TSTP Solution File: SWV851-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV851-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 16:28:50 EDT 2022
% Result : Timeout 300.03s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV851-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 22:51:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.95/1.31 *** allocated 10000 integers for termspace/termends
% 0.95/1.31 *** allocated 10000 integers for clauses
% 0.95/1.31 *** allocated 10000 integers for justifications
% 0.95/1.31 *** allocated 15000 integers for termspace/termends
% 0.95/1.31 *** allocated 22500 integers for termspace/termends
% 0.95/1.31 Bliksem 1.12
% 0.95/1.31
% 0.95/1.31
% 0.95/1.31 Automatic Strategy Selection
% 0.95/1.31
% 0.95/1.31 Clauses:
% 0.95/1.31 [
% 0.95/1.31 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.95/1.31 ) ],
% 0.95/1.31 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.95/1.31 ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.95/1.31 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.95/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.95/1.31 , 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ) ), Y ) )
% 0.95/1.31 ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.95/1.31 , 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.95/1.31 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.95/1.31 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.95/1.31 , Y, hAPP( 'c_Set_Oinsert'( Z, X ), T ), X, X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ),
% 0.95/1.31 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.95/1.31 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.95/1.31 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 0.95/1.31 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.95/1.31 Z ) ],
% 0.95/1.31 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.95/1.31 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ofold'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), Y ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.95/1.31 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.95/1.31 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.95/1.31 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.95/1.31 ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.95/1.31 ],
% 0.95/1.31 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.95/1.31 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.95/1.31 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( 'c_List_Oset'( X, Y ), Y ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 T, hAPP( 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), 'tc_fun'( Z, 'tc_bool' )
% 0.95/1.31 , 'tc_fun'( Y, 'tc_bool' ), W ), U ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.95/1.31 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.95/1.31 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.95/1.31 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.95/1.31 , V4 ), W ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL(
% 0.95/1.31 hAPP( T, hAPP( X, U ) ) ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.95/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.95/1.31 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.95/1.31 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.31 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.31 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.95/1.31 , 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), W
% 0.95/1.31 , U ), V0 ), hAPP( 'c_Fun_Ocomp'( 'c_Fun_Othe__inv__into'( X, Z, W, T ),
% 0.95/1.31 'c_Fun_Othe__inv__into'( hAPP( 'c_Set_Oimage'( Z, W, T ), X ), Y, T, U )
% 0.95/1.31 , T, W, U ), V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), V0 ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( Y, T, U ), hAPP( 'c_Set_Oimage'( Z, W, T ), X ) ) ) ) ),
% 0.95/1.31 ~( 'c_Fun_Oinj__on'( Z, X, W, T ) ), ~( 'c_Fun_Oinj__on'( Y, hAPP(
% 0.95/1.31 'c_Set_Oimage'( Z, W, T ), X ), T, U ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31 , X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T
% 0.95/1.31 , 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ), hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T
% 0.95/1.31 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T )
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'(
% 0.95/1.31 X, Z ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.31 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.95/1.31 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ),
% 0.95/1.31 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( Z, hAPP(
% 0.95/1.31 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( T, Z ), Y ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z
% 0.95/1.31 , 'tc_bool' ) ), Z ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.95/1.31 hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'(
% 0.95/1.31 X, Y ), Z ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T )
% 0.95/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T )
% 0.95/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.95/1.31 , 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.95/1.31 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ],
% 0.95/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.95/1.31 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y, U ) ), U ),
% 0.95/1.31 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 0.95/1.31 X, Z, T ) ) ],
% 0.95/1.31 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP( 'c_Fun_Othe__inv__into'(
% 0.95/1.31 Y, X, Z, T ), hAPP( X, U ) ), U ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U )
% 0.95/1.31 , Y ) ) ) ],
% 0.95/1.31 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.31 Z, X ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.31 Z, X ) ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.31 Z, X ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.31 Z, X ) ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.31 Z, X ) ), X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.31 Z, X ) ), X ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.95/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.95/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oimage'( X
% 0.95/1.31 , Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'(
% 0.95/1.31 X, Y, Z ), T ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.95/1.31 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 ) ],
% 0.95/1.31 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.95/1.31 'c_COMBB'( Y, Z, 'tc_fun'( T, 'tc_bool' ), U ), W ), U, 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 hAPP( 'c_Set_Oimage'( W, U, Z ), X ), Y, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.95/1.31 ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 T, hAPP( 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), 'tc_fun'( Y, 'tc_bool' ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ), W ), U ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.95/1.31 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, hAPP( 'c_COMBB'(
% 0.95/1.31 U, Z, 'tc_fun'( W, 'tc_bool' ), Y ), X ), Y, 'tc_fun'( W, 'tc_bool' ) ) )
% 0.95/1.31 ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.31 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.95/1.31 Y, 'v_x' ), X ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 0.95/1.31 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, U, Z ), W ), Z, T ) ), ~(
% 0.95/1.31 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, Z, T ), U ), T, W ), ~(
% 0.95/1.31 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, T, W, Z ), U, Z, W ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( Y, Z, T ), X ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T )
% 0.95/1.31 ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), T, Z )
% 0.95/1.31 , hAPP( 'c_Set_Oimage'( Y, Z, T ), X ) ), X ), ~( 'c_Fun_Oinj__on'( Y, X
% 0.95/1.31 , Z, T ) ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.95/1.31 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( hAPP( 'c_Fun_Othe__inv__into'( 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), hAPP( Y, T ) ), T ), ~(
% 0.95/1.31 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ), X, Z ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.95/1.31 ), X ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.95/1.31 X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ),
% 0.95/1.31 'c_Int_Oring__1__class_OInts'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 0.95/1.31 , Z ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( X ), Y ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 0.95/1.31 [ =( 'c_Com_Ocom_Ocom__size'( 'c_Com_Ocom_OSKIP' ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31 [ =( 'c_Nat_Osize__class_Osize'( 'c_Com_Ocom_OSKIP', 'tc_Com_Ocom' ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31 [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.95/1.31 hAPP( 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.95/1.31 'c_Finite__Set_Ocard'( X, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.95/1.31 X ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ),
% 0.95/1.31 'c_Suc'( 'c_Finite__Set_Ocard'( Z, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y
% 0.95/1.31 ), X ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_Finite__Set_Ocard'( hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ), X ), 'c_Suc'( 'c_Finite__Set_Ocard'(
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.95/1.31 , Z ) ],
% 0.95/1.31 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.95/1.31 , T ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.95/1.31 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.95/1.31 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T,
% 0.95/1.31 U, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.95/1.31 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ),
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ofun__upd'( Y, Z, T, U, W ), W, V0, U ),
% 0.95/1.31 'c_Fun_Ofun__upd'( 'c_Fun_Ocomp'( X, Y, W, V0, U ), Z, hAPP( X, T ), U,
% 0.95/1.31 V0 ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.31 , T, X ) ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.95/1.31 , T, X ) ) ), =( Z, T ) ],
% 0.95/1.31 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 0.95/1.31 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.95/1.31 ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 0.95/1.31 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 0.95/1.31 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.95/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.95/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.95/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_HOL_Ouminus__class_Ouminus'( T
% 0.95/1.31 , 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.95/1.31 'c_Set_Ovimage'( X, Y, Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP(
% 0.95/1.31 'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.95/1.31 'c_lessequals'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.95/1.31 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.95/1.31 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.31 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.31 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.95/1.31 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.95/1.31 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.31 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.31 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.95/1.31 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.95/1.31 , Y, Z, X, X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.31 X ), T ), Y ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Z ) ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), W )
% 0.95/1.31 , hAPP( 'c_Set_Ovimage'( Y, U, Z ), hAPP( 'c_Set_Ovimage'( X, Z, T ), W )
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.31 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.95/1.31 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.95/1.31 , 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.95/1.31 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.95/1.31 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.95/1.31 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.95/1.31 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.95/1.31 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.95/1.31 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.95/1.31 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.31 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31 ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.95/1.31 ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31 ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31 ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.31 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31 ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31 ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), W ),
% 0.95/1.31 hAPP( 'c_Set_Oimage'( X, Z, T ), hAPP( 'c_Set_Oimage'( Y, U, Z ), W ) ) )
% 0.95/1.31 ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.95/1.31 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.95/1.31 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.95/1.31 , 'v_x' ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( =( 'c_Com_Ocom_OSKIP', hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ),
% 0.95/1.31 'c_Finite__Set_Ocard'( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), X ),
% 0.95/1.31 Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.95/1.31 hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ), Z ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( Y ), X ), Z ) ) ) ],
% 0.95/1.31 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), hAPP(
% 0.95/1.31 'c_Set_Ovimage'( X, T, U ), hAPP( 'c_Set_Oinsert'( Z, U ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.95/1.31 , hAPP( 'c_Set_Oinsert'( hAPP( Z, Y ), T ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ],
% 0.95/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.95/1.31 hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), Z ), hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( Y ), X ), Z ) ) ],
% 0.95/1.31 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.31 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.95/1.31 'c_COMBB'( 'c_Set_Oinsert'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 0.95/1.31 , 'tc_bool' ), T ), U ), T, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, Z ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, T, 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), X ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.95/1.31 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.95/1.31 , Y, hAPP( 'c_Set_Oinsert'( Z, X ), T ), X, X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ),
% 0.95/1.31 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.95/1.31 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y
% 0.95/1.31 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oinsert'( T, Z ), U
% 0.95/1.31 ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oinsert'(
% 0.95/1.31 T, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) )
% 0.95/1.31 , hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.95/1.31 [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T ), U ) ), U ),
% 0.95/1.31 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( X, Z, T ),
% 0.95/1.31 Y ) ) ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ],
% 0.95/1.31 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.95/1.31 'c_COMBB'( 'c_Set_Oinsert'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 0.95/1.31 , 'tc_bool' ), X ), T ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.95/1.31 'c_COMBB'( 'c_Set_Oinsert'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 0.95/1.31 , 'tc_bool' ), T ), U ), T, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, Z ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, T, 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 Z, hAPP( 'c_COMBB'( 'c_Set_Oinsert'( X, Y ), 'tc_fun'( Y, 'tc_bool' ),
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ), U ), T ), U, 'tc_fun'( Y, 'tc_bool' ) ) ), =( Z
% 0.95/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 Z, hAPP( 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ), U ), T ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z,
