TSTP Solution File: SWV902-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV902-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 16:29:07 EDT 2022
% Result : Timeout 300.10s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV902-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n003.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 : Thu Jun 16 06:05:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.93/1.33 *** allocated 10000 integers for termspace/termends
% 0.93/1.33 *** allocated 10000 integers for clauses
% 0.93/1.33 *** allocated 10000 integers for justifications
% 0.93/1.33 *** allocated 15000 integers for termspace/termends
% 0.93/1.33 *** allocated 22500 integers for termspace/termends
% 0.93/1.33 Bliksem 1.12
% 0.93/1.33
% 0.93/1.33
% 0.93/1.33 Automatic Strategy Selection
% 0.93/1.33
% 0.93/1.33 Clauses:
% 0.93/1.33 [
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Z ), Y ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ), X ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), T ), Y ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ =( 'c_Option_Oset'( 'c_Option_Ooption_ONone'( X ), X ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), ~( =( hAPP(
% 0.93/1.33 U, Y ), 'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( 'c_Map_Omap__add'( X
% 0.93/1.33 , U, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 0.93/1.33 ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.33 [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ),
% 0.93/1.33 'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( X, U ),
% 0.93/1.33 'c_Option_Ooption_ONone'( T ) ) ],
% 0.93/1.33 [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ),
% 0.93/1.33 'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( Y, U ),
% 0.93/1.33 'c_Option_Ooption_ONone'( T ) ) ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.93/1.33 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.93/1.33 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.93/1.33 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.93/1.33 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.93/1.33 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T, U ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.93/1.33 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 0.93/1.33 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.93/1.33 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.93/1.33 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.33 , X ), X ), X ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.33 , X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.33 , X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 , 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 Z, X ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 Z, X ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 0.93/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_Finite__Set_Ofinite'( Y, X ) ), ~(
% 0.93/1.33 'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =(
% 0.93/1.33 'c_Finite__Set_Ofold1'( T, 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 Y, Z, 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( hAPP( T,
% 0.93/1.33 'c_Finite__Set_Ofold1'( T, Y, X ) ), 'c_Finite__Set_Ofold1'( T, Z, X ) )
% 0.93/1.33 ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.93/1.33 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.93/1.33 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( =( hAPP( T,
% 0.93/1.33 Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( hAPP( 'c_Map_Omap__add'( X, T
% 0.93/1.33 , U, Z ), Y ), 'c_Option_Ooption_ONone'( Z ) ) ],
% 0.93/1.33 [ =( hAPP( 'c_Hoare__Mirabelle_OMGT', X ), hAPP( hAPP( hAPP(
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 0.93/1.33 'tc_Com_Ostate' ) ), X ), 'c_Natural_Oevalc'( X ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.33 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 , X ), Y ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 , T ), X ), Y ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 , X ), T ), Y ) ) ) ],
% 0.93/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Z, T ) ) ],
% 0.93/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Z, T ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 0.93/1.33 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( Y, X, Z, T ), Z, T ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.93/1.33 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.33 ), Y ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.33 ), Y ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.33 ), Y ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.33 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ), U, Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.33 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_Map_Omap__le'( 'c_Map_Omap__add'( X, Y, Z, T ), U, Z, T ), ~(
% 0.93/1.33 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ), ~(
% 0.93/1.33 'c_Map_Omap__le'( Y, U, Z, T ) ), ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.93/1.33 Z, Y ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.33 , T, X ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , T, X ) ) ), =( Y, Z ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.93/1.33 'tc_fun'( U, 'tc_bool' ) ), U, X ) ), 'c_Set_Oimage'( Y,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.93/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_Fun_Oinj__on'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T,
% 0.93/1.33 'tc_fun'( U, 'tc_bool' ) ), U, X ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.93/1.33 , 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U,
% 0.93/1.33 'tc_bool' ) ), U, X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, T, U, X ) ), ~(
% 0.93/1.33 'c_Fun_Oinj__on'( Y, Z, U, X ) ), 'c_Fun_Oinj__on'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( U,
% 0.93/1.33 'tc_bool' ) ), U, X ) ],
% 0.93/1.33 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.93/1.33 , W ) ) ) ],
% 0.93/1.33 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.93/1.33 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), X ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 0.93/1.33 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T
% 0.93/1.33 , 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ), T ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.93/1.33 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.93/1.33 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.93/1.33 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.93/1.33 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.93/1.33 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.93/1.33 , V2, Z, Y ) ) ],
% 0.93/1.33 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.93/1.33 , Z, V2, Y ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.93/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.33 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.93/1.33 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.93/1.33 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 0.93/1.33 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Z, T ) ) ],
% 0.93/1.33 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.33 ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.93/1.33 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( 'c_Map_Omap__add'(
% 0.93/1.33 U, X, Z, T ), Y, Z, T ) ) ],
% 0.93/1.33 [ 'c_Map_Omap__le'( X, X, Y, Z ) ],
% 0.93/1.33 [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U, Y, Z, T ) ),
% 0.93/1.33 ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ],
% 0.93/1.33 [ =( 'c_Map_Odom'( 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Map_Odom'( Y, Z, T ),
% 0.93/1.33 'c_Map_Odom'( X, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.93/1.33 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.93/1.33 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.93/1.33 U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.93/1.33 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.33 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.93/1.33 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), Y, U ) ) ],
% 0.93/1.33 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.93/1.33 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Map_Omap__add'( X, 'c_Map_Omap__add'( Y, Z, T, U ), T, U ),
% 0.93/1.33 'c_Map_Omap__add'( 'c_Map_Omap__add'( X, Y, T, U ), Z, T, U ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.93/1.33 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.93/1.33 , U ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.93/1.33 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.93/1.33 , U ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.93/1.33 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.93/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.93/1.33 Y, Z ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), T ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.93/1.33 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.33 , X ), X ) ) ],
% 0.93/1.33 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.93/1.33 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.33 [ =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T ) )
% 0.93/1.33 , ~( 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T )
% 0.93/1.33 ) ), 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.93/1.33 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.33 ) ) ), Y ), Y ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), Y ) ],
% 0.93/1.33 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), X ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Otop__class_Otop'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), Y ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.33 ), Y ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.33 , X ) ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.33 , X ) ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.93/1.33 Z ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.93/1.33 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.93/1.33 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.93/1.33 [ ~( =( 'c_Option_Oset'( X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Option_Ooption_ONone'( Y ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.93/1.33 Z, Y ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.93/1.33 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.93/1.33 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.93/1.33 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.93/1.33 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), Y ) ) ],
% 0.93/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.93/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 , T ), Y ), Z ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 , Y ), T ), Z ) ) ) ],
% 0.93/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.93/1.33 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.93/1.33 U, W ) ) ],
% 0.93/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.93/1.33 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.93/1.33 =( Y, Z ) ],
% 0.93/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.93/1.33 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.93/1.33 =( Y, Z ) ],
% 0.93/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.93/1.33 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.93/1.33 , U ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.93/1.33 ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.93/1.33 ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.93/1.33 , T ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.93/1.33 , T ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X,
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.93/1.33 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.93/1.33 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X,
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.93/1.33 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.93/1.33 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.93/1.33 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.93/1.33 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.93/1.33 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.93/1.33 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.93/1.33 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.93/1.33 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.93/1.33 , V3, V4, U ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.93/1.33 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.93/1.33 , V3, V4, U ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.93/1.33 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.93/1.33 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.93/1.33 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.93/1.33 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.93/1.33 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.33 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 T, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.33 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.93/1.33 Y, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.33 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 T, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.33 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.93/1.33 Y, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.93/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.33 , X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.33 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.93/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.93/1.33 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.93/1.33 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.93/1.33 'c_in'( X, T, Y ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.93/1.33 hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ),
