TSTP Solution File: SWV852-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV852-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:50 EDT 2022
% Result : Timeout 300.05s 300.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV852-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 16 04:54:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.91/1.29 *** allocated 10000 integers for termspace/termends
% 0.91/1.29 *** allocated 10000 integers for clauses
% 0.91/1.29 *** allocated 10000 integers for justifications
% 0.91/1.29 *** allocated 15000 integers for termspace/termends
% 0.91/1.29 Bliksem 1.12
% 0.91/1.29
% 0.91/1.29
% 0.91/1.29 Automatic Strategy Selection
% 0.91/1.29
% 0.91/1.29 Clauses:
% 0.91/1.29 [
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.29 ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.29 ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.91/1.29 ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.29 ) ],
% 0.91/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.29 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.91/1.29 ) ],
% 0.91/1.29 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.91/1.29 ) ],
% 0.91/1.29 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.91/1.29 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.91/1.29 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.91/1.29 , X ) ) ), =( Y, Z ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.91/1.29 , X ) ) ), =( Y, Z ) ],
% 0.91/1.29 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.91/1.29 Z ) ],
% 0.91/1.29 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.91/1.29 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.91/1.29 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.29 [ =( 'c_Finite__Set_Ofold'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), Y ) ],
% 0.91/1.29 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.91/1.29 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.91/1.29 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.91/1.29 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.29 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.91/1.29 Y, 'v_x' ), X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.29 [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~(
% 0.91/1.29 'c_Com_OWT'( X ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( 'c_List_Oset'( X, Y ), Y ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 T, hAPP( 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), 'tc_fun'( Z, 'tc_bool' )
% 0.91/1.29 , 'tc_fun'( Y, 'tc_bool' ), W ), U ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.91/1.29 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.91/1.29 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.91/1.29 , V4 ), W ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL(
% 0.91/1.29 hAPP( T, hAPP( X, U ) ) ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.91/1.29 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.91/1.29 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.91/1.29 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.29 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.29 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.91/1.29 , 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), W
% 0.91/1.29 , U ), V0 ), hAPP( 'c_Fun_Ocomp'( 'c_Fun_Othe__inv__into'( X, Z, W, T ),
% 0.91/1.29 'c_Fun_Othe__inv__into'( hAPP( 'c_Set_Oimage'( Z, W, T ), X ), Y, T, U )
% 0.91/1.29 , T, W, U ), V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), V0 ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( Y, T, U ), hAPP( 'c_Set_Oimage'( Z, W, T ), X ) ) ) ) ),
% 0.91/1.29 ~( 'c_Fun_Oinj__on'( Z, X, W, T ) ), ~( 'c_Fun_Oinj__on'( Y, hAPP(
% 0.91/1.29 'c_Set_Oimage'( Z, W, T ), X ), T, U ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.29 , X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T
% 0.91/1.29 , 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ), hBOOL(
% 0.91/1.29 hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T
% 0.91/1.29 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.29 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.29 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'(
% 0.91/1.29 X, Z ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.91/1.29 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.29 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 0.91/1.29 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.91/1.29 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.29 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ),
% 0.91/1.29 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( Z, hAPP(
% 0.91/1.29 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( T, Z ), Y ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z
% 0.91/1.29 , 'tc_bool' ) ), Z ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.91/1.29 hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'(
% 0.91/1.29 X, Y ), Z ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.29 'c_Finite__Set_Olinorder__class_OMax'( hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T )
% 0.91/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T )
% 0.91/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.91/1.29 , 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.91/1.29 'c_Finite__Set_Olinorder__class_OMin'( hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.29 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ],
% 0.91/1.29 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.91/1.29 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y, U ) ), U ),
% 0.91/1.29 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 0.91/1.29 X, Z, T ) ) ],
% 0.91/1.29 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP( 'c_Fun_Othe__inv__into'(
% 0.91/1.29 Y, X, Z, T ), hAPP( X, U ) ), U ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U )
% 0.91/1.29 , Y ) ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.91/1.29 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.91/1.29 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.91/1.29 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.91/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.91/1.29 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oimage'( X
% 0.91/1.29 , Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'(
% 0.91/1.29 X, Y, Z ), T ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.91/1.29 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y ),
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.91/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.91/1.29 'c_COMBB'( Y, Z, 'tc_fun'( T, 'tc_bool' ), U ), W ), U, 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 hAPP( 'c_Set_Oimage'( W, U, Z ), X ), Y, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.91/1.29 ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 T, hAPP( 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), 'tc_fun'( Y, 'tc_bool' ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ), W ), U ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.91/1.29 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, hAPP( 'c_COMBB'(
% 0.91/1.29 U, Z, 'tc_fun'( W, 'tc_bool' ), Y ), X ), Y, 'tc_fun'( W, 'tc_bool' ) ) )
% 0.91/1.29 ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 0.91/1.29 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, U, Z ), W ), Z, T ) ), ~(
% 0.91/1.29 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, Z, T ), U ), T, W ), ~(
% 0.91/1.29 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, T, W, Z ), U, Z, W ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( Y, Z, T ), X ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T )
% 0.91/1.29 ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), T, Z )
% 0.91/1.29 , hAPP( 'c_Set_Oimage'( Y, Z, T ), X ) ), X ), ~( 'c_Fun_Oinj__on'( Y, X
% 0.91/1.29 , Z, T ) ) ],
% 0.91/1.29 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.91/1.29 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( hAPP( 'c_Fun_Othe__inv__into'( 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), hAPP( Y, T ) ), T ), ~(
% 0.91/1.29 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ), X, Z ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.91/1.29 ), X ) ],
% 0.91/1.29 [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.29 hAPP( 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.91/1.29 'c_Finite__Set_Ocard'( X, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.91/1.29 X ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.91/1.29 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.91/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.29 , 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ) ), Y ) )
