v_sb'( X, Z, Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'v_Q', X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'v_s'( X,
% 0.87/1.28 Z ), 'v_sb'( X, Z, Y ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), Z )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( 'c_in'(
% 0.87/1.28 Y, 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_Z'( Z, T ),
% 0.87/1.28 'v_c', 'v_s'( Z, T ), 't_a' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ) ) ) ), hBOOL( 'c_in'( 'v_sa'( Z, T, X ), 'v_Ga',
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), ~( hBOOL( hAPP( hAPP( 'v_P',
% 0.87/1.28 Z ), T ) ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( 'c_in'(
% 0.87/1.28 Y, 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_Z'( Z, T ),
% 0.87/1.28 'v_c', 'v_s'( Z, T ), 't_a' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 't_a' ) ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_sa'( Z, T, X
% 0.87/1.28 ), 't_a' ) ), ~( hBOOL( hAPP( hAPP( 'v_P', Z ), T ) ) ) ],
% 0.87/1.28 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.28 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.87/1.28 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.28 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.28 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.28 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.87/1.28 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.28 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.87/1.28 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.28 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.87/1.28 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.28 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.28 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.28 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.28 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.28 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.28 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.87/1.28 Y ) ) ],
% 0.87/1.28 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.87/1.28 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.87/1.28 ] .
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 percentage equality = 0.295837, percentage horn = 0.877228
% 0.87/1.28 This is a problem with some equality
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Options Used:
% 0.87/1.28
% 0.87/1.28 useres = 1
% 0.87/1.28 useparamod = 1
% 0.87/1.28 useeqrefl = 1
% 0.87/1.28 useeqfact = 1
% 0.87/1.28 usefactor = 1
% 0.87/1.28 usesimpsplitting = 0
% 0.87/1.28 usesimpdemod = 5
% 0.87/1.28 usesimpres = 3
% 0.87/1.28
% 0.87/1.28 resimpinuse = 1000
% 0.87/1.28 resimpclauses = 20000
% 0.87/1.28 substype = eqrewr
% 0.87/1.28 backwardsubs = 1
% 0.87/1.28 selectoldest = 5
% 0.87/1.28
% 0.87/1.28 litorderings [0] = split
% 0.87/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.28
% 0.87/1.28 termordering = kbo
% 0.87/1.28
% 0.87/1.28 litapriori = 0
% 0.87/1.28 termapriori = 1
% 0.87/1.28 litaposteriori = 0
% 0.87/1.28 termaposteriori = 0
% 0.87/1.28 demodaposteriori = 0
% 0.87/1.28 ordereqreflfact = 0
% 0.87/1.28
% 0.87/1.28 litselect = negord
% 0.87/1.28
% 0.87/1.28 maxweight = 15
% 0.87/1.28 maxdepth = 30000
% 0.87/1.28 maxlength = 115
% 0.87/1.28 maxnrvars = 195
% 0.87/1.28 excuselevel = 1
% 0.87/1.28 increasemaxweight = 1
% 0.87/1.28
% 0.87/1.28 maxselected = 10000000
% 0.87/1.28 maxnrclauses = 10000000
% 0.87/1.28
% 0.87/1.28 showgenerated = 0
% 0.87/1.28 showkept = 0
% 0.87/1.28 showselected = 0
% 0.87/1.28 showdeleted = 0
% 0.87/1.28 showresimp = 1
% 0.87/1.28 showstatus = 2000
% 0.87/1.28
% 0.87/1.28 prologoutput = 1
% 0.87/1.28 nrgoals = 5000000
% 0.87/1.28 totalproof = 1
% 0.87/1.28