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.95/1.31 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ), Z ), 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.95/1.31 , T ), U ), T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.95/1.31 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, T,
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.95/1.31 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ), Z ), 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.95/1.31 , X ), T ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.95/1.31 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 0.95/1.31 [ ~( =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z )
% 0.95/1.31 , 'c_Finite__Set_Ocard'( T, Y ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) )
% 0.95/1.31 , 'c_Fun_Oinj__on'( X, T, Y, Z ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), Y ),
% 0.95/1.31 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), Y, Z ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T, U
% 0.95/1.31 , 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.95/1.31 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.95/1.31 ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.95/1.31 T ) ), T ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T, U
% 0.95/1.31 , 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.95/1.31 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, T ), Y
% 0.95/1.31 , U, T ), Z, T, U, Y ), X ), ~( 'c_Fun_Oinj__on'( Z,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, T ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, hAPP(
% 0.95/1.31 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ), T, Z, U ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, T, Z, U )
% 0.95/1.31 ) ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Fun_Ocomp'( 'v_f', 'v_g', 't_a', 't_b', 't_c' ), 'v_x' ),
% 0.95/1.31 hAPP( 'v_f', hAPP( 'v_g', 'v_x' ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.95/1.31 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.95/1.31 , Z, T, X, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( 'c_Finite__Set_Ocard'(
% 0.95/1.31 hAPP( 'c_Set_Oinsert'( Y, X ), Z ), X ), 'c_Suc'( 'c_Finite__Set_Ocard'(
% 0.95/1.31 Z, X ) ) ), =( 'c_Finite__Set_Ocard'( Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.31 'tc_nat' ) ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'(
% 0.95/1.31 Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'( X, hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y
% 0.95/1.31 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y
% 0.95/1.31 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, X ) ),
% 0.95/1.31 'c_Finite__Set_Ofold'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, 'tc_fun'( X, X ), U
% 0.95/1.31 ), T ), Y, Z, U, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( 'c_Fun_Othe__inv__into'( Y, Z, X
% 0.95/1.31 , T ), U ) ), W ) ), ~( 'c_lessequals'( Y, W, 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( Z, X, T
% 0.95/1.31 ), Y ) ) ) ), ~( 'c_Fun_Oinj__on'( Z, Y, X, T ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.95/1.31 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), Y, Z ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, T ) ),
% 0.95/1.31 hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ) ) ) ), =( hAPP( X, T ), hAPP( X,
% 0.95/1.31 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, T ), X, T, Z,
% 0.95/1.31 Y ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, T, U, Z )
% 0.95/1.31 ), hAPP( 'c_Set_Oimage'( T, U, Z ), 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 'tc_fun'( U, 'tc_bool' ) ) ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( =( 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, Y ),
% 0.95/1.31 X, Y, Z, T ), Y ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ),
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, Y ) ), hAPP( 'c_Set_Oimage'( X,
% 0.95/1.31 T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) ) )
% 0.95/1.31 ],
% 0.95/1.31 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( X, Y
% 0.95/1.31 , Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( Y, T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, X ) ), =(
% 0.95/1.31 Z, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( hAPP( Y, Z ), Y, X,
% 0.95/1.31 T ) ) ],
% 0.95/1.31 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 0.95/1.31 ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( U, T, Y ), Z ), X, 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 0.95/1.31 hAPP( 'c_Set_Oimage'( W, Y, T ), X ), Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.95/1.31 ~( 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ),
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple__valid'(
% 0.95/1.31 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), Z, 't_a' ),
% 0.95/1.31 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Z
% 0.95/1.31 ), X ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U, 'tc_fun'( Y
% 0.95/1.31 , 'tc_bool' ) ), ~( 'c_lessequals'( T, hAPP( 'c_Set_Oimage'( X, Y, Z ), U
% 0.95/1.31 ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( T, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.95/1.31 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), Y, Z ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, 'c_Fun_Ocomp'( Y, Z, T, U
% 0.95/1.31 , W ), W, U ), V0 ), hAPP( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 0.95/1.31 X, Z, W, T ), 'c_Hilbert__Choice_Oinv__into'( hAPP( 'c_Set_Oimage'( Z, W
% 0.95/1.31 , T ), X ), Y, T, U ), T, W, U ), V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U
% 0.95/1.31 ), V0 ), hAPP( 'c_Set_Oimage'( Y, T, U ), hAPP( 'c_Set_Oimage'( Z, W, T
% 0.95/1.31 ), X ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Z, X, W, T ) ), ~( 'c_Fun_Oinj__on'(
% 0.95/1.31 Y, hAPP( 'c_Set_Oimage'( Z, W, T ), X ), T, U ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.95/1.31 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.95/1.31 'c_Com_Ocom_OSemi'( T, U ) ), W ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.95/1.31 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.95/1.31 hAPP( 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP( hAPP(
% 0.95/1.31 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.95/1.31 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.95/1.31 'c_Com_Ocom_OSKIP' ), Z ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.95/1.31 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.95/1.31 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, X ),
% 0.95/1.31 'c_Finite__Set_Ofold'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, 'tc_fun'( X, X ), T
% 0.95/1.31 ), Z ), 'c_Orderings_Obot__class_Obot'( X ), Y, T, X ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( U, hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Z, T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.95/1.31 Y, hAPP( 'c_Set_Oinsert'( Z, T ), U ), T, X ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), Z, U ), hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( U ), hAPP( X, Y ) ), hAPP( 'c_Set_Oimage'( X, Z, U )
% 0.95/1.31 , 'c_HOL_Ominus__class_Ominus'( T, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.95/1.31 , 'tc_bool' ) ) ) ) ), ~( 'c_Fun_Oinj__on'( X, T, Z, U ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 0.95/1.31 ), hAPP( 'c_Set_Oinsert'( Z, U ), hAPP( 'c_Set_Oimage'( X, T, U ),
% 0.95/1.31 'c_HOL_Ominus__class_Ominus'( W, hAPP( 'c_Set_Oinsert'( Y, T ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), 'tc_fun'( T
% 0.95/1.31 , 'tc_bool' ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.95/1.31 'c_COMBB'( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool'
% 0.95/1.31 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool'
% 0.95/1.31 ), X ), Y ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP(
% 0.95/1.31 'c_in'( 't_a' ), 'v_x' ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.95/1.31 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_List_Oset'( Y,
% 0.95/1.31 Z ), T, Z, X ), 'c_List_Ofoldl'( 'c_COMBC'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, 'tc_fun'( X, X ), Z
% 0.95/1.31 ), T ), Z, X, X ), 'c_Orderings_Obot__class_Obot'( X ), Y, X, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Z, X ), T
% 0.95/1.31 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Z, X ), T
% 0.95/1.31 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.31 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.31 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.31 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.95/1.31 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.95/1.31 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.31 ), Y ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.31 ), Y ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.31 ), Y ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.95/1.31 , X ), X ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.95/1.31 , X ), X ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, hAPP(
% 0.95/1.31 'c_Set_Oimage'( X, Z, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.95/1.31 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.95/1.31 ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.95/1.31 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.95/1.31 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.31 [ =( X, 'c_Suc'( 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y
% 0.95/1.31 , X, Z, T ) ) ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', Y ), Z
% 0.95/1.31 , X, T ) ) ],
% 0.95/1.31 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.95/1.31 Y, X ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.31 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 0.95/1.31 , X ), hAPP( 'c_Set_Oimage'( Y, X, Z ), T ) ), T ), ~( 'c_Fun_Oinj__on'(
% 0.95/1.31 Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 0.95/1.31 , X ), hAPP( 'c_Set_Oimage'( Y, X, Z ), T ) ), T ), ~( 'c_Fun_Oinj__on'(
% 0.95/1.31 Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.95/1.31 , hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.95/1.31 Y, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.95/1.31 , hAPP( 'c_Set_Oinsert'( T, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( T,
% 0.95/1.31 Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.95/1.31 Z, T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.95/1.31 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, X ), T ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Z ) ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), Z ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Z ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( Y ), X ), Z ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), =( X, Z
% 0.95/1.31 ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.95/1.31 X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ),
% 0.95/1.31 'c_Int_Oring__1__class_OInts'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 0.95/1.31 , Y ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), Y, Z ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.31 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.95/1.31 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.95/1.31 U ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) )
% 0.95/1.31 , hAPP( 'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), T ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.31 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.95/1.31 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T )
% 0.95/1.31 , T, Z ), hAPP( 'c_Set_Oimage'( Y, Z, T ), U ) ), U ), ~( 'c_lessequals'(
% 0.95/1.31 U, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ) ) ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, hAPP(
% 0.95/1.31 'c_Set_Oimage'( Z, T, Y ), U ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.95/1.31 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 0.95/1.31 ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.95/1.31 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.95/1.31 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP(
% 0.95/1.31 'c_Set_Oinsert'( U, Z ), Y ), Z, T ) ) ],
% 0.95/1.31 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.95/1.31 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.95/1.31 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( X, Y ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.95/1.31 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( T ), Y ), Z ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.95/1.31 hAPP( 'c_Set_Oinsert'( T, Z ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( T, X ), Z ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.95/1.31 ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.95/1.31 ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.95/1.31 ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.95/1.31 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.95/1.31 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.95/1.31 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.95/1.31 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.95/1.31 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.95/1.31 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.95/1.31 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.95/1.31 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.95/1.31 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.95/1.31 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.95/1.31 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( 'c_Set_Oinsert'( X, Y
% 0.95/1.31 ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T ) ), hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( Y ), X ), Z ) ), =( Z, T ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.95/1.31 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.95/1.31 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.95/1.31 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.95/1.31 ), Z ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.95/1.31 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.95/1.31 ), Y ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( Y ), X ), Z ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.95/1.31 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.95/1.31 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.95/1.31 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.95/1.31 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.31 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.31 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.31 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.95/1.31 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.31 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.95/1.31 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.95/1.31 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ) ),
% 0.95/1.31 ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.95/1.31 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~(
% 0.95/1.31 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ), T, X ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ),
% 0.95/1.31 ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ), X, T ) ) ],
% 0.95/1.31 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.31 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.31 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, Y,
% 0.95/1.31 Z, T ), U ), T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ) ), Z ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( U
% 0.95/1.31 , T, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ), Y
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.31 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.31 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.95/1.31 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.95/1.31 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.31 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.31 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.95/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.95/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.95/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.95/1.31 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.95/1.31 X ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.95/1.31 X ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.95/1.31 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.95/1.31 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.95/1.31 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.95/1.31 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 0.95/1.31 ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.95/1.31 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, Z