% 0.93/1.33 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.33 ), =( Z, Y ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 0.93/1.33 , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 0.93/1.33 [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~( 'c_Map_Omap__le'( X
% 0.93/1.33 , Y, Z, T ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), Y ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), X ), Y ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.93/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.33 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.93/1.33 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.93/1.33 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.93/1.33 U ), W ), V0 ) ) ), =( Y, U ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.93/1.33 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.93/1.33 U ), W ), V0 ) ) ), =( Z, W ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.93/1.33 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.93/1.33 U ), W ), V0 ) ) ), =( T, V0 ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.93/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 0.93/1.33 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.93/1.33 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ),
% 0.93/1.33 'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( Y, U ),
% 0.93/1.33 'c_Option_Ooption_ONone'( T ) ), =( hAPP( Y, U ),
% 0.93/1.33 'c_Option_Ooption_OSome'( W, T ) ) ],
% 0.93/1.33 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.93/1.33 Y, 'v_x' ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T,
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.93/1.33 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.93/1.33 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.93/1.33 , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T, 'tc_bool' ) )
% 0.93/1.33 , 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 0.93/1.33 'c_in'( X, Z, Y ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 Y, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.93/1.33 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.33 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.93/1.33 X, T, U ), Z ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.93/1.33 hAPP( X, U ) ) ) ) ],
% 0.93/1.33 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.93/1.33 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.93/1.33 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.93/1.33 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 Z, X ) ), X ) ) ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.93/1.33 'c_in'( X, T, Y ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL(
% 0.93/1.33 'c_Predicate_Oinv__imagep'( X, Y, Z, T, U, W ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_Predicate_Oinv__imagep'( X, Y, Z, T, U, W ) ), ~( hBOOL(
% 0.93/1.33 hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.93/1.33 ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.33 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.93/1.33 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.33 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.93/1.33 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.33 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.93/1.33 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 0.93/1.33 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 0.93/1.33 ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.93/1.33 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z,
% 0.93/1.33 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.93/1.33 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.93/1.33 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.93/1.33 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.93/1.33 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.93/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.93/1.33 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.93/1.33 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.93/1.33 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.93/1.33 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.93/1.33 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.93/1.33 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.93/1.33 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.93/1.33 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.93/1.33 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.93/1.33 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.93/1.33 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.93/1.33 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.93/1.33 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.93/1.33 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.93/1.33 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname',
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.93/1.33 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.93/1.33 Z, Y, X ) ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.93/1.33 Y, Z, X ) ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.93/1.33 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.93/1.33 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.93/1.33 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.93/1.33 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.93/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.93/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.93/1.33 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.93/1.33 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.33 X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.93/1.33 , T, X ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.93/1.33 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.93/1.33 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.93/1.33 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.93/1.33 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.93/1.33 T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.33 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.93/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.93/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Y,
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_lessequals'( T, hAPP( Y, T ),
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( hAPP( X, Y ),
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.93/1.33 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.93/1.33 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.93/1.33 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), hAPP(
% 0.93/1.33 hAPP( X, Y ), 'c_Finite__Set_Ofold1'( X, Z, T ) ) ), hBOOL( 'c_in'( Y, Z
% 0.93/1.33 , T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), =( Z,
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.93/1.33 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.93/1.33 'c_Finite__Set_Ocard'( X, Z ) ), hBOOL( 'c_in'( Y, X, Z ) ), ~(
% 0.93/1.33 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'(
% 0.93/1.33 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.93/1.33 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 0.93/1.33 X, T ), T ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.33 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.93/1.33 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.93/1.33 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.33 T, 'tc_bool' ) ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.33 'c_Set_Oinsert'( Y, Z, T ), T, U ) ) ],
% 0.93/1.33 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'(
% 0.93/1.33 hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.93/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~(
% 0.93/1.33 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.93/1.33 [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 0.93/1.33 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.33 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.33 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.93/1.33 , 'tc_bool' ) ), Z ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.33 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.93/1.33 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.93/1.33 , 'tc_bool' ) ), T ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.93/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), Y ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), Y ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.93/1.33 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.93/1.33 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.33 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.93/1.33 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.93/1.33 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.33 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.93/1.33 , V2, Z, Y ) ) ],
% 0.93/1.33 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.93/1.33 , Z, V2, Y ) ) ],
% 0.93/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.93/1.33 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.93/1.33 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.93/1.33 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), X ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ) ],
% 0.93/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.33 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), Y, Z ) ],
% 0.93/1.33 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.93/1.33 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.93/1.33 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.93/1.33 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.93/1.33 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.93/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.93/1.33 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), X ), X ), X ),
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.93/1.33 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ), X ), X ), X ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.33 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ) ],
% 0.93/1.33 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.93/1.33 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~(
% 0.93/1.33 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.33 [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.93/1.33 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ),
% 0.93/1.33 'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 0.93/1.33 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.93/1.33 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.93/1.33 V2, V3, V4, T ) ) ],
% 0.93/1.33 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.93/1.33 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.93/1.33 , U, V3, V4, T ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.93/1.33 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ), X ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.93/1.33 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ), T ) ) ],
% 0.93/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.93/1.33 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Z ) ) ],
% 0.93/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.33 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.93/1.33 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.93/1.33 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.93/1.33 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.93/1.33 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.93/1.33 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.93/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.93/1.33 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.93/1.33 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.33 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.93/1.33 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.93/1.33 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.93/1.33 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.33 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.93/1.33 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.93/1.34 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.93/1.34 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.93/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.93/1.34 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.93/1.34 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.93/1.34 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.34 Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.93/1.34 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.93/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.93/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.93/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.93/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.93/1.34 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.93/1.34 , 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.93/1.34 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.93/1.34 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.93/1.34 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.93/1.34 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.93/1.34 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.93/1.34 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.93/1.34 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.93/1.34 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.93/1.34 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.93/1.34 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.93/1.34 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.93/1.34 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), 'c_Map_Odom'( Y, X, Z ) ), 'c_Map_Odom'( T, X