% 0.87/1.28 Symbols occurring in the translation:
% 0.87/1.28
% 0.87/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.28 . [1, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.87/1.28 ! [4, 1] (w:0, o:100, a:1, s:1, b:0),
% 0.87/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.37 'c_Finite__Set_Ofinite' [41, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.91/1.37 'tc_bool' [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.91/1.37 'tc_fun' [44, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.91/1.37 'c_lessequals' [45, 3] (w:1, o:191, a:1, s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Opordered__ab__group__add' [46, 1] (w:1, o:105
% 0.91/1.37 , a:1, s:1, b:0),
% 0.91/1.37 'c_HOL_Oplus__class_Oplus' [48, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.91/1.37 hAPP [50, 2] (w:1, o:172, a:1, s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Oab__semigroup__idem__mult' [53, 1] (w:1, o:107
% 0.91/1.37 , a:1, s:1, b:0),
% 0.91/1.37 'c_HOL_Otimes__class_Otimes' [54, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.91/1.37 'c_Fun_Ofun__upd' [59, 5] (w:1, o:220, a:1, s:1, b:0),
% 0.91/1.37 'c_Fun_Oinj__on' [61, 4] (w:1, o:205, a:1, s:1, b:0),
% 0.91/1.37 'c_Set_Oimage' [62, 4] (w:1, o:206, a:1, s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Oab__semigroup__mult' [63, 1] (w:1, o:109, a:1
% 0.91/1.37 , s:1, b:0),
% 0.91/1.37 'class_Ring__and__Field_Ocomm__semiring__1' [64, 1] (w:1, o:110, a:1
% 0.91/1.37 , s:1, b:0),
% 0.91/1.37 'class_Ring__and__Field_Ocomm__semiring' [69, 1] (w:1, o:111, a:1, s:
% 0.91/1.37 1, b:0),
% 0.91/1.37 'c_Set_Oinsert' [70, 3] (w:1, o:192, a:1, s:1, b:0),
% 0.91/1.37 'c_Finite__Set_Ofold1' [71, 3] (w:1, o:193, a:1, s:1, b:0),
% 0.91/1.37 'c_Orderings_Obot__class_Obot' [72, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.91/1.37 'c_Lattices_Oupper__semilattice__class_Osup' [73, 3] (w:1, o:194, a:1
% 0.91/1.37 , s:1, b:0),
% 0.91/1.37 'c_in' [74, 3] (w:1, o:195, a:1, s:1, b:0),
% 0.91/1.37 hBOOL [75, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.91/1.37 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [76, 4] (w:1
% 0.91/1.37 , o:207, a:1, s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Olordered__ab__group__add' [77, 1] (w:1, o:114
% 0.91/1.37 , a:1, s:1, b:0),
% 0.91/1.37 'c_Lattices_Olower__semilattice__class_Oinf' [78, 1] (w:1, o:115, a:1
% 0.91/1.37 , s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Ocomm__monoid__add' [79, 1] (w:1, o:116, a:1, s:1
% 0.91/1.37 , b:0),
% 0.91/1.37 'c_HOL_Ominus__class_Ominus' [80, 3] (w:1, o:196, a:1, s:1, b:0),
% 0.91/1.37 'class_Lattices_Olower__semilattice' [81, 1] (w:1, o:117, a:1, s:1
% 0.91/1.37 , b:0),
% 0.91/1.37 'class_Orderings_Olinorder' [82, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.91/1.37 'c_Finite__Set_Olinorder__class_OMax' [84, 2] (w:1, o:173, a:1, s:1
% 0.91/1.37 , b:0),
% 0.91/1.37 'c_Finite__Set_Olinorder__class_OMin' [86, 2] (w:1, o:174, a:1, s:1
% 0.91/1.37 , b:0),
% 0.91/1.37 'class_OrderedGroup_Opordered__ab__semigroup__add' [89, 1] (w:1, o:
% 0.91/1.37 119, a:1, s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [90, 1]
% 0.91/1.37 (w:1, o:120, a:1, s:1, b:0),
% 0.91/1.37 'class_Ring__and__Field_Oidom' [94, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.91/1.37 'class_Int_Onumber__ring' [95, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.91/1.37 'class_Ring__and__Field_Opordered__ring' [98, 1] (w:1, o:125, a:1, s:
% 0.91/1.37 1, b:0),
% 0.91/1.37 'class_Ring__and__Field_Oring' [100, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.91/1.37
% 0.91/1.37 'class_OrderedGroup_Ogroup__add' [101, 1] (w:1, o:127, a:1, s:1, b:0)
% 0.91/1.37 ,
% 0.91/1.37 'c_Finite__Set_Ofold__graph' [102, 6] (w:1, o:221, a:1, s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Olordered__ab__group__add__join' [103, 1] (w:1