% 0.91/1.29 ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.91/1.29 , 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.91/1.29 , Z ) ],
% 0.91/1.29 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.91/1.29 , T ) ],
% 0.91/1.29 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.91/1.29 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.91/1.29 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.91/1.29 ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.29 , X ), X ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T,
% 0.91/1.29 U, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.91/1.29 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ),
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.91/1.29 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ofun__upd'( Y, Z, T, U, W ), W, V0, U ),
% 0.91/1.29 'c_Fun_Ofun__upd'( 'c_Fun_Ocomp'( X, Y, W, V0, U ), Z, hAPP( X, T ), U,
% 0.91/1.29 V0 ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.29 , T, X ) ) ), =( Y, Z ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.29 , T, X ) ) ), =( Z, T ) ],
% 0.91/1.29 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 0.91/1.29 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.91/1.29 ],
% 0.91/1.29 [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 0.91/1.29 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 0.91/1.29 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.29 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.29 ) ), =( Y, Z ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.29 ) ), =( Y, Z ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_HOL_Ouminus__class_Ouminus'( T
% 0.91/1.29 , 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.91/1.29 'c_Set_Ovimage'( X, Y, Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP(
% 0.91/1.29 'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.91/1.29 'c_lessequals'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.91/1.29 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.91/1.29 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), W )
% 0.91/1.29 , hAPP( 'c_Set_Ovimage'( Y, U, Z ), hAPP( 'c_Set_Ovimage'( X, Z, T ), W )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.91/1.29 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.91/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.29 ), Y ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.29 ), Y ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.29 ), Y ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.29 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.91/1.29 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.91/1.29 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.91/1.29 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.91/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.91/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.91/1.29 , 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.91/1.29 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.91/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.91/1.29 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.91/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.91/1.29 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.91/1.29 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.91/1.29 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), W ),
% 0.91/1.29 hAPP( 'c_Set_Oimage'( X, Z, T ), hAPP( 'c_Set_Oimage'( Y, U, Z ), W ) ) )
% 0.91/1.29 ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.29 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.91/1.29 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.91/1.29 , 'v_x' ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( =( 'c_Com_Ocom_OSKIP', hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ), hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__3'( X, Y ) ), Y ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.91/1.29 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.29 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 0.91/1.29 , 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Y ) ), =( Y,
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 0.91/1.29 , 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ), Y ) ), =( Y,
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.91/1.29 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ),
% 0.91/1.29 'c_Finite__Set_Ocard'( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), X ),
% 0.91/1.29 Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.91/1.29 hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ), Z ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( Y ), X ), Z ) ) ) ],
% 0.91/1.29 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), hAPP(
% 0.91/1.29 'c_Set_Ovimage'( X, T, U ), hAPP( 'c_Set_Oinsert'( Z, U ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.91/1.29 , hAPP( 'c_Set_Oinsert'( hAPP( Z, Y ), T ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ],
% 0.91/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.91/1.29 hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), Z ), hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( Y ), X ), Z ) ) ],
% 0.91/1.29 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.29 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.91/1.29 'c_COMBB'( 'c_Set_Oinsert'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 0.91/1.29 , 'tc_bool' ), T ), U ), T, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, Z ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, T, 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), X ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.91/1.29 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.91/1.29 , Y, hAPP( 'c_Set_Oinsert'( Z, X ), T ), X, X ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ),
% 0.91/1.29 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.91/1.29 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y
% 0.91/1.29 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oinsert'( T, Z ), U
% 0.91/1.29 ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oinsert'(
% 0.91/1.29 T, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) )
% 0.91/1.29 , hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.91/1.29 [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T ), U ) ), U ),
% 0.91/1.29 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( X, Z, T ),
% 0.91/1.29 Y ) ) ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ],
% 0.91/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.91/1.29 'c_COMBB'( 'c_Set_Oinsert'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 0.91/1.29 , 'tc_bool' ), X ), T ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.91/1.29 'c_COMBB'( 'c_Set_Oinsert'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z
% 0.91/1.29 , 'tc_bool' ), T ), U ), T, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, Z ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, T, 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 Z, hAPP( 'c_COMBB'( 'c_Set_Oinsert'( X, Y ), 'tc_fun'( Y, 'tc_bool' ),
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ), U ), T ), U, 'tc_fun'( Y, 'tc_bool' ) ) ), =( Z
% 0.91/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.91/1.29 hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 Z, hAPP( 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ), U ), T ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z,
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.91/1.29 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ), Z ), 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.91/1.29 , T ), U ), T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.91/1.29 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, T,
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.91/1.29 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ), Z ), 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.91/1.29 , X ), T ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.91/1.29 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 0.91/1.29 [ ~( =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z )
% 0.91/1.29 , 'c_Finite__Set_Ocard'( T, Y ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) )
% 0.91/1.29 , 'c_Fun_Oinj__on'( X, T, Y, Z ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), Y ),
% 0.91/1.29 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), Y, Z ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T, U