% 0.93/1.34 , Z ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 0.93/1.34 =( 'c_Map_Omap__add'( Y, T, X, Z ), 'c_Map_Omap__add'( T, Y, X, Z ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), 'c_Set_Oinsert'( Y
% 0.93/1.34 , U, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_Map_Odom'( X, T, Z ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ),
% 0.93/1.34 'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( X, U ),
% 0.93/1.34 'c_Option_Ooption_OSome'( W, T ) ), =( hAPP( Y, U ),
% 0.93/1.34 'c_Option_Ooption_OSome'( W, T ) ) ],
% 0.93/1.34 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP(
% 0.93/1.34 'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP(
% 0.93/1.34 'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.93/1.34 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z,
% 0.93/1.34 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.34 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.93/1.34 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.93/1.34 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.93/1.34 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.93/1.34 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__valids'(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.93/1.34 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.93/1.34 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.34 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.93/1.34 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.93/1.34 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.93/1.34 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.93/1.34 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'(
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.93/1.34 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.93/1.34 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.34 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.93/1.34 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.93/1.34 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.93/1.34 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.93/1.34 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.93/1.34 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.93/1.34 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.93/1.34 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname',
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.93/1.34 , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.34 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.93/1.34 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.93/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.93/1.34 Y, Z ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ),
% 0.93/1.34 ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.93/1.34 [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.93/1.34 ],
% 0.93/1.34 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z,
% 0.93/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.93/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.93/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.93/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.93/1.34 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.93/1.34 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.93/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.93/1.34 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.93/1.34 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.93/1.34 [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.93/1.34 ) ],
% 0.93/1.34 [ =( 'c_Set_Oinsert'( X,
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.93/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 0.93/1.34 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.34 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.93/1.34 ) ],
% 0.93/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.93/1.34 ) ],
% 0.93/1.34 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Set_Oinsert'(
% 0.93/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.93/1.34 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 0.93/1.34 X, T ), T ) ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.34 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ],
% 0.93/1.34 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.34 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.93/1.34 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( X, 'c_Set_Oimage'( Y,
% 0.93/1.34 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( Z, X, Y, T, U ), T
% 0.93/1.34 , U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U
% 0.93/1.34 , 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.93/1.34 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.93/1.34 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'(
% 0.93/1.34 X, Y, Z, T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.93/1.34 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 0.93/1.34 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.93/1.34 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), hBOOL(
% 0.93/1.34 'c_in'( Z, 'c_Map_Oran'( X, U, T ), T ) ) ],
% 0.93/1.34 [ =( X, 'c_Option_Ooption_OSome'( Y, Z ) ), ~( hBOOL( 'c_in'( Y,
% 0.93/1.34 'c_Option_Oset'( X, Z ), Z ) ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, 'c_Option_Oset'( 'c_Option_Ooption_OSome'( X, Y ), Y
% 0.93/1.34 ), Y ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), ~(
% 0.93/1.34 hBOOL( 'c_in'( U, 'c_Map_Odom'( Y, Z, T ), Z ) ) ) ],
% 0.93/1.34 [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Map_Odom'( X
% 0.93/1.34 , T, U ), T ) ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ],
% 0.93/1.34 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( hBOOL(
% 0.93/1.34 'c_in'( Y, 'c_Map_Odom'( X, T, Z ), T ) ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ) ), =( hAPP( Y, X ),
% 0.93/1.34 'c_Option_Ooption_ONone'( T ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), hBOOL(
% 0.93/1.34 'c_in'( U, 'c_Map_Odom'( X, Z, T ), Z ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( X, U ) ), hBOOL(
% 0.93/1.34 'c_in'( U, 'c_Map_Odom'( Y, Z, T ), Z ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 0.93/1.34 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 0.93/1.34 ~( 'c_Com_OWT'( Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.93/1.34 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP(
% 0.93/1.34 'c_Com_Ocom_OBODY', 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ) ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Map_Omap__of'( X, Y, Z ), Y
% 0.93/1.34 , Z ), Y ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Map_Odom'( X, Y, Z ), 'c_Map_Odom'( T, Y, Z ),
% 0.93/1.34 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_Map_Omap__le'( X, T, Y, Z ) ) ],
% 0.93/1.34 [ =( 'c_Predicate_Oinv__imagep'( X, Y, 'v_x', 'v_y', Z, 't_a' ), hAPP(
% 0.93/1.34 hAPP( X, hAPP( Y, 'v_x' ) ), hAPP( Y, 'v_y' ) ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'(
% 0.93/1.34 'c_Com_Osko__Com__XWTs__elim__cases__7__1'( X ), 'tc_Com_Ocom' ) ), ~(
% 0.93/1.34 'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.93/1.34 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), hAPP( Z, T ) ), hAPP(
% 0.93/1.34 'c_Com_Ocom_OBODY', T ) ), hAPP( U, T ) ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( hBOOL( 'c_in'( T, W,
% 0.93/1.34 'tc_Com_Opname' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.93/1.34 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.93/1.34 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.34 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.93/1.34 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.93/1.34 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.93/1.34 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.93/1.34 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 Y ) ), W, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'(
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.93/1.34 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.93/1.34 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.34 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.93/1.34 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.93/1.34 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.93/1.34 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.93/1.34 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.93/1.34 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U
% 0.93/1.34 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.93/1.34 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W, 'tc_Com_Opname',
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.93/1.34 'tc_Com_Ostate' ), X ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.93/1.34 , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 0.93/1.34 ~( 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.93/1.34 'tc_Com_Ostate' ), X ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.93/1.34 , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) )
% 0.93/1.34 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', Y ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.93/1.34 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.93/1.34 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.34 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.93/1.34 'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.93/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.93/1.34 , Z ) ) ],
% 0.93/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~(
% 0.93/1.34 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.93/1.34 T ) ) ],
% 0.93/1.34 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.93/1.34 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.93/1.34 'c_in'( X, Y, Z ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.93/1.34 , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.93/1.34 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.34 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.93/1.34 hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.34 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.93/1.34 hBOOL( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'(
% 0.93/1.34 T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.93/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), T ),
% 0.93/1.34 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y,
% 0.93/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ), hBOOL( 'c_in'(
% 0.93/1.34 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ), Y, Z )
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ), ~( hBOOL( 'c_in'( hAPP( X,
% 0.93/1.34 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ) ),
% 0.93/1.34 U, T ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ), hBOOL( 'c_in'(
% 0.93/1.34 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ), Y
% 0.93/1.34 , Z ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ),
% 0.93/1.34 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, 'tc_fun'( T, 'tc_bool' )
% 0.93/1.34 ), T ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), hAPP( Z,
% 0.93/1.34 'c_Set_Oimage'( X, U, W, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL(
% 0.93/1.34 'c_in'( Y, U, W ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ), ~( hBOOL( 'c_in'( hAPP( X,
% 0.93/1.34 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ) ), U, T
% 0.93/1.34 ) ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.93/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.93/1.34 ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.93/1.34 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), 'c_Finite__Set_Ofinite'(
% 0.93/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.93/1.34 ), T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.93/1.34 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.93/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.93/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.93/1.34 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.93/1.34 , Z ) ) ],
% 0.93/1.34 [ =( X, 'c_Set_Oimage'( Y,
% 0.93/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 0.93/1.34 , T, U ), T, U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ),
% 0.93/1.34 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, U ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'(