% 0.95/1.31 , T, U ) ), hAPP( Z, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X
% 0.95/1.31 , Z, T, U ) ) ) ), =( hAPP( 'c_Set_Oimage'( X, T, U ), Y ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( Z, T, U ), Y ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oinsert'( T, Y ), U )
% 0.95/1.31 ), hAPP( 'c_Set_Oinsert'( hAPP( X, T ), Z ), hAPP( 'c_Set_Oimage'( X, Y
% 0.95/1.31 , Z ), U ) ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.95/1.31 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 0.95/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.95/1.31 , 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.95/1.31 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.95/1.31 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.95/1.31 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.95/1.31 U, 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.95/1.31 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.95/1.31 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ), Y ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.95/1.31 ) ) ), Y ), Y ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.95/1.31 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.95/1.31 ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), hAPP( 'c_Set_Oinsert'( Z, X ), T ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Z, X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), T ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y, X ), Z ) ), T ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Z ), T ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.95/1.31 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.95/1.31 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.95/1.31 , U ), Y ), Z, T ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.95/1.31 , Y ), U ), Z, T ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.95/1.31 ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.95/1.31 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ) ), T ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ),
% 0.95/1.31 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), 't_a' ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 0.95/1.31 'c_Nat_Osemiring__1__class_ONats'( X ) ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.31 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.31 , X ), X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.95/1.31 ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.95/1.31 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.31 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.95/1.31 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), Z ) )
% 0.95/1.31 , hAPP( 'c_Set_Oinsert'( X, Y ), Z ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 0.95/1.31 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Z, T ), X ), Y ) ) ) ],
% 0.95/1.31 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.95/1.31 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), hAPP( Y, U ) )
% 0.95/1.31 , U ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ), ~(
% 0.95/1.31 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.95/1.31 T, Z, X, U ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'( Z, T, X, U ),
% 0.95/1.31 hAPP( T, Y ) ), Y ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 0.95/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), X ), 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Z, Y ), X ), Y ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ), ~(
% 0.95/1.31 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ), X ) ],
% 0.95/1.31 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.95/1.31 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.95/1.31 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.95/1.31 ) ) ), =( X, Z ) ],
% 0.95/1.31 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.31 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.31 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.95/1.31 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.95/1.31 ), =( Y, W ) ],
% 0.95/1.31 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.95/1.31 Y, Z ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 0.95/1.31 Z, Y, Y ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z,
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.95/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.95/1.31 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T,
% 0.95/1.31 Z ), ~( 'c_lessequals'( U, hAPP( 'c_Set_Oimage'( Y, Z, T ), X ), 'tc_fun'(
% 0.95/1.31 T, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.95/1.31 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.95/1.31 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.95/1.31 ) ), Y ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.95/1.31 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.95/1.31 [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.95/1.31 , Y, Z, T ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.95/1.31 ), Y ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.95/1.31 , X ) ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.95/1.31 , X ) ) ), =( Y, Z ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.95/1.31 hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 0.95/1.31 ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 0.95/1.31 ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.95/1.31 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.95/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 0.95/1.31 Z, T, Y ) ) ],
% 0.95/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.95/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.95/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.95/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.95/1.31 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.95/1.31 , U ), =( X, T ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.95/1.31 , T ), =( X, T ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.95/1.31 , U ), =( Z, U ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.95/1.31 , T ), =( Z, U ) ],
% 0.95/1.31 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.95/1.31 'c_Set_Oinsert'( X, Y ), Z ), T, Y, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.95/1.31 'tc_bool' ) ), hAPP( T, X ) ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, Y, 'tc_fun'(
% 0.95/1.31 U, 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.95/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.95/1.31 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.95/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.95/1.31 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.95/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.95/1.31 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.95/1.31 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.31 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.95/1.31 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.95/1.31 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.95/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( Y, X ), Z ) ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.95/1.31 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), X ) ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T, 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.95/1.31 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.95/1.31 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.95/1.31 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.95/1.31 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.31 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.95/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.95/1.31 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.95/1.31 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.95/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.95/1.31 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.95/1.31 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.95/1.31 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.95/1.31 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.95/1.31 'tc_bool' ) ), Y, Z ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ),
% 0.95/1.31 hAPP( X, T ) ), T ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ =( X, hAPP( 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'(
% 0.95/1.31 Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( T,
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Y ), Z ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Z ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Z ) ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.95/1.31 , Y ) ],
% 0.95/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.95/1.31 , Y ) ],
% 0.95/1.31 [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP(
% 0.95/1.31 'c_Set_Oinsert'( X, Y ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.95/1.31 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.95/1.31 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.95/1.31 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple__valid'( X,
% 0.95/1.31 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ), 't_a' ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Option_Othe'( X ), 'c_Option_Ooption_OSome'( Y, X ) ), Y )
% 0.95/1.31 ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 0.95/1.31 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'tc_fun'( 't_b', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Y ), Z, 't_a',
% 0.95/1.31 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.95/1.31 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), T, 't_a',
% 0.95/1.31 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'( 'c_COMBS'(
% 0.95/1.31 'c_COMBS'( hAPP( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' )
% 0.95/1.31 , 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.95/1.31 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.95/1.31 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), W ),
% 0.95/1.31 Z, 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.95/1.31 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.95/1.31 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ) ),
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP( hAPP(
% 0.95/1.31 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( W,
% 0.95/1.31 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.95/1.31 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 0.95/1.31 V0, Z ) ) ), hAPP( V0, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'(
% 0.95/1.31 X, Y, W, T, V0, Z ) ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.95/1.31 't_b' ), 'tc_bool' ) ) ), 't_b' ), ~( 'c_Finite__Set_Ofinite'( U, 't_a' )
% 0.95/1.31 ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 0.95/1.31 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'tc_fun'( 't_b', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Y ), Z, 't_a',
% 0.95/1.31 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.95/1.31 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), T, 't_a',
% 0.95/1.31 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'( 'c_COMBS'(
% 0.95/1.31 'c_COMBS'( hAPP( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' )
% 0.95/1.31 , 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.95/1.31 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.95/1.31 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), W ),
% 0.95/1.31 Z, 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.95/1.31 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.95/1.31 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP( hAPP(
% 0.95/1.31 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( Y,
% 0.95/1.31 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.95/1.31 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 0.95/1.31 V0, Z ) ) ), hAPP( T, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X
% 0.95/1.31 , Y, W, T, V0, Z ) ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.95/1.31 't_b' ), 'tc_bool' ) ) ), 't_b' ) ), ~( 'c_Finite__Set_Ofinite'( U, 't_a'
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 0.95/1.31 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 0.95/1.31 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 0.95/1.31 'c_List_Ofoldl'( hAPP( 'c_COMBB'( 'c_COMBB'( Y, T, Z, V1 ), 'tc_fun'( V1
% 0.95/1.31 , T ), 'tc_fun'( V1, Z ), Z ), hAPP( 'c_COMBB'( U, T, 'tc_fun'( V1, T ),
% 0.95/1.31 Z ), X ) ), W, V0, Z, V1 ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( 't_b' ) ), =( hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 't_b' ) )
% 0.95/1.31 , 'v_f' ), 'v_g' ), 'v_x' ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 't_b' ), hAPP( 'v_f', 'v_x'
% 0.95/1.31 ) ), hAPP( 'v_g', 'v_x' ) ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.95/1.31 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.95/1.31 'c_Com_Ocom_OBODY', T ) ), U ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.95/1.31 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP(
% 0.95/1.31 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.95/1.31 Y ), Z ), hAPP( 'c_Com_Ocom_OBODY', T ) ), U ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), X ), hAPP( 'c_Set_Oinsert'( hAPP(
% 0.95/1.31 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.95/1.31 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.95/1.31 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.95/1.31 'c_Com_Ocom_OBODY', T ) ), U ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.95/1.31 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.95/1.31 hAPP( 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.95/1.31 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.95/1.31 'c_Com_Obody', X ) ), Y,
% 0.95/1.31 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( X, Z, Y, T ), T ),
% 0.95/1.31 ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z, T ) ) ],
% 0.95/1.31 [ 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, 'c_Suc'( Z ), T
% 0.95/1.31 ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.95/1.31 'c_Com_Obody', X ) ), Y, Z, T ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.95/1.31 'c_Nat_Osemiring__1__class_ONats'( X ) ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.95/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Oring__1__class_OInts'( X
% 0.95/1.31 ) ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.31 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.31 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.31 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.95/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.31 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.31 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.31 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.31 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.31 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.95/1.31 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.95/1.31 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.31 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.95/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.31 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.31 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Set__XimageE__1__1'( Z, X, Y, T, U
% 0.95/1.31 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), X ), hAPP( 'c_Set_Oimage'( Y,
% 0.95/1.31 T, U ), Z ) ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 0.95/1.31 ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.95/1.31 ), Y ), W ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Ximage__iff__1__1'( Y, Z, T, X, U ) ), Y ) ),
% 0.95/1.31 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), T ), hAPP( 'c_Set_Oimage'( Z, X, U ),
% 0.95/1.31 Y ) ) ) ) ],
% 0.95/1.31 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 0.95/1.31 , U ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( X, Z
% 0.95/1.31 , T ), Y ) ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( U, Y, Z
% 0.95/1.31 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( T, X, U, Y, Z ) ), T ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Set__Ximage__iff__1__1'( Z, Y, X,
% 0.95/1.31 T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), X ), hAPP( 'c_Set_Oimage'(
% 0.95/1.31 Y, T, U ), Z ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__XimageE__1__1'( Y, Z, T, X, U ) ), Y ) ), ~(
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Oimage'( T, X, U ), Y )
% 0.95/1.31 ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'(