% 0.91/1.29 , 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.91/1.29 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.91/1.29 ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.91/1.29 T ) ), T ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T, U
% 0.91/1.29 , 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.91/1.29 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, T ), Y
% 0.91/1.29 , U, T ), Z, T, U, Y ), X ), ~( 'c_Fun_Oinj__on'( Z,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, T ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, hAPP(
% 0.91/1.29 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ), T, Z, U ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, T, Z, U )
% 0.91/1.29 ) ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Fun_Ocomp'( 'v_f', 'v_g', 't_a', 't_b', 't_c' ), 'v_x' ),
% 0.91/1.29 hAPP( 'v_f', hAPP( 'v_g', 'v_x' ) ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.91/1.29 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.91/1.29 , Z, T, X, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, hAPP(
% 0.91/1.29 'c_Set_Oimage'( X, Z, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.91/1.29 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.91/1.29 ],
% 0.91/1.29 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.91/1.29 Y, X ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 0.91/1.29 , X ), hAPP( 'c_Set_Oimage'( Y, X, Z ), T ) ), T ), ~( 'c_Fun_Oinj__on'(
% 0.91/1.29 Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 0.91/1.29 , X ), hAPP( 'c_Set_Oimage'( Y, X, Z ), T ) ), T ), ~( 'c_Fun_Oinj__on'(
% 0.91/1.29 Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.91/1.29 , hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.91/1.29 , hAPP( 'c_Set_Oinsert'( T, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.91/1.29 hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( T,
% 0.91/1.29 Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.91/1.29 Z, T ) ) ) ],
% 0.91/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.91/1.29 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, X ), T ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Z ) ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), Z ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Z ) ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hBOOL(
% 0.91/1.29 hAPP( hAPP( 'c_in'( Y ), X ), Z ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), =( X, Z
% 0.91/1.29 ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), Y, Z ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_List_Oset'( Y,
% 0.91/1.29 Z ), T, Z, X ), 'c_List_Ofoldl'( 'c_COMBC'( hAPP( 'c_COMBB'(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, 'tc_fun'( X, X ), Z
% 0.91/1.29 ), T ), Z, X, X ), 'c_Orderings_Obot__class_Obot'( X ), Y, X, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.91/1.29 'c_COMBB'( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool'
% 0.91/1.29 ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool'
% 0.91/1.29 ), X ), Y ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP(
% 0.91/1.29 'c_in'( 't_a' ), 'v_x' ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.91/1.29 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 0.91/1.29 ), hAPP( 'c_Set_Oinsert'( Z, U ), hAPP( 'c_Set_Oimage'( X, T, U ),
% 0.91/1.29 'c_HOL_Ominus__class_Ominus'( W, hAPP( 'c_Set_Oinsert'( Y, T ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), 'tc_fun'( T
% 0.91/1.29 , 'tc_bool' ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( U, hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Z, T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.91/1.29 Y, hAPP( 'c_Set_Oinsert'( Z, T ), U ), T, X ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), Z, U ), hBOOL(
% 0.91/1.29 hAPP( hAPP( 'c_in'( U ), hAPP( X, Y ) ), hAPP( 'c_Set_Oimage'( X, Z, U )
% 0.91/1.29 , 'c_HOL_Ominus__class_Ominus'( T, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.91/1.29 , 'tc_bool' ) ) ) ) ), ~( 'c_Fun_Oinj__on'( X, T, Z, U ) ) ],
% 0.91/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, X ),
% 0.91/1.29 'c_Finite__Set_Ofold'( hAPP( 'c_COMBB'(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, 'tc_fun'( X, X ), T
% 0.91/1.29 ), Z ), 'c_Orderings_Obot__class_Obot'( X ), Y, T, X ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple__valid'(
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ),
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__3'( X, Y ), 't_a' ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.91/1.29 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.91/1.29 'c_Com_Ocom_OSemi'( T, U ) ), W ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.91/1.29 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.91/1.29 hAPP( 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP( hAPP(
% 0.91/1.29 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.91/1.29 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.91/1.29 'c_Com_Ocom_OSKIP' ), Z ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.91/1.29 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.91/1.29 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, 'c_Fun_Ocomp'( Y, Z, T, U
% 0.91/1.29 , W ), W, U ), V0 ), hAPP( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 0.91/1.29 X, Z, W, T ), 'c_Hilbert__Choice_Oinv__into'( hAPP( 'c_Set_Oimage'( Z, W
% 0.91/1.29 , T ), X ), Y, T, U ), T, W, U ), V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U
% 0.91/1.29 ), V0 ), hAPP( 'c_Set_Oimage'( Y, T, U ), hAPP( 'c_Set_Oimage'( Z, W, T
% 0.91/1.29 ), X ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Z, X, W, T ) ), ~( 'c_Fun_Oinj__on'(
% 0.91/1.29 Y, hAPP( 'c_Set_Oimage'( Z, W, T ), X ), T, U ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U, 'tc_fun'( Y
% 0.91/1.29 , 'tc_bool' ) ), ~( 'c_lessequals'( T, hAPP( 'c_Set_Oimage'( X, Y, Z ), U
% 0.91/1.29 ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( T, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.91/1.29 'c_HOL_Ouminus__class_Ouminus'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.91/1.29 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), Y, Z ) ) ],
% 0.91/1.29 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 0.91/1.29 ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( U, T, Y ), Z ), X, 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 0.91/1.29 hAPP( 'c_Set_Oimage'( W, Y, T ), X ), Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.91/1.29 ~( 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 0.91/1.29 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), Y, Z ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, T ) ),
% 0.91/1.29 hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.91/1.29 Y, 'tc_bool' ) ) ) ) ), =( hAPP( X, T ), hAPP( X,
% 0.91/1.29 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, T ), X, T, Z,
% 0.91/1.29 Y ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, T, U, Z )
% 0.91/1.29 ), hAPP( 'c_Set_Oimage'( T, U, Z ), 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 'tc_fun'( U, 'tc_bool' ) ) ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( =( 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, Y ),
% 0.91/1.29 X, Y, Z, T ), Y ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ),
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, Y ) ), hAPP( 'c_Set_Oimage'( X,
% 0.91/1.29 T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) ) )
% 0.91/1.29 ],
% 0.91/1.29 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( X, Y
% 0.91/1.29 , Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( Y, T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, X ) ), =(
% 0.91/1.29 Z, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( hAPP( Y, Z ), Y, X,
% 0.91/1.29 T ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( 'c_Fun_Othe__inv__into'( Y, Z, X
% 0.91/1.29 , T ), U ) ), W ) ), ~( 'c_lessequals'( Y, W, 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( Z, X, T
% 0.91/1.29 ), Y ) ) ) ), ~( 'c_Fun_Oinj__on'( Z, Y, X, T ) ) ],
% 0.91/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, X ) ),
% 0.91/1.29 'c_Finite__Set_Ofold'( hAPP( 'c_COMBB'(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, 'tc_fun'( X, X ), U
% 0.91/1.29 ), T ), Y, Z, U, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.91/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'(
% 0.91/1.29 Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'( X, hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y
% 0.91/1.29 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), ~(