% 0.91/1.37 , o:128, a:1, s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Oab__group__add' [104, 1] (w:1, o:129, a:1, s:1
% 0.91/1.37 , b:0),
% 0.91/1.37 'class_OrderedGroup_Oab__semigroup__add' [105, 1] (w:1, o:130, a:1
% 0.91/1.37 , s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Olordered__ab__group__add__meet' [107, 1] (w:1
% 0.91/1.37 , o:131, a:1, s:1, b:0),
% 0.91/1.37 'class_Ring__and__Field_Osemiring' [108, 1] (w:1, o:132, a:1, s:1, b:
% 0.91/1.37 0),
% 0.91/1.37 'class_OrderedGroup_Ocancel__ab__semigroup__add' [109, 1] (w:1, o:133
% 0.91/1.37 , a:1, s:1, b:0),
% 0.91/1.37 'class_OrderedGroup_Ocancel__semigroup__add' [110, 1] (w:1, o:134, a:
% 0.91/1.37 1, s:1, b:0),
% 0.91/1.37 'class_Finite__Set_Ofinite_Ofinite' [111, 1] (w:1, o:135, a:1, s:1
% 0.91/1.37 , b:0),
% 0.91/1.37 'c_OrderedGroup_Oab__semigroup__mult' [114, 2] (w:1, o:176, a:1, s:1
% 0.91/1.37 , b:0),
% 0.91/1.37 'c_Com_Ocom_OSKIP' [117, 0] (w:1, o:69, a:1, s:1, b:0),
% 0.91/1.37 'c_Natural_Oevaln' [119, 4] (w:1, o:208, a:1, s:1, b:0),
% 0.91/1.37 'c_Set_Ovimage' [120, 4] (w:1, o:209, a:1, s:1, b:0),
% 0.91/1.37 'c_Collect' [122, 2] (w:1, o:177, a:1, s:1, b:0),
% 0.91/1.37 'class_Lattices_Olattice' [123, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.91/1.37 'class_Lattices_Oupper__semilattice' [124, 1] (w:1, o:137, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'class_HOL_Ominus' [125, 1] (w:1, o:122, a:1, s:1, b:0),
% 6.04/6.41 't_a' [126, 0] (w:1, o:72, a:1, s:1, b:0),
% 6.04/6.41 'v_x' [127, 0] (w:1, o:73, a:1, s:1, b:0),
% 6.04/6.41 'class_Complete__Lattice_Ocomplete__lattice' [128, 1] (w:1, o:138, a:
% 6.04/6.41 1, s:1, b:0),
% 6.04/6.41 'c_COMBK' [129, 3] (w:1, o:197, a:1, s:1, b:0),
% 6.04/6.41 'c_Com_Ocom_OSemi' [132, 2] (w:1, o:178, a:1, s:1, b:0),
% 6.04/6.41 'class_Lattices_Odistrib__lattice' [139, 1] (w:1, o:139, a:1, s:1, b:
% 6.04/6.41 0),
% 6.04/6.41 'c_Finite__Set_Ofold1Set' [141, 3] (w:1, o:198, a:1, s:1, b:0),
% 6.04/6.41 'c_The' [142, 2] (w:1, o:180, a:1, s:1, b:0),
% 6.04/6.41 'c_Complete__Lattice_OInf__class_OInf' [144, 2] (w:1, o:181, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'c_Complete__Lattice_OSup__class_OSup' [149, 2] (w:1, o:182, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'class_Orderings_Oorder' [152, 1] (w:1, o:140, a:1, s:1, b:0),
% 6.04/6.41 'c_SetInterval_Oord__class_OatLeastAtMost' [153, 3] (w:1, o:199, a:1
% 6.04/6.41 , s:1, b:0),
% 6.04/6.41 'class_HOL_Oord' [154, 1] (w:1, o:123, a:1, s:1, b:0),
% 6.04/6.41 'c_ATP__Linkup_Osko__Set__Xset__insert__1__1' [155, 3] (w:1, o:200
% 6.04/6.41 , a:1, s:1, b:0),
% 6.04/6.41 'c_Complete__Lattice_Ocomplete__lattice' [164, 9] (w:1, o:224, a:1
% 6.04/6.41 , s:1, b:0),
% 6.04/6.41 'class_Lattices_Obounded__lattice' [165, 1] (w:1, o:141, a:1, s:1, b:
% 6.04/6.41 0),
% 6.04/6.41 'class_Orderings_Obot' [166, 1] (w:1, o:142, a:1, s:1, b:0),
% 6.04/6.41 'class_Orderings_Opreorder' [168, 1] (w:1, o:143, a:1, s:1, b:0),
% 6.04/6.41 'c_fequal' [169, 2] (w:1, o:183, a:1, s:1, b:0),
% 6.04/6.41 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [170, 2] (w:1, o:175, a:1
% 6.04/6.41 , s:1, b:0),
% 6.04/6.41 'c_Set_Ocontents' [171, 2] (w:1, o:179, a:1, s:1, b:0),
% 6.04/6.41 'c_Hoare__Mirabelle_Otriple_Otriple' [172, 4] (w:1, o:210, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'tc_Hoare__Mirabelle_Otriple' [173, 1] (w:1, o:144, a:1, s:1, b:0),
% 6.04/6.41 'c_Hoare__Mirabelle_Ohoare__derivs' [174, 3] (w:1, o:201, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [176, 6] (w:1
% 6.04/6.41 , o:222, a:1, s:1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [177, 4] (w:1