% 0.93/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.93/1.34 , T, U ), T ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X, T, U ),
% 0.93/1.34 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.93/1.34 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.34 [ 'c_lessequals'(
% 0.93/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.93/1.34 , T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.93/1.34 [ =( 'c_Option_Oset'( 'c_Option_Ooption_OSome'( X, Y ), Y ),
% 0.93/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), Y ) ) ],
% 0.93/1.34 [ =( hAPP( X, Y ), 'c_Option_Ooption_OSome'(
% 0.93/1.34 'c_Map_Osko__Map__XdomD__1__1'( Y, X, Z, T ), T ) ), ~( hBOOL( 'c_in'( Y
% 0.93/1.34 , 'c_Map_Odom'( X, Z, T ), Z ) ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 0.93/1.34 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 0.93/1.34 ~( 'c_Com_OWT'( Y ) ), hBOOL( 'c_in'(
% 0.93/1.34 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ), 'c_Map_Odom'(
% 0.93/1.34 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 0.93/1.34 , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', X ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~( 'c_Com_OWT'( X ) ), ~(
% 0.93/1.34 'c_Com_OWT__bodies' ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'(
% 0.93/1.34 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.93/1.34 hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) ), Y ), Z ) ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) )
% 0.93/1.34 , Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP(
% 0.93/1.34 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z )
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.93/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.93/1.34 ), Z, T ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.34 T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' )
% 0.93/1.34 ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.93/1.34 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.93/1.34 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.93/1.34 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.34 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.34 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.93/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.93/1.34 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.93/1.34 [ ~( =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'( Y,
% 0.93/1.34 'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBB'(
% 0.93/1.34 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 0.93/1.34 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.93/1.34 'tc_Com_Ostate' ), ~( 'c_Finite__Set_Ofinite'( Y, 'tc_Com_Opname' ) ),
% 0.93/1.34 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.93/1.34 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 0.93/1.34 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.93/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oimage'( 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'(
% 0.93/1.34 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'(
% 0.93/1.34 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom',
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 0.93/1.34 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.93/1.34 'tc_Com_Ostate' ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.93/1.34 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.93/1.34 'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.93/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.93/1.34 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.93/1.34 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.93/1.34 'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.93/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.93/1.34 , T ) ), U ), X, 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Set_Oinsert'(
% 0.93/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.93/1.34 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.34 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.93/1.34 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.93/1.34 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.93/1.34 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.93/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_Option_Othe'( X ), 'c_Option_Ooption_OSome'( Y, X ) ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 0.93/1.34 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.93/1.34 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.93/1.34 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.93/1.34 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.93/1.34 Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.93/1.34 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.93/1.34 X, Z, T ) ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.93/1.34 X, Z, T ) ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.93/1.34 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.93/1.34 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.93/1.34 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.93/1.34 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.93/1.34 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T,
% 0.93/1.34 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.93/1.34 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.93/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.93/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.93/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.93/1.34 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.93/1.34 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.93/1.34 'c_in'( X, T, Z ) ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.93/1.34 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.93/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.93/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.93/1.34 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.93/1.34 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.34 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.34 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.34 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.34 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.93/1.34 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.34 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.93/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.93/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.93/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.93/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.93/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.93/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.93/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.98/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.98/1.34 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.98/1.34 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.98/1.34 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.98/1.34 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.34 ) ), Y ) ) ) ],
% 0.98/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.98/1.34 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), hBOOL(
% 0.98/1.34 'c_in'( Y, 'c_Map_Odom'( X, U, T ), U ) ) ],
% 0.98/1.34 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.98/1.34 ) ) ), =( X, Z ) ],
% 0.98/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ), X ) ],
% 0.98/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.98/1.34 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.98/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.98/1.34 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.98/1.34 X, T ), Y ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.98/1.34 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.34 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.98/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 0.98/1.34 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.98/1.34 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.98/1.34 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~(
% 0.98/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP(
% 0.98/1.34 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ), X,
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'c_Set_Oinsert'( hAPP(
% 0.98/1.34 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.98/1.34 'c_Com_Obody', Y ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.34 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.98/1.34 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.98/1.34 , U ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.98/1.34 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =(
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U, T )
% 0.98/1.34 ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.98/1.34 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.98/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.98/1.34 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 0.98/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.98/1.34 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.98/1.34 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.98/1.34 'c_in'( Y, X, T ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.98/1.34 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.98/1.34 'c_in'( Y, X, T ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.98/1.34 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.98/1.34 T, X, Z ) ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.98/1.34 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.98/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.98/1.34 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 0.98/1.34 , =( X, Y ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.98/1.34 ) ), Z, X ) ) ],
% 0.98/1.34 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.98/1.34 Y, X ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.98/1.34 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.98/1.34 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.98/1.34 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.98/1.34 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.98/1.34 [ 'c_Com_OWT__bodies' ],
% 0.98/1.34 [ 'c_Finite__Set_Ofinite'( 'v_Fa', 'tc_Hoare__Mirabelle_Otriple'(
% 0.98/1.34 'tc_Com_Ostate' ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( hAPP( 'c_Hoare__Mirabelle_OMGT', 'v_y' ), 'v_Fa',
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'v_Fa', 'c_Set_Oimage'( 'c_COMBB'(
% 0.98/1.34 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 0.98/1.34 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 0.98/1.34 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 0.98/1.34 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 0.98/1.34 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_fun'(
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_Com_Obody', 'v_pn' ), 'c_Option_Ooption_OSome'( 'v_y',
% 0.98/1.34 'tc_Com_Ocom' ) ) ],
% 0.98/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oimage'( 'c_COMBB'(
% 0.98/1.34 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ),
% 0.98/1.34 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 0.98/1.34 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.98/1.34 'v_Fa', 'tc_Com_Ostate' ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'v_x', 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname',
% 0.98/1.34 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ) ],
% 0.98/1.34 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oimage'( 'c_COMBB'(
% 0.98/1.34 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ),
% 0.98/1.34 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 0.98/1.34 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.98/1.34 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP(
% 0.98/1.34 'c_Com_Ocom_OBODY', 'v_x' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.98/1.34 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.98/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.98/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.98/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.98/1.34 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.98/1.34 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.98/1.34 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.98/1.34 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.98/1.34 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Orderings_Opreorder'( Y ) ) ],
% 0.98/1.34 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.98/1.34 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.34 'class_Orderings_Oorder'( Y ) ) ],
% 0.98/1.34 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.98/1.34 Y ) ) ],
% 0.98/1.34 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.98/1.34 Y ) ) ],
% 0.98/1.34 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.98/1.34 ],
% 0.98/1.34 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.98/1.34 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.98/1.34 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 0.98/1.34 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.98/1.34 [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.98/1.34 ] .