% 0.91/1.29 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y
% 0.91/1.29 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( 'c_Finite__Set_Ocard'(
% 0.91/1.29 hAPP( 'c_Set_Oinsert'( Y, X ), Z ), X ), 'c_Suc'( 'c_Finite__Set_Ocard'(
% 0.91/1.29 Z, X ) ) ), =( 'c_Finite__Set_Ocard'( Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.29 'tc_nat' ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_Finite__Set_Ocard'( hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ), X ), 'c_Suc'( 'c_Finite__Set_Ocard'(
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ),
% 0.91/1.29 'c_Suc'( 'c_Finite__Set_Ocard'( Z, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y
% 0.91/1.29 ), X ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.29 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.91/1.29 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.91/1.29 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.91/1.29 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.91/1.29 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 't_a' ),
% 0.91/1.29 'c_Natural_Oevaln'( Z, 'v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2'(
% 0.91/1.29 Y, T, Z, X ), X, 'v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3'( Y, T
% 0.91/1.29 , Z, X ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Z, X ), T
% 0.91/1.29 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Z, X ), T
% 0.91/1.29 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( T, X ), Z ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.91/1.29 ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.91/1.29 ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.91/1.29 ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.91/1.29 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.91/1.29 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.91/1.29 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.91/1.29 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.91/1.29 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.91/1.29 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.91/1.29 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.91/1.29 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.91/1.29 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.91/1.29 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.91/1.29 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.91/1.29 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.91/1.29 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( 'c_Set_Oinsert'( X, Y
% 0.91/1.29 ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T ) ), hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( Y ), X ), Z ) ), =( Z, T ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.91/1.29 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.91/1.29 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.91/1.29 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.91/1.29 ), Z ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.91/1.29 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.91/1.29 ), Y ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( Y ), X ), Z ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.91/1.29 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.91/1.29 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.91/1.29 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.91/1.29 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 0.91/1.29 hAPP( hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ) ),
% 0.91/1.29 ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.91/1.29 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~(
% 0.91/1.29 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ), T, X ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ),
% 0.91/1.29 ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ), X, T ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, Y,
% 0.91/1.29 Z, T ), U ), T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ) ), Z ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( U
% 0.91/1.29 , T, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ), Y
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.29 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.29 [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.91/1.29 , Y, Z, T ) ) ],
% 0.91/1.29 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.29 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.29 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.29 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.29 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.91/1.29 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.29 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.91/1.29 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.29 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.29 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.91/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.91/1.29 'c_lessequals'( Y, Z, X ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.91/1.29 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.91/1.29 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.29 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.91/1.29 X ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.29 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.91/1.29 X ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.91/1.29 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.91/1.29 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.91/1.29 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.91/1.29 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 0.91/1.29 ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.91/1.29 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, Z
% 0.91/1.29 , T, U ) ), hAPP( Z, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X
% 0.91/1.29 , Z, T, U ) ) ) ), =( hAPP( 'c_Set_Oimage'( X, T, U ), Y ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( Z, T, U ), Y ) ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oinsert'( T, Y ), U )
% 0.91/1.29 ), hAPP( 'c_Set_Oinsert'( hAPP( X, T ), Z ), hAPP( 'c_Set_Oimage'( X, Y
% 0.91/1.29 , Z ), U ) ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.91/1.29 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 0.91/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.91/1.29 , 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.29 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.91/1.29 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.91/1.29 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.91/1.29 U, 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.29 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.29 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.91/1.29 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.91/1.29 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ), Y ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.29 ) ) ), Y ), Y ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.29 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.91/1.29 ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ), hAPP( 'c_Set_Oinsert'( Z, X ), T ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Z, X ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), T ) ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y, X ), Z ) ), T ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, X ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Z ), T ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.91/1.29 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.91/1.29 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.29 , U ), Y ), Z, T ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.29 , Y ), U ), Z, T ) ) ],
% 0.91/1.29 [ =( X, 'c_Suc'( 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y
% 0.91/1.29 , X, Z, T ) ) ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', Y ), Z
% 0.91/1.29 , X, T ) ) ],
% 0.91/1.29 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.91/1.29 U ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) )
% 0.91/1.29 , hAPP( 'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), T ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T )
% 0.91/1.29 , T, Z ), hAPP( 'c_Set_Oimage'( Y, Z, T ), U ) ), U ), ~( 'c_lessequals'(
% 0.91/1.29 U, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ) ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, hAPP(
% 0.91/1.29 'c_Set_Oimage'( Z, T, Y ), U ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.29 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 0.91/1.29 ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.91/1.29 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.91/1.29 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP(