% 6.04/6.41 , o:212, a:1, s:1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xconseq12__3' [180, 4] (w:1, o:215, a:1, s:
% 6.04/6.41 1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xconseq12__2' [181, 4] (w:1, o:214, a:1, s:
% 6.04/6.41 1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [182, 6] (w:
% 6.04/6.41 1, o:223, a:1, s:1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [183, 4] (w:
% 6.04/6.41 1, o:217, a:1, s:1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [184, 4] (w:
% 6.04/6.41 1, o:216, a:1, s:1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [185, 4] (w:1
% 6.04/6.41 , o:211, a:1, s:1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xconseq2__1' [186, 2] (w:1, o:186, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xconseq2__2' [187, 2] (w:1, o:187, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xconseq12__1' [188, 4] (w:1, o:213, a:1, s:
% 6.04/6.41 1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xconseq1__1' [189, 2] (w:1, o:184, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xconseq1__2' [190, 2] (w:1, o:185, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xescape__1' [191, 4] (w:1, o:218, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xescape__2' [192, 4] (w:1, o:219, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'c_Hoare__Mirabelle_Otriple__valid' [195, 3] (w:1, o:202, a:1, s:1
% 6.04/6.41 , b:0),
% 6.04/6.41 'v_P' [196, 0] (w:1, o:87, a:1, s:1, b:0),
% 6.04/6.41 't_b' [197, 0] (w:1, o:88, a:1, s:1, b:0),
% 6.04/6.41 'v_Q' [198, 0] (w:1, o:89, a:1, s:1, b:0),
% 6.04/6.41 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1' [200, 2] (w:1, o:
% 6.04/6.41 188, a:1, s:1, b:0),
% 6.04/6.41 'v_n' [210, 0] (w:1, o:92, a:1, s:1, b:0),
% 6.04/6.41 'v_c' [211, 0] (w:1, o:93, a:1, s:1, b:0),
% 6.04/6.41 'v_Ga' [212, 0] (w:1, o:94, a:1, s:1, b:0),
% 6.04/6.41 'v_Z' [215, 2] (w:1, o:189, a:1, s:1, b:0),
% 6.04/6.41 'v_s' [216, 2] (w:1, o:190, a:1, s:1, b:0),
% 6.04/6.41 'v_sb' [217, 3] (w:1, o:204, a:1, s:1, b:0),
% 6.04/6.41 'v_sa' [219, 3] (w:1, o:203, a:1, s:1, b:0).
% 6.04/6.41
% 6.04/6.41
% 6.04/6.41 Starting Search:
% 6.04/6.41
% 6.04/6.41 Resimplifying inuse:
% 6.04/6.41 Done
% 6.04/6.41
% 6.04/6.41
% 6.04/6.41 Intermediate Status:
% 6.04/6.41 Generated: 5541
% 19.20/19.56 Kept: 2000
% 19.20/19.56 Inuse: 109
% 19.20/19.56 Deleted: 0
% 19.20/19.56 Deletedinuse: 0
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 23925
% 19.20/19.56 Kept: 4253
% 19.20/19.56 Inuse: 146
% 19.20/19.56 Deleted: 0
% 19.20/19.56 Deletedinuse: 0
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 32353
% 19.20/19.56 Kept: 6271
% 19.20/19.56 Inuse: 235
% 19.20/19.56 Deleted: 2
% 19.20/19.56 Deletedinuse: 1
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 51818
% 19.20/19.56 Kept: 8294
% 19.20/19.56 Inuse: 270
% 19.20/19.56 Deleted: 2
% 19.20/19.56 Deletedinuse: 1
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 60762
% 19.20/19.56 Kept: 10758
% 19.20/19.56 Inuse: 299
% 19.20/19.56 Deleted: 6
% 19.20/19.56 Deletedinuse: 4
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 65127
% 19.20/19.56 Kept: 12764
% 19.20/19.56 Inuse: 306
% 19.20/19.56 Deleted: 6
% 19.20/19.56 Deletedinuse: 4
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 74266
% 19.20/19.56 Kept: 14875
% 19.20/19.56 Inuse: 364
% 19.20/19.56 Deleted: 6
% 19.20/19.56 Deletedinuse: 4
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 85571
% 19.20/19.56 Kept: 16966
% 19.20/19.56 Inuse: 404
% 19.20/19.56 Deleted: 6
% 19.20/19.56 Deletedinuse: 4
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 98504
% 19.20/19.56 Kept: 18967
% 19.20/19.56 Inuse: 430
% 19.20/19.56 Deleted: 6
% 19.20/19.56 Deletedinuse: 4
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying clauses:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 113618