% 0.98/1.34
% 0.98/1.34
% 0.98/1.34 percentage equality = 0.273925, percentage horn = 0.905488
% 0.98/1.34 This is a problem with some equality
% 0.98/1.34
% 0.98/1.34
% 0.98/1.34
% 0.98/1.34 Options Used:
% 0.98/1.34
% 0.98/1.34 useres = 1
% 0.98/1.34 useparamod = 1
% 0.98/1.34 useeqrefl = 1
% 0.98/1.34 useeqfact = 1
% 0.98/1.34 usefactor = 1
% 0.98/1.34 usesimpsplitting = 0
% 0.98/1.34 usesimpdemod = 5
% 0.98/1.34 usesimpres = 3
% 0.98/1.34
% 0.98/1.34 resimpinuse = 1000
% 0.98/1.34 resimpclauses = 20000
% 0.98/1.34 substype = eqrewr
% 0.98/1.34 backwardsubs = 1
% 0.98/1.34 selectoldest = 5
% 0.98/1.34
% 0.98/1.34 litorderings [0] = split
% 0.98/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.34
% 0.98/1.34 termordering = kbo
% 0.98/1.34
% 0.98/1.34 litapriori = 0
% 0.98/1.34 termapriori = 1
% 0.98/1.34 litaposteriori = 0
% 0.98/1.34 termaposteriori = 0
% 0.98/1.34 demodaposteriori = 0
% 0.98/1.34 ordereqreflfact = 0
% 0.98/1.34
% 0.98/1.34 litselect = negord
% 0.98/1.34
% 0.98/1.34 maxweight = 15
% 0.98/1.34 maxdepth = 30000
% 0.98/1.34 maxlength = 115
% 0.98/1.34 maxnrvars = 195
% 0.98/1.34 excuselevel = 1
% 0.98/1.34 increasemaxweight = 1
% 0.98/1.34
% 0.98/1.34 maxselected = 10000000
% 0.98/1.34 maxnrclauses = 10000000
% 0.98/1.34
% 0.98/1.34 showgenerated = 0
% 0.98/1.34 showkept = 0
% 0.98/1.34 showselected = 0
% 0.98/1.34 showdeleted = 0
% 0.98/1.34 showresimp = 1
% 0.98/1.34 showstatus = 2000
% 0.98/1.34
% 0.98/1.34 prologoutput = 1
% 0.98/1.34 nrgoals = 5000000
% 0.98/1.34 totalproof = 1
% 0.98/1.34
% 0.98/1.34 Symbols occurring in the translation:
% 0.98/1.34
% 0.98/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.98/1.34 . [1, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.98/1.34 ! [4, 1] (w:0, o:101, a:1, s:1, b:0),
% 0.98/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.34 'tc_bool' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.98/1.34 'tc_fun' [43, 2] (w:1, o:166, a:1, s:1, b:0),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus' [44, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf' [45, 1] (w:1, o:106, a:1
% 0.98/1.34 , s:1, b:0),
% 0.98/1.34 hAPP [46, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus' [47, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.98/1.34 'class_Lattices_Oboolean__algebra' [48, 1] (w:1, o:107, a:1, s:1, b:0
% 0.98/1.34 ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup' [52, 3] (w:1, o:184, a:1
% 0.98/1.34 , s:1, b:0),
% 0.98/1.34 'class_Lattices_Oupper__semilattice' [53, 1] (w:1, o:108, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'class_Lattices_Olattice' [55, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.98/1.34 'class_Lattices_Olower__semilattice' [56, 1] (w:1, o:110, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'c_lessequals' [57, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.98/1.34 'c_Orderings_Otop__class_Otop' [58, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.98/1.34 'c_Orderings_Obot__class_Obot' [59, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.98/1.34 'c_Option_Ooption_ONone' [60, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.98/1.34 'c_Option_Oset' [61, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.98/1.34 'c_Option_Ooption_OSome' [64, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.98/1.34 'c_Map_Omap__add' [67, 4] (w:1, o:200, a:1, s:1, b:0),
% 0.98/1.34 'c_Set_Ovimage' [69, 4] (w:1, o:201, a:1, s:1, b:0),
% 0.98/1.34 'c_Set_Oimage' [70, 4] (w:1, o:202, a:1, s:1, b:0),
% 5.41/5.79 'c_Fun_Oinj__on' [71, 4] (w:1, o:203, a:1, s:1, b:0),
% 5.41/5.79 'class_Complete__Lattice_Ocomplete__lattice' [72, 1] (w:1, o:115, a:1
% 5.41/5.79 , s:1, b:0),
% 5.41/5.79 'c_COMBK' [74, 3] (w:1, o:186, a:1, s:1, b:0),
% 5.41/5.79 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [75, 4] (w:1
% 5.41/5.79 , o:204, a:1, s:1, b:0),
% 5.41/5.79 'c_Finite__Set_Ocard' [76, 2] (w:1, o:172, a:1, s:1, b:0),
% 5.41/5.79 'c_Finite__Set_Ofinite' [77, 2] (w:1, o:173, a:1, s:1, b:0),
% 5.41/5.79 'class_HOL_Ominus' [78, 1] (w:1, o:116, a:1, s:1, b:0),
% 5.41/5.79 't_a' [79, 0] (w:1, o:39, a:1, s:1, b:0),
% 5.41/5.79 'v_x' [80, 0] (w:1, o:40, a:1, s:1, b:0),
% 5.41/5.79 'class_OrderedGroup_Olordered__ab__group__add' [81, 1] (w:1, o:117
% 5.41/5.79 , a:1, s:1, b:0),
% 5.41/5.79 'class_Orderings_Oorder' [84, 1] (w:1, o:118, a:1, s:1, b:0),
% 5.41/5.79 'c_HOL_Oord__class_Oless' [86, 3] (w:1, o:187, a:1, s:1, b:0),
% 5.41/5.79 'c_SetInterval_Oord__class_OatLeastAtMost' [88, 3] (w:1, o:188, a:1
% 5.41/5.79 , s:1, b:0),
% 5.41/5.79 'c_OrderedGroup_Oab__semigroup__mult' [90, 2] (w:1, o:174, a:1, s:1
% 5.41/5.79 , b:0),
% 5.41/5.79 'c_Finite__Set_Ofold1' [91, 3] (w:1, o:189, a:1, s:1, b:0),
% 5.41/5.79 'c_in' [92, 3] (w:1, o:190, a:1, s:1, b:0),
% 5.41/5.79 hBOOL [93, 1] (w:1, o:119, a:1, s:1, b:0),
% 5.41/5.79 'c_Collect' [95, 2] (w:1, o:175, a:1, s:1, b:0),
% 5.41/5.79 'c_Hoare__Mirabelle_OMGT' [96, 0] (w:1, o:56, a:1, s:1, b:0),
% 5.41/5.79 'tc_Com_Ostate' [97, 0] (w:1, o:57, a:1, s:1, b:0),
% 5.41/5.79 'c_Hoare__Mirabelle_Otriple_Otriple' [98, 1] (w:1, o:120, a:1, s:1