% 0.95/1.31 Y, U, X ), W ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP(
% 0.95/1.31 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~(
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( T ), W ), hAPP( 'c_Set_Oimage'( Y, Z, T ), X )
% 0.95/1.31 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( Y,
% 0.95/1.31 Z, T ), X ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.95/1.31 Y, Z, X, T ), U ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( Z, X, T ), Y ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.95/1.31 Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 0.95/1.31 ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oinsert'( hAPP( X, Y ), Z ), hAPP( 'c_Set_Oimage'( X,
% 0.95/1.31 T, Z ), U ) ), hAPP( 'c_Set_Oimage'( X, T, Z ), U ) ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( T ), Y ), U ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.95/1.31 , ~( hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), U ), T ), X, Z ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.95/1.31 , ~( hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), T ), U ), X, Z ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.95/1.31 X ), U ), Z ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.95/1.31 X ), U ), Y ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.95/1.31 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.95/1.31 , U ), T ), X, Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.95/1.31 , U ), T ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.95/1.31 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.95/1.31 , T ), U ), X, Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.95/1.31 , T ), U ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), T ), U ) ) ) ), ~( hBOOL( hAPP( X,
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( U, X, Z ) ) ) ), ~( hBOOL(
% 0.95/1.31 hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( T, X, Z ) ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), T ), U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( U, X, Z ) ), U ) ), hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( T, X
% 0.95/1.31 , Z ) ), T ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( Y, Z, X ) ), Y ) ), hBOOL(
% 0.95/1.31 hAPP( Z, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( T, Z, X ) ) ), ~(
% 0.95/1.31 hBOOL( hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.95/1.31 'tc_bool' ) ), T ), Y ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( Y, X, Z ) )
% 0.95/1.31 ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( T, X, Z ) ), T ) ), ~( hBOOL(
% 0.95/1.31 hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.95/1.31 , T ), Y ) ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.95/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.95/1.31 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 0.95/1.31 , Z ), T ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( Y, X, Z ) )
% 0.95/1.31 ), hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( T, X, Z )
% 0.95/1.31 ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U )
% 0.95/1.31 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), T ), Y ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( Y, Z, X ) ), Y ) ), hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( T, Z
% 0.95/1.31 , X ) ), T ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.95/1.31 X ), U ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), T ), U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( U, X, Z ) ), U ) ), ~( hBOOL(
% 0.95/1.31 hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( T, X, Z ) ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.95/1.31 'tc_bool' ) ), T ), U ) ) ) ), ~( hBOOL( hAPP( X,
% 0.95/1.31 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( U, X, Z ) ) ) ), hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( T, X, Z )
% 0.95/1.31 ), T ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), T, Z ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( U, T, Y ),
% 0.95/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.95/1.31 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.95/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.95/1.31 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.95/1.31 , T ), U ), Y, Z ) ), =( T, U ) ],
% 0.95/1.31 [ =( 'c_Nat_Osize__class_Osize'( hAPP( 'c_Com_Ocom_OBODY', X ),
% 0.95/1.31 'tc_Com_Ocom' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31 [ =( 'c_Com_Ocom_Ocom__size'( hAPP( 'c_Com_Ocom_OBODY', X ) ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31 [ =( 'c_Nat_Osize__class_Osize'( hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y ), Z ), T ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.31 'tc_nat' ) ) ],
% 0.95/1.31 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__size'( X, hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), U ), Y ),
% 0.95/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.95/1.31 ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple__valid'( W, hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), T ), X ), 't_a' ) )
% 0.95/1.31 ],
% 0.95/1.31 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.95/1.31 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ) ), Z ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 0.95/1.31 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 0.95/1.31 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 't_a' ), 'v_x'
% 0.95/1.31 ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a',
% 0.95/1.31 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ) ), hAPP( 'c_COMBC'( 'c_in'(
% 0.95/1.31 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), Y ) ), 'v_x' )
% 0.95/1.31 , hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 'tc_bool'
% 0.95/1.31 ) ), X ), Y ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_COMBB'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.95/1.31 ), hAPP( 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_COMBS'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.95/1.31 hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.95/1.31 [ 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z ), ~(
% 0.95/1.31 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.95/1.31 'c_Com_Obody', X ) ), Y, Z ) ) ],
% 0.95/1.31 [ 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.95/1.31 'c_Com_Obody', X ) ), Y, Z ), ~( 'c_Natural_Oevalc'( hAPP(
% 0.95/1.31 'c_Com_Ocom_OBODY', X ), Y, Z ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.95/1.31 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), hAPP( Z, T ) ),
% 0.95/1.31 hAPP( 'c_Com_Ocom_OBODY', T ) ), hAPP( U, T ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.31 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.95/1.31 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Com_Opname' ), T ), W ) ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), X ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ),
% 0.95/1.31 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 0.95/1.31 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.95/1.31 Y ) ) ), U, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.95/1.31 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W ) ), hAPP( 'c_Set_Oimage'(
% 0.95/1.31 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ), hAPP(
% 0.95/1.31 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'tc_Option_Ooption'(
% 0.95/1.31 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'c_Com_Obody' ),
% 0.95/1.31 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U
% 0.95/1.31 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.95/1.31 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W ), Y ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.95/1.31 , T ) ), U ), Y ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP(
% 0.95/1.31 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.95/1.31 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y )
% 0.95/1.31 ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.95/1.31 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.95/1.31 , T ) ), U ), Y ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 0.95/1.31 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ),
% 0.95/1.31 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 0.95/1.31 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.95/1.31 Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.95/1.31 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), X ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ),
% 0.95/1.31 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 0.95/1.31 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.95/1.31 Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.95/1.31 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ) ), hAPP( 'c_Set_Oimage'(
% 0.95/1.31 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ), hAPP(
% 0.95/1.31 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'tc_Option_Ooption'(
% 0.95/1.31 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'c_Com_Obody' ),
% 0.95/1.31 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.95/1.31 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.95/1.31 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.95/1.31 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 0.95/1.31 ) ), hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, Y, Z, U ), T ), U, Z ), W
% 0.95/1.31 ) ) ],
% 0.95/1.31 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.95/1.31 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.95/1.31 U ), W ), V0 ) ) ), =( T, V0 ) ],
% 0.95/1.31 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.95/1.31 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.95/1.31 U ), W ), V0 ) ) ), =( Z, W ) ],
% 0.95/1.31 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.95/1.31 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.95/1.31 U ), W ), V0 ) ) ), =( Y, U ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.95/1.31 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , T ), Z ) ) ) ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.95/1.31 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.31 'tc_nat' ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.95/1.31 Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ), T ), X ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.95/1.31 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.95/1.31 ],
% 0.95/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.95/1.31 ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 0.95/1.31 ) ) ) ],
% 0.95/1.31 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.95/1.31 , W ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), T ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.95/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Z ), Y ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.95/1.31 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 0.95/1.31 , =( X, Y ) ],
% 0.95/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.95/1.31 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.95/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.95/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.95/1.31 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.95/1.31 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.95/1.31 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 0.95/1.31 ,
% 0.95/1.31 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.95/1.31 'v_x' ), hAPP( 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'tc_fun'( 't_a', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'tc_Com_Opname' ), 'v_P' ),
% 0.95/1.31 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.95/1.31 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'v_Q', 'tc_Com_Opname',
% 0.95/1.31 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Com_Opname',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_Procs' ) ) ) ],
% 0.95/1.31 [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.31 'tc_nat' ), 'v_x', 't_a' ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.31 'tc_nat' ), X, 't_a' ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X ), 'v_G' ) ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'tc_fun'( 't_a', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'tc_Com_Opname' ), 'v_P' ),
% 0.95/1.31 hAPP( 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'tc_Option_Ooption'(
% 0.95/1.31 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'c_Com_Obody' ),
% 0.95/1.31 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.95/1.31 ), 'v_Q', 'tc_Com_Opname', 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 0.95/1.31 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Com_Opname'
% 0.95/1.31 , 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_Procs' ) ) ) ), hBOOL(
% 0.95/1.31 hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_na'( X )
% 0.95/1.31 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 'v_G' ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'tc_fun'( 't_a', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'tc_Com_Opname' ), 'v_P' ),
% 0.95/1.31 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.95/1.31 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'v_Q', 'tc_Com_Opname',
% 0.95/1.31 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Com_Opname',
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_Procs' ) ) ) ) ],
% 0.95/1.31 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.95/1.31 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), hAPP(
% 0.95/1.31 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'tc_fun'( 't_a', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.95/1.31 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.95/1.31 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'tc_Com_Opname' ), 'v_P' ),
% 0.95/1.31 hAPP( 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'tc_Option_Ooption'(
% 0.95/1.31 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'c_Com_Obody' ),
% 0.95/1.31 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 0.95/1.31 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.95/1.31 ), 'v_Q', 'tc_Com_Opname', 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 0.95/1.31 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Com_Opname'
% 0.95/1.31 , 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_Procs' ) ) ) ), ~(
% 0.95/1.31 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_na'( X ), 't_a' ) ) ],
% 0.95/1.31 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.31 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.95/1.31 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.31 'class_Lattices_Olattice'( Y ) ) ],
% 0.95/1.31 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.31 'class_Lattices_Olattice'( Y ) ) ],
% 0.95/1.31 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.31 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.95/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.32 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.95/1.32 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.32 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.95/1.32 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.32 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.95/1.32 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.95/1.32 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.32 'class_Orderings_Opreorder'( Y ) ) ],
% 0.95/1.32 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.95/1.32 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.95/1.32 'class_Orderings_Oorder'( Y ) ) ],
% 0.95/1.32 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.95/1.32 Y ) ) ],
% 0.95/1.32 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.95/1.32 Y ) ) ],
% 0.95/1.32 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.95/1.32 ],
% 0.95/1.32 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.95/1.32 ,
% 0.95/1.32 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.95/1.32 ,
% 0.95/1.32 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.95/1.32 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.95/1.32 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 0.95/1.32 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.95/1.32 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.95/1.32 , W ) ) ) ],
% 0.95/1.32 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.95/1.32 U ) ) ],
% 0.95/1.32 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 0.95/1.32 ) ) ) ],
% 0.95/1.32 [ 'c_fequal'( X, X, Y ) ],
% 0.95/1.32 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.95/1.32 ] .