% 0.91/1.29 'c_Set_Oinsert'( U, Z ), Y ), Z, T ) ) ],
% 0.91/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.91/1.29 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.91/1.29 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( X, Y ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.91/1.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( T ), Y ), Z ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.29 hAPP( 'c_Set_Oinsert'( T, Z ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.91/1.29 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.29 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), Z ) )
% 0.91/1.29 , hAPP( 'c_Set_Oinsert'( X, Y ), Z ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 0.91/1.29 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Z, T ), X ), Y ) ) ) ],
% 0.91/1.29 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.91/1.29 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.91/1.29 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), hAPP( Y, U ) )
% 0.91/1.29 , U ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ), ~(
% 0.91/1.29 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 0.91/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.91/1.29 T, Z, X, U ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'( Z, T, X, U ),
% 0.91/1.29 hAPP( T, Y ) ), Y ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.91/1.29 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 0.91/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), X ), 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Z, Y ), X ), Y ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ), ~(
% 0.91/1.29 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ), X ) ],
% 0.91/1.29 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.91/1.29 ) ) ), =( X, Z ) ],
% 0.91/1.29 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.91/1.29 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.91/1.29 ), =( Y, W ) ],
% 0.91/1.29 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.91/1.29 Y, Z ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 0.91/1.29 Z, Y, Y ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z,
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.91/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), Y ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.91/1.29 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T,
% 0.91/1.29 Z ), ~( 'c_lessequals'( U, hAPP( 'c_Set_Oimage'( Y, Z, T ), X ), 'tc_fun'(
% 0.91/1.29 T, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.91/1.29 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.29 ) ), Y ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.91/1.29 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.91/1.29 ), Y ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.29 hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 0.91/1.29 ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 0.91/1.29 ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.91/1.29 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.91/1.29 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 0.91/1.29 Z, T, Y ) ) ],
% 0.91/1.29 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.91/1.29 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.29 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.29 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.91/1.29 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.91/1.29 , U ), =( X, T ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.91/1.29 , T ), =( X, T ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.91/1.29 , U ), =( Z, U ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.91/1.29 , T ), =( Z, U ) ],
% 0.91/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.91/1.29 'c_Set_Oinsert'( X, Y ), Z ), T, Y, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.91/1.29 'tc_bool' ) ), hAPP( T, X ) ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, Y, 'tc_fun'(
% 0.91/1.29 U, 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.91/1.29 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.91/1.29 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.91/1.29 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.91/1.29 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.91/1.29 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.91/1.29 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.29 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.91/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( Y, X ), Z ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.91/1.29 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), X ) ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T, 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 0.91/1.29 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.29 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.29 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.91/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.91/1.29 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.91/1.29 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.91/1.29 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.91/1.29 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.91/1.29 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.91/1.29 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.91/1.29 'tc_bool' ) ), Y, Z ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ),
% 0.91/1.29 hAPP( X, T ) ), T ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ =( X, hAPP( 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'(
% 0.91/1.29 Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.91/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( T,
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Y ), Z ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Z ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Z ) ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.91/1.29 , Y ) ],
% 0.91/1.29 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.91/1.29 , Y ) ],
% 0.91/1.29 [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP(
% 0.91/1.29 'c_Set_Oinsert'( X, Y ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.91/1.29 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.91/1.29 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.29 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 't_a' ),
% 0.91/1.29 ~( hBOOL( hAPP( hAPP( T,
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1'( Y, T, Z, X ) ),
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3'( Y, T, Z, X ) ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ), 't_a' ),
% 0.91/1.29 hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1'(
% 0.91/1.29 Y, T, Z, X ) ), 'v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2'( Y, T
% 0.91/1.29 , Z, X ) ) ) ],
% 0.91/1.29 [ 'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ), =( hAPP( 'c_Com_Obody',
% 0.91/1.29 X ), 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.91/1.29 ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ) ), T ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ),
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple__valid'(
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), Z, 't_a' ),
% 0.91/1.29 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Z
% 0.91/1.29 ), X ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple__valid'( X,
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ), 't_a' ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Option_Othe'( X ), 'c_Option_Ooption_OSome'( Y, X ) ), Y )
% 0.91/1.29 ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 0.91/1.29 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'tc_fun'( 't_b', 'tc_fun'(
% 0.91/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.91/1.29 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Y ), Z, 't_a',
% 0.91/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.91/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), T, 't_a',
% 0.91/1.29 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'( 'c_COMBS'(
% 0.91/1.29 'c_COMBS'( hAPP( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' )
% 0.91/1.29 , 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.91/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), W ),
% 0.91/1.29 Z, 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.91/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.91/1.29 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.91/1.29 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ) ),