% 5.41/5.79 , b:0),
% 5.41/5.79 'c_fequal' [99, 1] (w:1, o:121, a:1, s:1, b:0),
% 5.41/5.79 'c_Natural_Oevalc' [100, 1] (w:1, o:111, a:1, s:1, b:0),
% 5.41/5.79 'c_Map_Omap__le' [102, 4] (w:1, o:205, a:1, s:1, b:0),
% 5.41/5.79 'c_Complete__Lattice_OSup__class_OSup' [103, 2] (w:1, o:176, a:1, s:1
% 5.41/5.79 , b:0),
% 5.41/5.79 'class_OrderedGroup_Ogroup__add' [104, 1] (w:1, o:122, a:1, s:1, b:0)
% 5.41/5.79 ,
% 5.41/5.79 'class_OrderedGroup_Oab__group__add' [105, 1] (w:1, o:123, a:1, s:1
% 5.41/5.79 , b:0),
% 5.41/5.79 'class_OrderedGroup_Opordered__ab__group__add' [107, 1] (w:1, o:124
% 5.41/5.79 , a:1, s:1, b:0),
% 5.41/5.79 'c_COMBS' [113, 5] (w:1, o:207, a:1, s:1, b:0),
% 5.41/5.79 'class_Orderings_Opreorder' [115, 1] (w:1, o:125, a:1, s:1, b:0),
% 5.41/5.79 'class_Lattices_Odistrib__lattice' [117, 1] (w:1, o:126, a:1, s:1, b:
% 5.41/5.79 0),
% 5.41/5.79 'c_Finite__Set_Ofold1Set' [118, 3] (w:1, o:191, a:1, s:1, b:0),
% 5.41/5.79 'c_The' [119, 2] (w:1, o:178, a:1, s:1, b:0),
% 5.41/5.79 'c_Complete__Lattice_Ocomplete__lattice' [128, 9] (w:1, o:215, a:1
% 5.41/5.79 , s:1, b:0),
% 5.41/5.79 'c_Set_Oinsert' [129, 3] (w:1, o:192, a:1, s:1, b:0),
% 5.41/5.79 'c_Complete__Lattice_OInf__class_OInf' [130, 2] (w:1, o:179, a:1, s:1
% 5.41/5.79 , b:0),
% 5.41/5.79 'class_Lattices_Obounded__lattice' [131, 1] (w:1, o:127, a:1, s:1, b:
% 5.41/5.79 0),
% 5.41/5.79 'c_Map_Odom' [135, 3] (w:1, o:193, a:1, s:1, b:0),
% 5.41/5.79 'c_Hoare__Mirabelle_Ostate__not__singleton' [136, 0] (w:1, o:73, a:1
% 5.41/5.79 , s:1, b:0),
% 5.41/5.79 'class_Orderings_Olinorder' [138, 1] (w:1, o:128, a:1, s:1, b:0),
% 5.41/5.79 'class_Orderings_Otop' [139, 1] (w:1, o:129, a:1, s:1, b:0),
% 5.41/5.79 'c_Inductive_Ocomplete__lattice__class_Ogfp' [142, 2] (w:1, o:180, a:
% 5.41/5.79 1, s:1, b:0),
% 5.41/5.79 'class_Ring__and__Field_Oordered__idom' [143, 1] (w:1, o:130, a:1, s:
% 5.41/5.79 1, b:0),
% 5.41/5.79 'class_HOL_Ouminus' [153, 1] (w:1, o:131, a:1, s:1, b:0),
% 5.41/5.79 'c_Predicate_Oinv__imagep' [155, 6] (w:1, o:213, a:1, s:1, b:0),
% 5.41/5.79 'tc_Com_Ocom' [157, 0] (w:1, o:81, a:1, s:1, b:0),
% 5.41/5.79 'tc_Hoare__Mirabelle_Otriple' [158, 1] (w:1, o:132, a:1, s:1, b:0),
% 5.41/5.79 'tc_Com_Opname' [159, 0] (w:1, o:82, a:1, s:1, b:0),
% 5.41/5.79 'c_COMBB' [160, 5] (w:1, o:208, a:1, s:1, b:0),
% 5.41/5.79 'c_Com_Ocom_OBODY' [161, 0] (w:1, o:84, a:1, s:1, b:0),
% 5.41/5.79 'c_Hoare__Mirabelle_Ohoare__derivs' [163, 3] (w:1, o:194, a:1, s:1
% 5.41/5.79 , b:0),
% 5.41/5.79 'c_Option_Othe' [164, 1] (w:1, o:133, a:1, s:1, b:0),
% 5.41/5.79 'c_Com_Obody' [165, 0] (w:1, o:83, a:1, s:1, b:0),
% 5.41/5.79 'tc_Option_Ooption' [166, 1] (w:1, o:134, a:1, s:1, b:0),
% 5.41/5.79 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1' [168, 3
% 5.41/5.79 ] (w:1, o:195, a:1, s:1, b:0),
% 5.41/5.79 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2' [169, 3
% 5.41/5.79 ] (w:1, o:196, a:1, s:1, b:0),
% 5.41/5.79 'class_Finite__Set_Ofinite_Ofinite' [170, 1] (w:1, o:135, a:1, s:1
% 24.22/24.63 , b:0),
% 24.22/24.63 'class_HOL_Oord' [171, 1] (w:1, o:136, a:1, s:1, b:0),
% 24.22/24.63 'c_Hoare__Mirabelle_Ohoare__valids' [175, 3] (w:1, o:197, a:1, s:1
% 24.22/24.63 , b:0),
% 24.22/24.63 'c_Finite__Set_Olinorder__class_OMax' [177, 2] (w:1, o:181, a:1, s:1
% 24.22/24.63 , b:0),
% 24.22/24.63 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [178, 2] (w:1, o:169, a:1
% 24.22/24.63 , s:1, b:0),
% 24.22/24.63 'c_Set_Ocontents' [179, 2] (w:1, o:177, a:1, s:1, b:0),
% 24.22/24.63 'c_Finite__Set_Olinorder__class_OMin' [180, 2] (w:1, o:182, a:1, s:1
% 24.22/24.63 , b:0),
% 24.22/24.63 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1' [181, 5] (w:1
% 24.22/24.63 , o:209, a:1, s:1, b:0),
% 24.22/24.63 'c_Map_Oran' [182, 3] (w:1, o:198, a:1, s:1, b:0),
% 24.22/24.63 'c_Com_OWT' [187, 1] (w:1, o:137, a:1, s:1, b:0),
% 24.22/24.63 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1' [188, 1] (w:1, o:138, a:1
% 24.22/24.63 , s:1, b:0),
% 24.22/24.63 'c_Map_Omap__of' [190, 3] (w:1, o:199, a:1, s:1, b:0),
% 24.22/24.63 'v_y' [191, 0] (w:1, o:87, a:1, s:1, b:0),
% 24.22/24.63 'c_Com_Osko__Com__XWTs__elim__cases__7__1' [192, 1] (w:1, o:139, a:1
% 24.22/24.63 , s:1, b:0),
% 24.22/24.63 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1' [195, 5] (w:1, o:210
% 24.22/24.63 , a:1, s:1, b:0),
% 24.22/24.63 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1' [196, 5] (w:1
% 24.22/24.63 , o:211, a:1, s:1, b:0),
% 24.22/24.63 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1' [197, 5
% 24.22/24.63 ] (w:1, o:212, a:1, s:1, b:0),
% 24.22/24.63 'c_Map_Osko__Map__XdomD__1__1' [198, 4] (w:1, o:206, a:1, s:1, b:0),
% 24.22/24.63
% 24.22/24.63 'c_Com_OWT__bodies' [199, 0] (w:1, o:89, a:1, s:1, b:0),
% 24.22/24.63 'class_Orderings_Obot' [205, 1] (w:1, o:140, a:1, s:1, b:0),
% 24.22/24.63 'v_Fa' [209, 0] (w:1, o:95, a:1, s:1, b:0),
% 24.22/24.63 'v_pn' [210, 0] (w:1, o:96, a:1, s:1, b:0),
% 24.22/24.63 'tc_nat' [213, 0] (w:1, o:99, a:1, s:1, b:0),
% 24.22/24.63 'c_COMBC' [214, 6] (w:1, o:214, a:1, s:1, b:0).