% 0.95/1.32
% 0.95/1.32
% 0.95/1.32 percentage equality = 0.303432, percentage horn = 0.911223
% 0.95/1.32 This is a problem with some equality
% 0.95/1.32
% 0.95/1.32
% 0.95/1.32
% 0.95/1.32 Options Used:
% 0.95/1.32
% 0.95/1.32 useres = 1
% 0.95/1.32 useparamod = 1
% 0.95/1.32 useeqrefl = 1
% 0.95/1.32 useeqfact = 1
% 0.95/1.32 usefactor = 1
% 0.95/1.32 usesimpsplitting = 0
% 0.95/1.32 usesimpdemod = 5
% 0.95/1.32 usesimpres = 3
% 0.95/1.32
% 0.95/1.32 resimpinuse = 1000
% 0.95/1.32 resimpclauses = 20000
% 0.95/1.32 substype = eqrewr
% 0.95/1.32 backwardsubs = 1
% 0.95/1.32 selectoldest = 5
% 0.95/1.32
% 0.95/1.32 litorderings [0] = split
% 0.95/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.95/1.32
% 0.95/1.32 termordering = kbo
% 0.95/1.32
% 0.95/1.32 litapriori = 0
% 0.95/1.32 termapriori = 1
% 0.95/1.32 litaposteriori = 0
% 0.95/1.32 termaposteriori = 0
% 0.95/1.32 demodaposteriori = 0
% 0.95/1.32 ordereqreflfact = 0
% 0.95/1.32
% 0.95/1.32 litselect = negord
% 0.95/1.32
% 0.95/1.32 maxweight = 15
% 0.95/1.32 maxdepth = 30000
% 0.95/1.32 maxlength = 115
% 0.95/1.32 maxnrvars = 195
% 0.95/1.32 excuselevel = 1
% 0.95/1.32 increasemaxweight = 1
% 0.95/1.32
% 0.95/1.32 maxselected = 10000000
% 0.95/1.32 maxnrclauses = 10000000
% 0.95/1.32
% 0.95/1.32 showgenerated = 0
% 0.95/1.32 showkept = 0
% 0.95/1.32 showselected = 0
% 0.95/1.32 showdeleted = 0
% 0.95/1.32 showresimp = 1
% 0.95/1.32 showstatus = 2000
% 0.95/1.32
% 0.95/1.32 prologoutput = 1
% 0.95/1.32 nrgoals = 5000000
% 0.95/1.32 totalproof = 1
% 0.95/1.32
% 0.95/1.32 Symbols occurring in the translation:
% 0.95/1.32
% 0.95/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.95/1.32 . [1, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.95/1.32 ! [4, 1] (w:0, o:114, a:1, s:1, b:0),
% 0.95/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.32 hAPP [42, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.95/1.32 'c_Fun_Ocomp' [46, 5] (w:1, o:234, a:1, s:1, b:0),
% 0.95/1.32 'tc_bool' [51, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.95/1.32 'tc_fun' [52, 2] (w:1, o:194, a:1, s:1, b:0),
% 0.95/1.32 'c_HOL_Ominus__class_Ominus' [53, 3] (w:1, o:208, a:1, s:1, b:0),
% 0.95/1.32 'c_Orderings_Obot__class_Obot' [54, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.95/1.32 'class_Lattices_Obounded__lattice' [55, 1] (w:1, o:121, a:1, s:1, b:0
% 0.95/1.32 ),
% 0.95/1.32 'c_Lattices_Olower__semilattice__class_Oinf' [56, 1] (w:1, o:122, a:1
% 0.95/1.32 , s:1, b:0),
% 0.95/1.32 'c_Finite__Set_Ofinite' [58, 2] (w:1, o:195, a:1, s:1, b:0),
% 0.95/1.32 'c_HOL_Ouminus__class_Ouminus' [59, 2] (w:1, o:196, a:1, s:1, b:0),
% 0.95/1.32 'c_Lattices_Oupper__semilattice__class_Osup' [60, 1] (w:1, o:123, a:1
% 0.95/1.32 , s:1, b:0),
% 0.95/1.32 'c_Set_Ovimage' [61, 3] (w:1, o:209, a:1, s:1, b:0),
% 0.95/1.32 'c_Orderings_Otop__class_Otop' [62, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.95/1.32 'class_Lattices_Olattice' [63, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.95/1.32 'class_Lattices_Olower__semilattice' [66, 1] (w:1, o:126, a:1, s:1
% 0.95/1.32 , b:0),
% 0.95/1.32 'c_Set_Oinsert' [67, 2] (w:1, o:197, a:1, s:1, b:0),
% 0.95/1.32 'c_Finite__Set_Ofold' [68, 5] (w:1, o:235, a:1, s:1, b:0),
% 0.95/1.32 'c_lessequals' [71, 3] (w:1, o:210, a:1, s:1, b:0),
% 0.95/1.32 'c_Com_Ocom_OSKIP' [72, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.95/1.32 'c_Natural_Oevalc' [74, 3] (w:1, o:211, a:1, s:1, b:0),
% 0.95/1.32 'c_Natural_Oevaln' [76, 4] (w:1, o:222, a:1, s:1, b:0),
% 0.95/1.32 'c_Com_Ocom_OSemi' [81, 2] (w:1, o:198, a:1, s:1, b:0),
% 0.95/1.32 'c_List_Oset' [83, 2] (w:1, o:199, a:1, s:1, b:0),
% 0.95/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [84, 4] (w:1
% 0.95/1.32 , o:223, a:1, s:1, b:0),
% 0.95/1.32 'c_COMBB' [85, 4] (w:1, o:224, a:1, s:1, b:0),
% 0.95/1.32 hBOOL [92, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.95/1.32 'class_OrderedGroup_Opordered__ab__group__add' [93, 1] (w:1, o:130
% 0.95/1.32 , a:1, s:1, b:0),
% 0.95/1.32 'c_Fun_Othe__inv__into' [95, 4] (w:1, o:225, a:1, s:1, b:0),
% 0.95/1.32 'c_Set_Oimage' [96, 3] (w:1, o:212, a:1, s:1, b:0),
% 0.95/1.32 'c_in' [97, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.95/1.32 'c_Fun_Oinj__on' [98, 4] (w:1, o:226, a:1, s:1, b:0),
% 0.95/1.32 'c_HOL_Ozero__class_Ozero' [99, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.95/1.32 'c_Finite__Set_Ocard' [100, 2] (w:1, o:200, a:1, s:1, b:0),
% 0.95/1.32 'class_OrderedGroup_Ogroup__add' [101, 1] (w:1, o:133, a:1, s:1, b:0)
% 0.95/1.32 ,
% 0.95/1.32 'class_OrderedGroup_Olordered__ab__group__add' [102, 1] (w:1, o:134
% 0.95/1.32 , a:1, s:1, b:0),
% 0.95/1.32 'tc_nat' [103, 0] (w:1, o:66, a:1, s:1, b:0),
% 0.95/1.32 'c_Suc' [104, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.95/1.32 'class_Lattices_Oboolean__algebra' [105, 1] (w:1, o:136, a:1, s:1, b:
% 0.95/1.32 0),
% 0.95/1.32 'class_HOL_Ouminus' [107, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.95/1.32 't_a' [108, 0] (w:1, o:67, a:1, s:1, b:0),
% 0.95/1.32 'v_x' [109, 0] (w:1, o:68, a:1, s:1, b:0),
% 0.95/1.32 'c_COMBK' [110, 3] (w:1, o:213, a:1, s:1, b:0),
% 0.95/1.32 'class_Ring__and__Field_Oring__1' [111, 1] (w:1, o:138, a:1, s:1, b:0
% 0.95/1.32 ),
% 0.95/1.32 'c_Int_Oring__1__class_OInts' [112, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.95/1.32 'c_Com_Ocom_Ocom__size' [113, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.95/1.32 'tc_Com_Ocom' [114, 0] (w:1, o:69, a:1, s:1, b:0),
% 0.95/1.32 'c_Nat_Osize__class_Osize' [115, 2] (w:1, o:201, a:1, s:1, b:0),
% 0.95/1.32 'c_Fun_Ofun__upd' [118, 5] (w:1, o:236, a:1, s:1, b:0),
% 0.95/1.32 'class_OrderedGroup_Oab__group__add' [119, 1] (w:1, o:142, a:1, s:1
% 0.95/1.32 , b:0),
% 0.95/1.32 'class_HOL_Ominus' [126, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.95/1.32 'class_Ring__and__Field_Oidom' [128, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.95/1.32
% 0.95/1.32 'class_Int_Onumber__ring' [129, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.95/1.32 'class_Lattices_Odistrib__lattice' [130, 1] (w:1, o:147, a:1, s:1, b:
% 3.33/3.70 0),
% 3.33/3.70 'c_Com_Ocom_OBODY' [132, 0] (w:1, o:74, a:1, s:1, b:0),
% 3.33/3.70 'class_Lattices_Oupper__semilattice' [135, 1] (w:1, o:148, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'c_Hilbert__Choice_Oinv__into' [137, 4] (w:1, o:227, a:1, s:1, b:0),
% 3.33/3.70
% 3.33/3.70 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1' [139, 4]
% 3.33/3.70 (w:1, o:228, a:1, s:1, b:0),
% 3.33/3.70 'v_f' [140, 0] (w:1, o:78, a:1, s:1, b:0),
% 3.33/3.70 'v_g' [141, 0] (w:1, o:79, a:1, s:1, b:0),
% 3.33/3.70 't_b' [142, 0] (w:1, o:80, a:1, s:1, b:0),
% 3.33/3.70 't_c' [143, 0] (w:1, o:81, a:1, s:1, b:0),
% 3.33/3.70 'class_Complete__Lattice_Ocomplete__lattice' [144, 1] (w:1, o:149, a:
% 3.33/3.70 1, s:1, b:0),
% 3.33/3.70 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2' [145, 5] (w:1, o:237
% 3.33/3.70 , a:1, s:1, b:0),
% 3.33/3.70 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1' [146, 4] (w:1, o:229
% 3.33/3.70 , a:1, s:1, b:0),
% 3.33/3.70 'c_Hoare__Mirabelle_Ohoare__valids' [149, 3] (w:1, o:214, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2' [150, 2] (w:1, o:
% 3.33/3.70 203, a:1, s:1, b:0),
% 3.33/3.70 'c_Hoare__Mirabelle_Otriple__valid' [151, 3] (w:1, o:215, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'tc_Hoare__Mirabelle_Otriple' [152, 1] (w:1, o:150, a:1, s:1, b:0),
% 3.33/3.70 'c_Hoare__Mirabelle_Otriple_Otriple' [153, 1] (w:1, o:139, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'c_Hoare__Mirabelle_Ohoare__derivs' [155, 3] (w:1, o:216, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'c_COMBC' [157, 4] (w:1, o:230, a:1, s:1, b:0),
% 3.33/3.70 'c_List_Ofoldl' [158, 5] (w:1, o:238, a:1, s:1, b:0),
% 3.33/3.70 'class_HOL_Oord' [159, 1] (w:1, o:145, a:1, s:1, b:0),
% 3.33/3.70 'class_Ring__and__Field_Oordered__semidom' [160, 1] (w:1, o:153, a:1
% 3.33/3.70 , s:1, b:0),
% 3.33/3.70 'c_Nat_Osemiring__1__class_Oof__nat' [162, 2] (w:1, o:204, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'c_Power_Opower__class_Opower' [163, 3] (w:1, o:217, a:1, s:1, b:0),
% 3.33/3.70
% 3.33/3.70 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1' [164, 4] (w:1
% 3.33/3.70 , o:231, a:1, s:1, b:0),
% 3.33/3.70 'class_Finite__Set_Ofinite_Ofinite' [165, 1] (w:1, o:154, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [166, 2] (w:1
% 3.33/3.70 , o:205, a:1, s:1, b:0),
% 3.33/3.70 'class_Orderings_Obot' [171, 1] (w:1, o:155, a:1, s:1, b:0),
% 3.33/3.70 'class_OrderedGroup_Oordered__ab__group__add' [172, 1] (w:1, o:129
% 3.33/3.70 , a:1, s:1, b:0),
% 3.33/3.70 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [173, 4] (w:1, o:232, a:1
% 3.33/3.70 , s:1, b:0),
% 3.33/3.70 'class_Ring__and__Field_Ozero__neq__one' [174, 1] (w:1, o:156, a:1
% 3.33/3.70 , s:1, b:0),
% 3.33/3.70 'class_Ring__and__Field_Ono__zero__divisors' [175, 1] (w:1, o:152, a:
% 3.33/3.70 1, s:1, b:0),
% 3.33/3.70 'class_Ring__and__Field_Omult__zero' [176, 1] (w:1, o:151, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'class_Power_Opower' [177, 1] (w:1, o:161, a:1, s:1, b:0),
% 3.33/3.70 'class_Ring__and__Field_Oring__1__no__zero__divisors' [178, 1] (w:1
% 3.33/3.70 , o:162, a:1, s:1, b:0),
% 3.33/3.70 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1' [180, 5] (w:1, o:239
% 3.33/3.70 , a:1, s:1, b:0),
% 3.33/3.70 'v_P' [181, 0] (w:1, o:93, a:1, s:1, b:0),
% 3.33/3.70 'v_Q' [182, 0] (w:1, o:95, a:1, s:1, b:0),
% 3.33/3.70 'v_R' [183, 0] (w:1, o:96, a:1, s:1, b:0),
% 3.33/3.70 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1' [185, 2] (w:1, o:
% 3.33/3.70 202, a:1, s:1, b:0),
% 3.33/3.70 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1' [186, 2] (w:1, o:
% 3.33/3.70 206, a:1, s:1, b:0),
% 3.33/3.70 'class_Ring__and__Field_Osemiring__1' [187, 1] (w:1, o:164, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'c_Nat_Osemiring__1__class_ONats' [188, 1] (w:1, o:119, a:1, s:1, b:0
% 3.33/3.70 ),
% 3.33/3.70 'class_Ring__and__Field_Osemiring__0' [189, 1] (w:1, o:163, a:1, s:1
% 3.33/3.70 , b:0),
% 3.33/3.70 'class_Nat_Osemiring__char__0' [191, 1] (w:1, o:128, a:1, s:1, b:0),
% 3.33/3.70
% 3.33/3.70 'c_Option_Ooption_OSome' [192, 2] (w:1, o:207, a:1, s:1, b:0),
% 3.33/3.70 'class_Orderings_Otop' [196, 1] (w:1, o:157, a:1, s:1, b:0),
% 3.33/3.70 'class_Orderings_Oorder' [197, 1] (w:1, o:158, a:1, s:1, b:0),
% 3.33/3.70 'class_Orderings_Opreorder' [199, 1] (w:1, o:159, a:1, s:1, b:0),
% 3.33/3.70 'class_Orderings_Olinorder' [200, 1] (w:1, o:160, a:1, s:1, b:0),
% 3.33/3.70 'c_Option_Othe' [202, 1] (w:1, o:165, a:1, s:1, b:0),
% 3.33/3.70 'tc_Com_Ostate' [203, 0] (w:1, o:102, a:1, s:1, b:0),
% 3.33/3.70 'c_COMBS' [204, 5] (w:1, o:240, a:1, s:1, b:0),
% 10.43/10.84 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1' [208, 6] (w:1, o:243
% 10.43/10.84 , a:1, s:1, b:0),
% 10.43/10.84 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [209, 4] (w:1, o:233
% 10.43/10.84 , a:1, s:1, b:0),
% 10.43/10.84 'c_Com_Obody' [211, 0] (w:1, o:46, a:1, s:1, b:0),
% 10.43/10.84 'c_ATP__Linkup_Osko__Set__XimageE__1__1' [212, 5] (w:1, o:241, a:1
% 10.43/10.84 , s:1, b:0),
% 10.43/10.84 'c_ATP__Linkup_Osko__Set__Ximage__iff__1__1' [213, 5] (w:1, o:242, a:
% 10.43/10.84 1, s:1, b:0),
% 10.43/10.84 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3' [215, 3] (w:1, o:218, a:1
% 10.43/10.84 , s:1, b:0),
% 10.43/10.84 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2' [220, 3] (w:1, o:219, a:1
% 10.43/10.84 , s:1, b:0),
% 10.43/10.84 'c_Hoare__Mirabelle_Otriple_Otriple__size' [228, 3] (w:1, o:220, a:1
% 10.43/10.84 , s:1, b:0),
% 10.43/10.84 'tc_Com_Opname' [230, 0] (w:1, o:109, a:1, s:1, b:0),
% 10.43/10.84 'tc_Option_Ooption' [232, 1] (w:1, o:166, a:1, s:1, b:0),
% 10.43/10.84 'v_Procs' [236, 0] (w:1, o:94, a:1, s:1, b:0),
% 10.43/10.84 'v_G' [237, 0] (w:1, o:110, a:1, s:1, b:0),
% 10.43/10.84 'v_na' [238, 1] (w:1, o:167, a:1, s:1, b:0),
% 10.43/10.84 'c_fequal' [242, 3] (w:1, o:221, a:1, s:1, b:0).