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP( hAPP(
% 0.91/1.29 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( W,
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.91/1.29 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 0.91/1.29 V0, Z ) ) ), hAPP( V0, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'(
% 0.91/1.29 X, Y, W, T, V0, Z ) ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.91/1.29 't_b' ), 'tc_bool' ) ) ), 't_b' ), ~( 'c_Finite__Set_Ofinite'( U, 't_a' )
% 0.91/1.29 ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 0.91/1.29 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'tc_fun'( 't_b', 'tc_fun'(
% 0.91/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.91/1.29 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Y ), Z, 't_a',
% 0.91/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.91/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), T, 't_a',
% 0.91/1.29 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'( 'c_COMBS'(
% 0.91/1.29 'c_COMBS'( hAPP( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' )
% 0.91/1.29 , 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.91/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), W ),
% 0.91/1.29 Z, 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.91/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.91/1.29 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.91/1.29 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP( hAPP(
% 0.91/1.29 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( Y,
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.91/1.29 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 0.91/1.29 V0, Z ) ) ), hAPP( T, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X
% 0.91/1.29 , Y, W, T, V0, Z ) ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.91/1.29 't_b' ), 'tc_bool' ) ) ), 't_b' ) ), ~( 'c_Finite__Set_Ofinite'( U, 't_a'
% 0.91/1.29 ) ) ],
% 0.91/1.29 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 0.91/1.29 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 0.91/1.29 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 0.91/1.29 'c_List_Ofoldl'( hAPP( 'c_COMBB'( 'c_COMBB'( Y, T, Z, V1 ), 'tc_fun'( V1
% 0.91/1.29 , T ), 'tc_fun'( V1, Z ), Z ), hAPP( 'c_COMBB'( U, T, 'tc_fun'( V1, T ),
% 0.91/1.29 Z ), X ) ), W, V0, Z, V1 ) ) ) ],
% 0.91/1.29 [ ~( 'class_Lattices_Olattice'( 't_b' ) ), =( hAPP( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 't_b' ) )
% 0.91/1.29 , 'v_f' ), 'v_g' ), 'v_x' ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 't_b' ), hAPP( 'v_f', 'v_x'
% 0.91/1.29 ) ), hAPP( 'v_g', 'v_x' ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.91/1.29 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.91/1.29 'c_Com_Ocom_OBODY', T ) ), U ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.91/1.29 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP(
% 0.91/1.29 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.91/1.29 Y ), Z ), hAPP( 'c_Com_Ocom_OBODY', T ) ), U ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), X ), hAPP( 'c_Set_Oinsert'( hAPP(
% 0.91/1.29 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.91/1.29 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.91/1.29 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.91/1.29 'c_Com_Ocom_OBODY', T ) ), U ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.91/1.29 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.91/1.29 hAPP( 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.91/1.29 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.91/1.29 'c_Com_Obody', X ) ), Y,
% 0.91/1.29 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( X, Z, Y, T ), T ),
% 0.91/1.29 ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z, T ) ) ],
% 0.91/1.29 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Set__XimageE__1__1'( Z, X, Y, T, U
% 0.91/1.29 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), X ), hAPP( 'c_Set_Oimage'( Y,
% 0.91/1.29 T, U ), Z ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 0.91/1.29 ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.91/1.29 ), Y ), W ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Ximage__iff__1__1'( Y, Z, T, X, U ) ), Y ) ),
% 0.91/1.29 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), T ), hAPP( 'c_Set_Oimage'( Z, X, U ),
% 0.91/1.29 Y ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 0.91/1.29 , U ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( X, Z
% 0.91/1.29 , T ), Y ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( U, Y, Z
% 0.91/1.29 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( T, X, U, Y, Z ) ), T ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Set__Ximage__iff__1__1'( Z, Y, X,
% 0.91/1.29 T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), X ), hAPP( 'c_Set_Oimage'(
% 0.91/1.29 Y, T, U ), Z ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__XimageE__1__1'( Y, Z, T, X, U ) ), Y ) ), ~(
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Oimage'( T, X, U ), Y )
% 0.91/1.29 ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'(
% 0.91/1.29 Y, U, X ), W ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP(
% 0.91/1.29 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~(
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( T ), W ), hAPP( 'c_Set_Oimage'( Y, Z, T ), X )
% 0.91/1.29 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( Y,
% 0.91/1.29 Z, T ), X ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.91/1.29 Y, Z, X, T ), U ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( Z, X, T ), Y ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.91/1.29 Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 0.91/1.29 ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oinsert'( hAPP( X, Y ), Z ), hAPP( 'c_Set_Oimage'( X,
% 0.91/1.29 T, Z ), U ) ), hAPP( 'c_Set_Oimage'( X, T, Z ), U ) ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( T ), Y ), U ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.91/1.29 , ~( hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), U ), T ), X, Z ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.91/1.29 , ~( hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), T ), U ), X, Z ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.91/1.29 X ), U ), Z ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.29 , Y ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.91/1.29 X ), U ), Y ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.91/1.29 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.29 , U ), T ), X, Z ) ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.29 , U ), T ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.91/1.29 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.29 , T ), U ), X, Z ) ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.29 , T ), U ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), T ), U ) ) ) ), ~( hBOOL( hAPP( X,
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( U, X, Z ) ) ) ), ~( hBOOL(
% 0.91/1.29 hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( T, X, Z ) ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), T ), U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( U, X, Z ) ), U ) ), hBOOL(
% 0.91/1.29 hAPP( hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( T, X
% 0.91/1.29 , Z ) ), T ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( Y, Z, X ) ), Y ) ), hBOOL(
% 0.91/1.29 hAPP( Z, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( T, Z, X ) ) ), ~(
% 0.91/1.29 hBOOL( hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.91/1.29 'tc_bool' ) ), T ), Y ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( Y, X, Z ) )
% 0.91/1.29 ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( T, X, Z ) ), T ) ), ~( hBOOL(
% 0.91/1.29 hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.29 , T ), Y ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.91/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.91/1.29 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.91/1.29 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 0.91/1.29 , Z ), T ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( Y, X, Z ) )
% 0.91/1.29 ), hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( T, X, Z )
% 0.91/1.29 ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U )
% 0.91/1.29 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), T ), Y ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( Y, Z, X ) ), Y ) ), hBOOL(