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Starting Search:
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 9619
% 24.22/24.63 Kept: 2475
% 24.22/24.63 Inuse: 227
% 24.22/24.63 Deleted: 31
% 24.22/24.63 Deletedinuse: 22
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 14760
% 24.22/24.63 Kept: 4475
% 24.22/24.63 Inuse: 327
% 24.22/24.63 Deleted: 34
% 24.22/24.63 Deletedinuse: 24
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 21054
% 24.22/24.63 Kept: 6620
% 24.22/24.63 Inuse: 365
% 24.22/24.63 Deleted: 35
% 24.22/24.63 Deletedinuse: 24
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 27701
% 24.22/24.63 Kept: 8664
% 24.22/24.63 Inuse: 437
% 24.22/24.63 Deleted: 36
% 24.22/24.63 Deletedinuse: 24
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 34163
% 24.22/24.63 Kept: 10685
% 24.22/24.63 Inuse: 459
% 24.22/24.63 Deleted: 36
% 24.22/24.63 Deletedinuse: 24
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 42338
% 24.22/24.63 Kept: 12800
% 24.22/24.63 Inuse: 546
% 24.22/24.63 Deleted: 38
% 24.22/24.63 Deletedinuse: 25
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 51746
% 24.22/24.63 Kept: 14807
% 24.22/24.63 Inuse: 586
% 24.22/24.63 Deleted: 48
% 24.22/24.63 Deletedinuse: 34
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 63795
% 24.22/24.63 Kept: 16833
% 24.22/24.63 Inuse: 610
% 24.22/24.63 Deleted: 50
% 24.22/24.63 Deletedinuse: 34
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 69133
% 24.22/24.63 Kept: 18991
% 24.22/24.63 Inuse: 634
% 24.22/24.63 Deleted: 60
% 24.22/24.63 Deletedinuse: 37
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying clauses:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 79402
% 24.22/24.63 Kept: 21156
% 24.22/24.63 Inuse: 652
% 24.22/24.63 Deleted: 389
% 24.22/24.63 Deletedinuse: 37
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 92871
% 24.22/24.63 Kept: 24568
% 24.22/24.63 Inuse: 689
% 24.22/24.63 Deleted: 389
% 24.22/24.63 Deletedinuse: 37
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 100975
% 24.22/24.63 Kept: 27073
% 24.22/24.63 Inuse: 729
% 24.22/24.63 Deleted: 389
% 24.22/24.63 Deletedinuse: 37
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 122728
% 24.22/24.63 Kept: 29689
% 24.22/24.63 Inuse: 742
% 24.22/24.63 Deleted: 390
% 24.22/24.63 Deletedinuse: 38
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 24.22/24.63
% 24.22/24.63
% 24.22/24.63 Intermediate Status:
% 24.22/24.63 Generated: 131901
% 24.22/24.63 Kept: 31731
% 24.22/24.63 Inuse: 781
% 24.22/24.63 Deleted: 391
% 24.22/24.63 Deletedinuse: 38
% 24.22/24.63
% 24.22/24.63 Resimplifying inuse:
% 24.22/24.63 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 147472
% 59.23/59.62 Kept: 33871
% 59.23/59.62 Inuse: 824
% 59.23/59.62 Deleted: 393
% 59.23/59.62 Deletedinuse: 38
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 157916
% 59.23/59.62 Kept: 36073
% 59.23/59.62 Inuse: 844
% 59.23/59.62 Deleted: 393
% 59.23/59.62 Deletedinuse: 38
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 169279
% 59.23/59.62 Kept: 39385
% 59.23/59.62 Inuse: 849
% 59.23/59.62 Deleted: 393
% 59.23/59.62 Deletedinuse: 38
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying clauses:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 199039
% 59.23/59.62 Kept: 41390
% 59.23/59.62 Inuse: 934
% 59.23/59.62 Deleted: 718
% 59.23/59.62 Deletedinuse: 48
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 219049
% 59.23/59.62 Kept: 43398
% 59.23/59.62 Inuse: 998
% 59.23/59.62 Deleted: 718
% 59.23/59.62 Deletedinuse: 48
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 230381
% 59.23/59.62 Kept: 46233
% 59.23/59.62 Inuse: 1031
% 59.23/59.62 Deleted: 744
% 59.23/59.62 Deletedinuse: 70
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 245376
% 59.23/59.62 Kept: 49050
% 59.23/59.62 Inuse: 1039
% 59.23/59.62 Deleted: 744
% 59.23/59.62 Deletedinuse: 70
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 275340
% 59.23/59.62 Kept: 51721
% 59.23/59.62 Inuse: 1054
% 59.23/59.62 Deleted: 744
% 59.23/59.62 Deletedinuse: 70
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 283673
% 59.23/59.62 Kept: 54036
% 59.23/59.62 Inuse: 1071
% 59.23/59.62 Deleted: 745
% 59.23/59.62 Deletedinuse: 71
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 314546
% 59.23/59.62 Kept: 56314
% 59.23/59.62 Inuse: 1082
% 59.23/59.62 Deleted: 747
% 59.23/59.62 Deletedinuse: 71
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 333703
% 59.23/59.62 Kept: 58431
% 59.23/59.62 Inuse: 1100
% 59.23/59.62 Deleted: 755
% 59.23/59.62 Deletedinuse: 72
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 349029
% 59.23/59.62 Kept: 61604
% 59.23/59.62 Inuse: 1127
% 59.23/59.62 Deleted: 756
% 59.23/59.62 Deletedinuse: 73
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying clauses:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 361242
% 59.23/59.62 Kept: 63909
% 59.23/59.62 Inuse: 1132
% 59.23/59.62 Deleted: 1726
% 59.23/59.62 Deletedinuse: 73
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 370405
% 59.23/59.62 Kept: 65948
% 59.23/59.62 Inuse: 1174
% 59.23/59.62 Deleted: 1910
% 59.23/59.62 Deletedinuse: 257
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 380790
% 59.23/59.62 Kept: 68088
% 59.23/59.62 Inuse: 1220
% 59.23/59.62 Deleted: 1910
% 59.23/59.62 Deletedinuse: 257
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 395257
% 59.23/59.62 Kept: 70196
% 59.23/59.62 Inuse: 1255
% 59.23/59.62 Deleted: 1910
% 59.23/59.62 Deletedinuse: 257
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 404374
% 59.23/59.62 Kept: 72384
% 59.23/59.62 Inuse: 1285
% 59.23/59.62 Deleted: 1910
% 59.23/59.62 Deletedinuse: 257
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 414338
% 59.23/59.62 Kept: 74527
% 59.23/59.62 Inuse: 1303
% 59.23/59.62 Deleted: 1912
% 59.23/59.62 Deletedinuse: 257