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Starting Search:
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 7061
% 10.43/10.84 Kept: 2780
% 10.43/10.84 Inuse: 209
% 10.43/10.84 Deleted: 3
% 10.43/10.84 Deletedinuse: 0
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 13271
% 10.43/10.84 Kept: 5551
% 10.43/10.84 Inuse: 308
% 10.43/10.84 Deleted: 6
% 10.43/10.84 Deletedinuse: 1
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 19398
% 10.43/10.84 Kept: 7604
% 10.43/10.84 Inuse: 404
% 10.43/10.84 Deleted: 12
% 10.43/10.84 Deletedinuse: 5
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 26670
% 10.43/10.84 Kept: 9685
% 10.43/10.84 Inuse: 471
% 10.43/10.84 Deleted: 15
% 10.43/10.84 Deletedinuse: 5
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 33674
% 10.43/10.84 Kept: 11691
% 10.43/10.84 Inuse: 508
% 10.43/10.84 Deleted: 15
% 10.43/10.84 Deletedinuse: 5
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 37108
% 10.43/10.84 Kept: 13963
% 10.43/10.84 Inuse: 512
% 10.43/10.84 Deleted: 15
% 10.43/10.84 Deletedinuse: 5
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 42651
% 10.43/10.84 Kept: 15971
% 10.43/10.84 Inuse: 587
% 10.43/10.84 Deleted: 17
% 10.43/10.84 Deletedinuse: 5
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 49534
% 10.43/10.84 Kept: 18135
% 10.43/10.84 Inuse: 648
% 10.43/10.84 Deleted: 18
% 10.43/10.84 Deletedinuse: 5
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 59140
% 10.43/10.84 Kept: 21913
% 10.43/10.84 Inuse: 678
% 10.43/10.84 Deleted: 18
% 10.43/10.84 Deletedinuse: 5
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying clauses:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 63375
% 10.43/10.84 Kept: 24086
% 10.43/10.84 Inuse: 683
% 10.43/10.84 Deleted: 231
% 10.43/10.84 Deletedinuse: 5
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 68588
% 10.43/10.84 Kept: 26098
% 10.43/10.84 Inuse: 730
% 10.43/10.84 Deleted: 233
% 10.43/10.84 Deletedinuse: 7
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 73941
% 10.43/10.84 Kept: 28099
% 10.43/10.84 Inuse: 754
% 10.43/10.84 Deleted: 233
% 10.43/10.84 Deletedinuse: 7
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 79591
% 10.43/10.84 Kept: 30243
% 10.43/10.84 Inuse: 783
% 10.43/10.84 Deleted: 235
% 10.43/10.84 Deletedinuse: 9
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 86153
% 10.43/10.84 Kept: 32262
% 10.43/10.84 Inuse: 798
% 10.43/10.84 Deleted: 235
% 10.43/10.84 Deletedinuse: 9
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 92530
% 10.43/10.84 Kept: 34340
% 10.43/10.84 Inuse: 838
% 10.43/10.84 Deleted: 235
% 10.43/10.84 Deletedinuse: 9
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 100606
% 10.43/10.84 Kept: 37080
% 10.43/10.84 Inuse: 868
% 10.43/10.84 Deleted: 235
% 10.43/10.84 Deletedinuse: 9
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 107006
% 10.43/10.84 Kept: 39185
% 10.43/10.84 Inuse: 898
% 10.43/10.84 Deleted: 235
% 10.43/10.84 Deletedinuse: 9
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84
% 10.43/10.84 Intermediate Status:
% 10.43/10.84 Generated: 113870
% 10.43/10.84 Kept: 41397
% 10.43/10.84 Inuse: 928
% 10.43/10.84 Deleted: 235
% 10.43/10.84 Deletedinuse: 9
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying clauses:
% 10.43/10.84 Done
% 10.43/10.84
% 10.43/10.84 Resimplifying inuse:
% 10.43/10.84 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 119648
% 44.04/44.44 Kept: 43410
% 44.04/44.44 Inuse: 962
% 44.04/44.44 Deleted: 338
% 44.04/44.44 Deletedinuse: 9
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 130631
% 44.04/44.44 Kept: 46552
% 44.04/44.44 Inuse: 974
% 44.04/44.44 Deleted: 338
% 44.04/44.44 Deletedinuse: 9
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 139025
% 44.04/44.44 Kept: 49341
% 44.04/44.44 Inuse: 1003
% 44.04/44.44 Deleted: 339
% 44.04/44.44 Deletedinuse: 10
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 151395
% 44.04/44.44 Kept: 51443
% 44.04/44.44 Inuse: 1023
% 44.04/44.44 Deleted: 339
% 44.04/44.44 Deletedinuse: 10
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 158348
% 44.04/44.44 Kept: 53615
% 44.04/44.44 Inuse: 1043
% 44.04/44.44 Deleted: 341
% 44.04/44.44 Deletedinuse: 12
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 170087
% 44.04/44.44 Kept: 55868
% 44.04/44.44 Inuse: 1067
% 44.04/44.44 Deleted: 343
% 44.04/44.44 Deletedinuse: 13
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 177649
% 44.04/44.44 Kept: 57898
% 44.04/44.44 Inuse: 1114
% 44.04/44.44 Deleted: 344
% 44.04/44.44 Deletedinuse: 13
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 187617
% 44.04/44.44 Kept: 60768
% 44.04/44.44 Inuse: 1126
% 44.04/44.44 Deleted: 344
% 44.04/44.44 Deletedinuse: 13
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying clauses:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 194669
% 44.04/44.44 Kept: 62927
% 44.04/44.44 Inuse: 1156
% 44.04/44.44 Deleted: 727
% 44.04/44.44 Deletedinuse: 13
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 202075
% 44.04/44.44 Kept: 64964
% 44.04/44.44 Inuse: 1196
% 44.04/44.44 Deleted: 727
% 44.04/44.44 Deletedinuse: 13
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 215493
% 44.04/44.44 Kept: 68532
% 44.04/44.44 Inuse: 1221
% 44.04/44.44 Deleted: 727
% 44.04/44.44 Deletedinuse: 13
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 230750
% 44.04/44.44 Kept: 70850
% 44.04/44.44 Inuse: 1236
% 44.04/44.44 Deleted: 727
% 44.04/44.44 Deletedinuse: 13
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 254180
% 44.04/44.44 Kept: 74026
% 44.04/44.44 Inuse: 1246
% 44.04/44.44 Deleted: 728
% 44.04/44.44 Deletedinuse: 14
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 260537
% 44.04/44.44 Kept: 76089
% 44.04/44.44 Inuse: 1261
% 44.04/44.44 Deleted: 728
% 44.04/44.44 Deletedinuse: 14
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 270389
% 44.04/44.44 Kept: 79014
% 44.04/44.44 Inuse: 1281
% 44.04/44.44 Deleted: 728
% 44.04/44.44 Deletedinuse: 14
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 281586
% 44.04/44.44 Kept: 82645
% 44.04/44.44 Inuse: 1291
% 44.04/44.44 Deleted: 728
% 44.04/44.44 Deletedinuse: 14
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying clauses:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 289180
% 44.04/44.44 Kept: 85183
% 44.04/44.44 Inuse: 1301
% 44.04/44.44 Deleted: 1007
% 44.04/44.44 Deletedinuse: 14
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 295569
% 44.04/44.44 Kept: 87326
% 44.04/44.44 Inuse: 1321
% 44.04/44.44 Deleted: 1007
% 44.04/44.44 Deletedinuse: 14
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 303510
% 44.04/44.44 Kept: 89450
% 44.04/44.44 Inuse: 1351
% 44.04/44.44 Deleted: 1007
% 44.04/44.44 Deletedinuse: 14
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 310691
% 44.04/44.44 Kept: 91485
% 44.04/44.44 Inuse: 1381
% 44.04/44.44 Deleted: 1007
% 44.04/44.44 Deletedinuse: 14
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 320950
% 44.04/44.44 Kept: 93950
% 44.04/44.44 Inuse: 1401
% 44.04/44.44 Deleted: 1008
% 44.04/44.44 Deletedinuse: 15
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 328610
% 44.04/44.44 Kept: 96157
% 44.04/44.44 Inuse: 1411
% 44.04/44.44 Deleted: 1008
% 44.04/44.44 Deletedinuse: 15
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 336416
% 44.04/44.44 Kept: 98498
% 44.04/44.44 Inuse: 1421
% 44.04/44.44 Deleted: 1008
% 44.04/44.44 Deletedinuse: 15
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 341239
% 44.04/44.44 Kept: 100515
% 44.04/44.44 Inuse: 1436
% 44.04/44.44 Deleted: 1008
% 44.04/44.44 Deletedinuse: 15
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44 Resimplifying inuse:
% 44.04/44.44 Done
% 44.04/44.44
% 44.04/44.44
% 44.04/44.44 Intermediate Status:
% 44.04/44.44 Generated: 349777
% 44.04/44.44 Kept: 102717
% 44.04/44.44 Inuse: 1456
% 44.04/44.44 Deleted: 1008
% 95.02/95.42 Deletedinuse: 15
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying clauses:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 356288
% 95.02/95.42 Kept: 104968
% 95.02/95.42 Inuse: 1471
% 95.02/95.42 Deleted: 1160
% 95.02/95.42 Deletedinuse: 15