% 19.20/19.56 Kept: 21087
% 19.20/19.56 Inuse: 441
% 19.20/19.56 Deleted: 441
% 19.20/19.56 Deletedinuse: 4
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 129915
% 19.20/19.56 Kept: 23830
% 19.20/19.56 Inuse: 460
% 19.20/19.56 Deleted: 441
% 19.20/19.56 Deletedinuse: 4
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 146614
% 19.20/19.56 Kept: 26059
% 19.20/19.56 Inuse: 495
% 19.20/19.56 Deleted: 441
% 19.20/19.56 Deletedinuse: 4
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 158050
% 19.20/19.56 Kept: 28198
% 19.20/19.56 Inuse: 515
% 19.20/19.56 Deleted: 443
% 19.20/19.56 Deletedinuse: 6
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 168318
% 19.20/19.56 Kept: 30400
% 19.20/19.56 Inuse: 539
% 19.20/19.56 Deleted: 457
% 19.20/19.56 Deletedinuse: 20
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 199626
% 19.20/19.56 Kept: 33648
% 19.20/19.56 Inuse: 554
% 19.20/19.56 Deleted: 457
% 19.20/19.56 Deletedinuse: 20
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 210649
% 19.20/19.56 Kept: 35652
% 19.20/19.56 Inuse: 597
% 19.20/19.56 Deleted: 458
% 19.20/19.56 Deletedinuse: 20
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 221254
% 19.20/19.56 Kept: 37758
% 19.20/19.56 Inuse: 638
% 19.20/19.56 Deleted: 473
% 19.20/19.56 Deletedinuse: 35
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 231601
% 19.20/19.56 Kept: 39991
% 19.20/19.56 Inuse: 658
% 19.20/19.56 Deleted: 473
% 19.20/19.56 Deletedinuse: 35
% 19.20/19.56
% 19.20/19.56 Resimplifying clauses:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 245599
% 19.20/19.56 Kept: 42017
% 19.20/19.56 Inuse: 702
% 19.20/19.56 Deleted: 1495
% 19.20/19.56 Deletedinuse: 36
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 260834
% 19.20/19.56 Kept: 44293
% 19.20/19.56 Inuse: 763
% 19.20/19.56 Deleted: 1495
% 19.20/19.56 Deletedinuse: 36
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 272147
% 19.20/19.56 Kept: 46323
% 19.20/19.56 Inuse: 778
% 19.20/19.56 Deleted: 1495
% 19.20/19.56 Deletedinuse: 36
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 289428
% 19.20/19.56 Kept: 48620
% 19.20/19.56 Inuse: 816
% 19.20/19.56 Deleted: 1497
% 19.20/19.56 Deletedinuse: 36
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 298695
% 19.20/19.56 Kept: 50692
% 19.20/19.56 Inuse: 849
% 19.20/19.56 Deleted: 1511
% 19.20/19.56 Deletedinuse: 38
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 311827
% 19.20/19.56 Kept: 52698
% 19.20/19.56 Inuse: 872
% 19.20/19.56 Deleted: 1511
% 19.20/19.56 Deletedinuse: 38
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56 Resimplifying inuse:
% 19.20/19.56 Done
% 19.20/19.56
% 19.20/19.56
% 19.20/19.56 Intermediate Status:
% 19.20/19.56 Generated: 320994
% 19.20/19.56 Kept: 54784
% 19.20/19.56 Inuse: 899
% 19.20/19.56 Deleted: 1512
% 19.20/19.56 Deletedinuse: 39
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 333297
% 142.76/143.21 Kept: 56992
% 142.76/143.21 Inuse: 929
% 142.76/143.21 Deleted: 1514
% 142.76/143.21 Deletedinuse: 41
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 344297
% 142.76/143.21 Kept: 59269
% 142.76/143.21 Inuse: 952
% 142.76/143.21 Deleted: 1520
% 142.76/143.21 Deletedinuse: 45
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying clauses:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 355877
% 142.76/143.21 Kept: 61274
% 142.76/143.21 Inuse: 973
% 142.76/143.21 Deleted: 2592
% 142.76/143.21 Deletedinuse: 45
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 369376
% 142.76/143.21 Kept: 63492
% 142.76/143.21 Inuse: 997
% 142.76/143.21 Deleted: 2592
% 142.76/143.21 Deletedinuse: 45
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 383593
% 142.76/143.21 Kept: 66191