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 424593
% 59.23/59.62 Kept: 76688
% 59.23/59.62 Inuse: 1332
% 59.23/59.62 Deleted: 1914
% 59.23/59.62 Deletedinuse: 258
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 437955
% 59.23/59.62 Kept: 78901
% 59.23/59.62 Inuse: 1347
% 59.23/59.62 Deleted: 1914
% 59.23/59.62 Deletedinuse: 258
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 454240
% 59.23/59.62 Kept: 81031
% 59.23/59.62 Inuse: 1386
% 59.23/59.62 Deleted: 1915
% 59.23/59.62 Deletedinuse: 258
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying clauses:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 467791
% 59.23/59.62 Kept: 83483
% 59.23/59.62 Inuse: 1406
% 59.23/59.62 Deleted: 9343
% 59.23/59.62 Deletedinuse: 258
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 479196
% 59.23/59.62 Kept: 85517
% 59.23/59.62 Inuse: 1421
% 59.23/59.62 Deleted: 9343
% 59.23/59.62 Deletedinuse: 258
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 490752
% 59.23/59.62 Kept: 87602
% 59.23/59.62 Inuse: 1448
% 59.23/59.62 Deleted: 9346
% 59.23/59.62 Deletedinuse: 261
% 59.23/59.62
% 59.23/59.62 Resimplifying inuse:
% 59.23/59.62 Done
% 59.23/59.62
% 59.23/59.62
% 59.23/59.62 Intermediate Status:
% 59.23/59.62 Generated: 499752
% 59.23/59.62 Kept: 89655
% 160.65/161.07 Inuse: 1456
% 160.65/161.07 Deleted: 9346
% 160.65/161.07 Deletedinuse: 261
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 509973
% 160.65/161.07 Kept: 91656
% 160.65/161.07 Inuse: 1473
% 160.65/161.07 Deleted: 9347
% 160.65/161.07 Deletedinuse: 261
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 525423
% 160.65/161.07 Kept: 94274
% 160.65/161.07 Inuse: 1505
% 160.65/161.07 Deleted: 9349
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 537302
% 160.65/161.07 Kept: 96306
% 160.65/161.07 Inuse: 1520
% 160.65/161.07 Deleted: 9349
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 550454
% 160.65/161.07 Kept: 98317
% 160.65/161.07 Inuse: 1528
% 160.65/161.07 Deleted: 9349
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 557672
% 160.65/161.07 Kept: 100436
% 160.65/161.07 Inuse: 1540
% 160.65/161.07 Deleted: 9349
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 567768
% 160.65/161.07 Kept: 102638
% 160.65/161.07 Inuse: 1552
% 160.65/161.07 Deleted: 9349
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying clauses:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 574901
% 160.65/161.07 Kept: 104704
% 160.65/161.07 Inuse: 1555
% 160.65/161.07 Deleted: 9630
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 593819
% 160.65/161.07 Kept: 107688
% 160.65/161.07 Inuse: 1570
% 160.65/161.07 Deleted: 9630
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 606723
% 160.65/161.07 Kept: 109779
% 160.65/161.07 Inuse: 1603
% 160.65/161.07 Deleted: 9630
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 614583
% 160.65/161.07 Kept: 111876
% 160.65/161.07 Inuse: 1614
% 160.65/161.07 Deleted: 9630
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 637556
% 160.65/161.07 Kept: 113881
% 160.65/161.07 Inuse: 1646
% 160.65/161.07 Deleted: 9630
% 160.65/161.07 Deletedinuse: 263
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 663645
% 160.65/161.07 Kept: 116004
% 160.65/161.07 Inuse: 1674
% 160.65/161.07 Deleted: 9635
% 160.65/161.07 Deletedinuse: 267
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 676299
% 160.65/161.07 Kept: 118267
% 160.65/161.07 Inuse: 1708
% 160.65/161.07 Deleted: 9638
% 160.65/161.07 Deletedinuse: 269
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 686850
% 160.65/161.07 Kept: 120449
% 160.65/161.07 Inuse: 1733
% 160.65/161.07 Deleted: 9638
% 160.65/161.07 Deletedinuse: 269
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 704377
% 160.65/161.07 Kept: 122958
% 160.65/161.07 Inuse: 1748
% 160.65/161.07 Deleted: 9638
% 160.65/161.07 Deletedinuse: 269
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying clauses:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 720966
% 160.65/161.07 Kept: 126003
% 160.65/161.07 Inuse: 1768
% 160.65/161.07 Deleted: 10113
% 160.65/161.07 Deletedinuse: 270
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 731048
% 160.65/161.07 Kept: 128266
% 160.65/161.07 Inuse: 1788
% 160.65/161.07 Deleted: 10113
% 160.65/161.07 Deletedinuse: 270
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 746918
% 160.65/161.07 Kept: 132020
% 160.65/161.07 Inuse: 1808
% 160.65/161.07 Deleted: 10113
% 160.65/161.07 Deletedinuse: 270
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 755273
% 160.65/161.07 Kept: 134042
% 160.65/161.07 Inuse: 1821
% 160.65/161.07 Deleted: 10114
% 160.65/161.07 Deletedinuse: 271
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 763298
% 160.65/161.07 Kept: 136100
% 160.65/161.07 Inuse: 1838
% 160.65/161.07 Deleted: 10116
% 160.65/161.07 Deletedinuse: 273
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 771941
% 160.65/161.07 Kept: 138123
% 160.65/161.07 Inuse: 1855
% 160.65/161.07 Deleted: 10125
% 160.65/161.07 Deletedinuse: 282
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 783209
% 160.65/161.07 Kept: 140285
% 160.65/161.07 Inuse: 1865
% 160.65/161.07 Deleted: 10129
% 160.65/161.07 Deletedinuse: 283
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 798783
% 160.65/161.07 Kept: 142572
% 160.65/161.07 Inuse: 1880
% 160.65/161.07 Deleted: 10129
% 160.65/161.07 Deletedinuse: 283
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying clauses:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07 Resimplifying inuse:
% 160.65/161.07 Done
% 160.65/161.07
% 160.65/161.07
% 160.65/161.07 Intermediate Status:
% 160.65/161.07 Generated: 811226
% 160.65/161.07 Kept: 144755
% 160.65/161.07 Inuse: 1900
% 160.65/161.07 Deleted: 11787
% 160.65/161.07 Deletedinuse: 283
% 160.65/161.07
% 160.65/161.07 ResiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------