% 0.91/1.29 hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2'( T, Z
% 0.91/1.29 , X ) ), T ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.91/1.29 X ), U ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.29 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ) ],
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), T ), U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( U, X, Z ) ), U ) ), ~( hBOOL(
% 0.91/1.29 hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( T, X, Z ) ) ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 0.91/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.91/1.29 'tc_bool' ) ), T ), U ) ) ) ), ~( hBOOL( hAPP( X,
% 0.91/1.29 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( U, X, Z ) ) ) ), hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3'( T, X, Z )
% 0.91/1.29 ), T ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), T, Z ),
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( U, T, Y ),
% 0.91/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ],
% 0.91/1.29 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.91/1.29 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.91/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.91/1.29 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.91/1.29 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.91/1.29 , T ), U ), Y, Z ) ), =( T, U ) ],
% 0.91/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.91/1.29 ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple__valid'( W, hAPP( hAPP( hAPP(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), T ), X ), 't_a' ) )
% 0.91/1.29 ],
% 0.91/1.29 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ) ), Z ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.29 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a',
% 0.91/1.29 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ) ), hAPP( 'c_COMBC'( 'c_in'(
% 0.91/1.29 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), Y ) ), 'v_x' )
% 0.91/1.29 , hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 'tc_bool'
% 0.91/1.29 ) ), X ), Y ) ) ) ],
% 0.91/1.29 [ =( hAPP( hAPP( 'c_COMBB'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.91/1.29 ), hAPP( 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.29 'tc_nat' ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.91/1.29 Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ), T ), X ) ],
% 0.91/1.29 [ =( hAPP( 'c_COMBS'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.91/1.29 hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.91/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ),
% 0.91/1.29 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), 't_a' ) ) ]
% 0.91/1.29 ,
% 0.91/1.29 [ 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z ), ~(
% 0.91/1.29 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.91/1.29 'c_Com_Obody', X ) ), Y, Z ) ) ],
% 0.91/1.29 [ 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.91/1.29 'c_Com_Obody', X ) ), Y, Z ), ~( 'c_Natural_Oevalc'( hAPP(
% 0.91/1.29 'c_Com_Ocom_OBODY', X ), Y, Z ) ) ],
% 0.91/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( hAPP(
% 0.91/1.29 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), hAPP( Z, T ) ),
% 0.91/1.29 hAPP( 'c_Com_Ocom_OBODY', T ) ), hAPP( U, T ) ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.91/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Com_Opname' ), T ), W ) ) ), ~(
% 0.91/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 0.91/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), X ), hAPP(
% 0.91/1.29 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.91/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.91/1.29 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ),
% 0.91/1.29 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 0.91/1.29 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.91/1.29 Y ) ) ), U, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.91/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W ) ), hAPP( 'c_Set_Oimage'(
% 0.91/1.29 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.91/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.91/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.91/1.29 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ), hAPP(
% 0.91/1.29 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'tc_Option_Ooption'(
% 0.91/1.30 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'c_Com_Obody' ),
% 0.91/1.30 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.91/1.30 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U
% 0.91/1.30 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.91/1.30 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W ), Y ) ) ],
% 0.91/1.30 [ 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, 'c_Suc'( Z ), T
% 0.91/1.30 ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.91/1.30 'c_Com_Obody', X ) ), Y, Z, T ) ) ],
% 0.91/1.30 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 0.91/1.30 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.91/1.30 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.91/1.30 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ),
% 0.91/1.30 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 0.91/1.30 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.91/1.30 Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.91/1.30 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ), ~(
% 0.91/1.30 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), X ), hAPP(
% 0.91/1.30 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.91/1.30 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.91/1.30 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ),
% 0.91/1.30 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 0.91/1.30 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.91/1.30 Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.91/1.30 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ) ), hAPP( 'c_Set_Oimage'(
% 0.91/1.30 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), 'tc_fun'( Y, 'tc_fun'(
% 0.91/1.30 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.91/1.30 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ), Z ), hAPP(
% 0.91/1.30 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'tc_Option_Ooption'(
% 0.91/1.30 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'c_Com_Obody' ),
% 0.91/1.30 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.91/1.30 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.91/1.30 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.91/1.30 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ) ) ],
% 0.91/1.30 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.91/1.30 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.30 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.91/1.30 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.91/1.30 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.91/1.30 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.91/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.30 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.91/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.30 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.91/1.30 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 0.91/1.30 ) ), hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, Y, Z, U ), T ), U, Z ), W
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.91/1.30 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.91/1.30 U ), W ), V0 ) ) ), =( T, V0 ) ],
% 0.91/1.30 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.91/1.30 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.91/1.30 U ), W ), V0 ) ) ), =( Z, W ) ],
% 0.91/1.30 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.91/1.30 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.91/1.30 U ), W ), V0 ) ) ), =( Y, U ) ],
% 0.91/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.91/1.30 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.30 , T ), Z ) ) ) ) ],
% 0.91/1.30 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.91/1.30 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.91/1.30 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.91/1.30 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.30 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.30 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.91/1.30 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.30 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.91/1.30 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.30 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.91/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.91/1.30 ],