% 142.76/143.21 Inuse: 1017
% 142.76/143.21 Deleted: 2592
% 142.76/143.21 Deletedinuse: 45
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 397793
% 142.76/143.21 Kept: 69009
% 142.76/143.21 Inuse: 1032
% 142.76/143.21 Deleted: 2592
% 142.76/143.21 Deletedinuse: 45
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 412391
% 142.76/143.21 Kept: 71705
% 142.76/143.21 Inuse: 1047
% 142.76/143.21 Deleted: 2592
% 142.76/143.21 Deletedinuse: 45
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 434879
% 142.76/143.21 Kept: 75786
% 142.76/143.21 Inuse: 1082
% 142.76/143.21 Deleted: 2592
% 142.76/143.21 Deletedinuse: 45
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 448129
% 142.76/143.21 Kept: 77926
% 142.76/143.21 Inuse: 1096
% 142.76/143.21 Deleted: 2593
% 142.76/143.21 Deletedinuse: 46
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 461710
% 142.76/143.21 Kept: 80568
% 142.76/143.21 Inuse: 1107
% 142.76/143.21 Deleted: 2593
% 142.76/143.21 Deletedinuse: 46
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying clauses:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 472227
% 142.76/143.21 Kept: 82891
% 142.76/143.21 Inuse: 1127
% 142.76/143.21 Deleted: 2698
% 142.76/143.21 Deletedinuse: 47
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 490095
% 142.76/143.21 Kept: 85550
% 142.76/143.21 Inuse: 1167
% 142.76/143.21 Deleted: 2698
% 142.76/143.21 Deletedinuse: 47
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 502906
% 142.76/143.21 Kept: 87644
% 142.76/143.21 Inuse: 1194
% 142.76/143.21 Deleted: 2698
% 142.76/143.21 Deletedinuse: 47
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 515293
% 142.76/143.21 Kept: 90067
% 142.76/143.21 Inuse: 1212
% 142.76/143.21 Deleted: 2698
% 142.76/143.21 Deletedinuse: 47
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 523505
% 142.76/143.21 Kept: 92208
% 142.76/143.21 Inuse: 1226
% 142.76/143.21 Deleted: 2700
% 142.76/143.21 Deletedinuse: 48
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 534083
% 142.76/143.21 Kept: 94222
% 142.76/143.21 Inuse: 1243
% 142.76/143.21 Deleted: 2700
% 142.76/143.21 Deletedinuse: 48
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 553563
% 142.76/143.21 Kept: 96549
% 142.76/143.21 Inuse: 1255
% 142.76/143.21 Deleted: 2718
% 142.76/143.21 Deletedinuse: 50
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 572943
% 142.76/143.21 Kept: 99860
% 142.76/143.21 Inuse: 1260
% 142.76/143.21 Deleted: 2733
% 142.76/143.21 Deletedinuse: 51
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying clauses:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 588965
% 142.76/143.21 Kept: 101998
% 142.76/143.21 Inuse: 1291
% 142.76/143.21 Deleted: 2938
% 142.76/143.21 Deletedinuse: 51
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 603306
% 142.76/143.21 Kept: 104092
% 142.76/143.21 Inuse: 1311
% 142.76/143.21 Deleted: 2940
% 142.76/143.21 Deletedinuse: 53
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 618221
% 142.76/143.21 Kept: 106303
% 142.76/143.21 Inuse: 1341
% 142.76/143.21 Deleted: 2941
% 142.76/143.21 Deletedinuse: 54
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 630823
% 142.76/143.21 Kept: 108345
% 142.76/143.21 Inuse: 1364
% 142.76/143.21 Deleted: 2941
% 142.76/143.21 Deletedinuse: 54
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 647980
% 142.76/143.21 Kept: 110591
% 142.76/143.21 Inuse: 1401
% 142.76/143.21 Deleted: 2941
% 142.76/143.21 Deletedinuse: 54
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21 Resimplifying inuse:
% 142.76/143.21 Done
% 142.76/143.21
% 142.76/143.21
% 142.76/143.21 Intermediate Status:
% 142.76/143.21 Generated: 667346
% 142.76/143.21 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------