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 372193
% 95.02/95.42 Kept: 107012
% 95.02/95.42 Inuse: 1493
% 95.02/95.42 Deleted: 1163
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 378942
% 95.02/95.42 Kept: 109301
% 95.02/95.42 Inuse: 1509
% 95.02/95.42 Deleted: 1163
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 392235
% 95.02/95.42 Kept: 112563
% 95.02/95.42 Inuse: 1529
% 95.02/95.42 Deleted: 1163
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 400552
% 95.02/95.42 Kept: 114569
% 95.02/95.42 Inuse: 1538
% 95.02/95.42 Deleted: 1163
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 408123
% 95.02/95.42 Kept: 116823
% 95.02/95.42 Inuse: 1559
% 95.02/95.42 Deleted: 1163
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 416537
% 95.02/95.42 Kept: 118846
% 95.02/95.42 Inuse: 1589
% 95.02/95.42 Deleted: 1163
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 438586
% 95.02/95.42 Kept: 123820
% 95.02/95.42 Inuse: 1614
% 95.02/95.42 Deleted: 1163
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying clauses:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 446525
% 95.02/95.42 Kept: 125869
% 95.02/95.42 Inuse: 1627
% 95.02/95.42 Deleted: 1676
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 451809
% 95.02/95.42 Kept: 127966
% 95.02/95.42 Inuse: 1637
% 95.02/95.42 Deleted: 1676
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 456950
% 95.02/95.42 Kept: 130102
% 95.02/95.42 Inuse: 1648
% 95.02/95.42 Deleted: 1676
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 470941
% 95.02/95.42 Kept: 132297
% 95.02/95.42 Inuse: 1649
% 95.02/95.42 Deleted: 1676
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 490063
% 95.02/95.42 Kept: 137543
% 95.02/95.42 Inuse: 1654
% 95.02/95.42 Deleted: 1676
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 520278
% 95.02/95.42 Kept: 141251
% 95.02/95.42 Inuse: 1664
% 95.02/95.42 Deleted: 1676
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 540080
% 95.02/95.42 Kept: 143947
% 95.02/95.42 Inuse: 1674
% 95.02/95.42 Deleted: 1676
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying clauses:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 554182
% 95.02/95.42 Kept: 146900
% 95.02/95.42 Inuse: 1689
% 95.02/95.42 Deleted: 1713
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 583270
% 95.02/95.42 Kept: 149796
% 95.02/95.42 Inuse: 1705
% 95.02/95.42 Deleted: 1717
% 95.02/95.42 Deletedinuse: 16
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 610387
% 95.02/95.42 Kept: 152152
% 95.02/95.42 Inuse: 1710
% 95.02/95.42 Deleted: 1719
% 95.02/95.42 Deletedinuse: 18
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 631470
% 95.02/95.42 Kept: 155524
% 95.02/95.42 Inuse: 1726
% 95.02/95.42 Deleted: 1727
% 95.02/95.42 Deletedinuse: 22
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 648099
% 95.02/95.42 Kept: 158751
% 95.02/95.42 Inuse: 1730
% 95.02/95.42 Deleted: 1728
% 95.02/95.42 Deletedinuse: 22
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 664840
% 95.02/95.42 Kept: 160753
% 95.02/95.42 Inuse: 1738
% 95.02/95.42 Deleted: 1728
% 95.02/95.42 Deletedinuse: 22
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 720181
% 95.02/95.42 Kept: 167523
% 95.02/95.42 Inuse: 1740
% 95.02/95.42 Deleted: 1728
% 95.02/95.42 Deletedinuse: 22
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying clauses:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 778969
% 95.02/95.42 Kept: 174469
% 95.02/95.42 Inuse: 1745
% 95.02/95.42 Deleted: 2132
% 95.02/95.42 Deletedinuse: 22
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42
% 95.02/95.42 Intermediate Status:
% 95.02/95.42 Generated: 792728
% 95.02/95.42 Kept: 177656
% 95.02/95.42 Inuse: 1765
% 95.02/95.42 Deleted: 2132
% 95.02/95.42 Deletedinuse: 22
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 95.02/95.42 Done
% 95.02/95.42
% 95.02/95.42 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 805902
% 230.12/230.51 Kept: 180056
% 230.12/230.51 Inuse: 1794
% 230.12/230.51 Deleted: 2135
% 230.12/230.51 Deletedinuse: 24
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 819990
% 230.12/230.51 Kept: 182109
% 230.12/230.51 Inuse: 1815
% 230.12/230.51 Deleted: 2135
% 230.12/230.51 Deletedinuse: 24
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 829793
% 230.12/230.51 Kept: 184132
% 230.12/230.51 Inuse: 1834
% 230.12/230.51 Deleted: 2135
% 230.12/230.51 Deletedinuse: 24
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 851908
% 230.12/230.51 Kept: 187660
% 230.12/230.51 Inuse: 1839
% 230.12/230.51 Deleted: 2135
% 230.12/230.51 Deletedinuse: 24
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying clauses:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 871382
% 230.12/230.51 Kept: 191574
% 230.12/230.51 Inuse: 1854
% 230.12/230.51 Deleted: 2415
% 230.12/230.51 Deletedinuse: 25
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 889535
% 230.12/230.51 Kept: 195570
% 230.12/230.51 Inuse: 1879
% 230.12/230.51 Deleted: 2416
% 230.12/230.51 Deletedinuse: 26
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 902030
% 230.12/230.51 Kept: 197954
% 230.12/230.51 Inuse: 1884
% 230.12/230.51 Deleted: 2416
% 230.12/230.51 Deletedinuse: 26
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 910064
% 230.12/230.51 Kept: 200910
% 230.12/230.51 Inuse: 1894
% 230.12/230.51 Deleted: 2417
% 230.12/230.51 Deletedinuse: 27
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 915638
% 230.12/230.51 Kept: 203098
% 230.12/230.51 Inuse: 1904
% 230.12/230.51 Deleted: 2419
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 929934
% 230.12/230.51 Kept: 206691
% 230.12/230.51 Inuse: 1924
% 230.12/230.51 Deleted: 2419
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying clauses:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 939474
% 230.12/230.51 Kept: 208715
% 230.12/230.51 Inuse: 1930
% 230.12/230.51 Deleted: 2443
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 952178
% 230.12/230.51 Kept: 211634
% 230.12/230.51 Inuse: 1944
% 230.12/230.51 Deleted: 2443
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 960492
% 230.12/230.51 Kept: 214148
% 230.12/230.51 Inuse: 1959
% 230.12/230.51 Deleted: 2443
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 966319
% 230.12/230.51 Kept: 216154
% 230.12/230.51 Inuse: 1970
% 230.12/230.51 Deleted: 2443
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 973937
% 230.12/230.51 Kept: 219169
% 230.12/230.51 Inuse: 1984
% 230.12/230.51 Deleted: 2443
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 997170
% 230.12/230.51 Kept: 221618
% 230.12/230.51 Inuse: 1989
% 230.12/230.51 Deleted: 2443
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 1004190
% 230.12/230.51 Kept: 224269
% 230.12/230.51 Inuse: 2004
% 230.12/230.51 Deleted: 2443
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 1010538
% 230.12/230.51 Kept: 226635
% 230.12/230.51 Inuse: 2014
% 230.12/230.51 Deleted: 2443
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 1018728
% 230.12/230.51 Kept: 229117
% 230.12/230.51 Inuse: 2024
% 230.12/230.51 Deleted: 2443
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying clauses:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 1027902
% 230.12/230.51 Kept: 231749
% 230.12/230.51 Inuse: 2034
% 230.12/230.51 Deleted: 2617
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 1038368
% 230.12/230.51 Kept: 234680
% 230.12/230.51 Inuse: 2044
% 230.12/230.51 Deleted: 2617
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 1048891
% 230.12/230.51 Kept: 237628
% 230.12/230.51 Inuse: 2054
% 230.12/230.51 Deleted: 2617
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 1057981
% 230.12/230.51 Kept: 240026
% 230.12/230.51 Inuse: 2064
% 230.12/230.51 Deleted: 2617
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 Generated: 1069012
% 230.12/230.51 Kept: 243058
% 230.12/230.51 Inuse: 2074
% 230.12/230.51 Deleted: 2617
% 230.12/230.51 Deletedinuse: 29
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51 Resimplifying inuse:
% 230.12/230.51 Done
% 230.12/230.51
% 230.12/230.51
% 230.12/230.51 Intermediate Status:
% 230.12/230.51 GeneratedCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------