% 0.91/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.91/1.30 ],
% 0.91/1.30 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 0.91/1.30 ) ) ) ],
% 0.91/1.30 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.91/1.30 , T ) ), U ), Y ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP(
% 0.91/1.30 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.91/1.30 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y )
% 0.91/1.30 ) ],
% 0.91/1.30 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.91/1.30 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ), ~(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.91/1.30 , T ) ), U ), Y ) ) ],
% 0.91/1.30 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.91/1.30 , W ) ) ) ],
% 0.91/1.30 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.30 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.30 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.30 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.30 , Y ), T ) ) ) ],
% 0.91/1.30 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.30 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.30 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.30 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.30 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.91/1.30 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.91/1.30 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.91/1.30 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.30 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.30 , Z ), Y ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.91/1.30 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 0.91/1.30 , =( X, Y ) ],
% 0.91/1.30 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.30 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.30 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.91/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.91/1.30 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.91/1.30 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.91/1.30 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.91/1.30 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Com_Opname' ), 'v_x' ), 'v_Procs' ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( 'v_na' ), hAPP( hAPP(
% 0.91/1.30 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), hAPP( 'v_P', 'v_x' )
% 0.91/1.30 ), hAPP( 'c_Com_Ocom_OBODY', 'v_x' ) ), hAPP( 'v_Q', 'v_x' ) ), 't_a' )
% 0.91/1.30 ) ],
% 0.91/1.30 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( 'v_na' ), X, 't_a' ),
% 0.91/1.30 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X
% 0.91/1.30 ), 'v_G' ) ) ) ],
% 0.91/1.30 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), hAPP( 'v_P', Y ) ), hAPP(
% 0.91/1.30 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', Y ) ) ), hAPP(
% 0.91/1.30 'v_Q', Y ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Com_Opname' ), Y
% 0.91/1.30 ), 'v_Procs' ) ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_n'( X ) ), hAPP( hAPP(
% 0.91/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 'v_G' ), hAPP(
% 0.91/1.30 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'tc_fun'( 't_a', 'tc_fun'(
% 0.91/1.30 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.91/1.30 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'tc_Com_Opname' ), 'v_P' ),
% 0.91/1.30 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.91/1.30 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), 'v_Q', 'tc_Com_Opname',
% 0.91/1.30 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Com_Opname',
% 0.91/1.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_Procs' ) ) ) ) ],
% 0.91/1.30 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), hAPP( 'v_P', Y ) ), hAPP(
% 0.91/1.30 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', Y ) ) ), hAPP(
% 0.91/1.30 'v_Q', Y ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Com_Opname' ), Y
% 0.91/1.30 ), 'v_Procs' ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_n'( X
% 0.91/1.30 ), 't_a' ) ) ],
% 0.91/1.30 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_na', hAPP( hAPP( hAPP(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), hAPP( 'v_P', X ) ), hAPP(
% 0.91/1.30 'c_Com_Ocom_OBODY', X ) ), hAPP( 'v_Q', X ) ), 't_a' ), ~( hBOOL( hAPP(
% 0.91/1.30 hAPP( 'c_in'( 'tc_Com_Opname' ), X ), 'v_Procs' ) ) ), hBOOL( hAPP( hAPP(
% 0.91/1.30 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_xa' ), 'v_G' ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_na', hAPP( hAPP( hAPP(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), hAPP( 'v_P', X ) ), hAPP(
% 0.91/1.30 'c_Com_Ocom_OBODY', X ) ), hAPP( 'v_Q', X ) ), 't_a' ), ~( hBOOL( hAPP(
% 0.91/1.30 hAPP( 'c_in'( 'tc_Com_Opname' ), X ), 'v_Procs' ) ) ), ~(
% 0.91/1.30 'c_Hoare__Mirabelle_Otriple__valid'( 'v_na', 'v_xa', 't_a' ) ) ],
% 0.91/1.30 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.30 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.91/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.91/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.30 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.91/1.30 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.30 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.91/1.30 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.30 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.91/1.30 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.91/1.30 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.30 'class_Orderings_Opreorder'( Y ) ) ],
% 0.91/1.30 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.91/1.30 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.91/1.30 'class_Orderings_Oorder'( Y ) ) ],
% 0.91/1.30 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.91/1.30 Y ) ) ],
% 0.91/1.30 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.91/1.30 Y ) ) ],
% 0.91/1.30 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.91/1.30 ],
% 0.91/1.30 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.91/1.30 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.91/1.30 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.91/1.30 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.91/1.30 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.91/1.30 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.91/1.30 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.91/1.30 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.91/1.30 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.91/1.30 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 0.91/1.30 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.91/1.30 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.91/1.30 , W ) ) ) ],
% 0.91/1.30 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.91/1.30 U ) ) ],
% 0.91/1.30 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 0.91/1.30 ) ) ) ],
% 0.91/1.30 [ 'c_fequal'( X, X, Y ) ],
% 0.91/1.30 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.91/1.30 ] .
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 percentage equality = 0.294380, percentage horn = 0.885714
% 0.91/1.30 This is a problem with some equality
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 Options Used:
% 0.91/1.30
% 0.91/1.30 useres = 1
% 0.91/1.30 useparamod = 1
% 0.91/1.30 useeqrefl = 1
% 0.91/1.30 useeqfact = 1
% 0.91/1.30 usefactor = 1
% 0.91/1.30 usesimpsplitting = 0
% 0.91/1.30 usesimpdemod = 5
% 0.91/1.30 usesimpres = 3
% 0.91/1.30
% 0.91/1.30 resimpinuse = 1000
% 0.91/1.30 resimpclauses = 20000
% 0.91/1.30 substype = eqrewr
% 0.91/1.30 backwardsubs = 1
% 0.91/1.30 selectoldest = 5
% 0.91/1.30
% 0.91/1.30 litorderings [0] = split
% 0.91/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.91/1.30
% 0.91/1.30 termordering = kbo
% 0.91/1.30
% 0.91/1.30 litapriori = 0
% 0.91/1.30 termapriori = 1
% 0.91/1.30 litaposteriori = 0
% 0.91/1.30 termaposteriori = 0
% 0.91/1.30 demodaposteriori = 0
% 0.91/1.30 ordereqreflfact = 0
% 0.91/1.30
% 0.91/1.30 litselect = negord
% 0.91/1.30
% 0.91/1.30 maxweight = 15
% 0.91/1.30 maxdepth = 30000
% 0.91/1.30 maxlength = 115
% 0.91/1.30 maxnrvars = 195
% 0.91/1.30 excuselevel = 1
% 0.91/1.30 increasemaxweight = 1
% 0.91/1.30
% 0.91/1.30 maxselected = 10000000
% 0.91/1.30 maxnrclauses = 10000000
% 0.91/1.30
% 0.91/1.30 showgenerated = 0
% 0.91/1.30 showkept = 0
% 0.91/1.30 showselected = 0
% 0.91/1.30 showdeleted = 0
% 0.91/1.30 showresimp = 1
% 0.91/1.30 showstatus = 2000
% 0.91/1.30
% 0.91/1.30 prologoutput = 1
% 0.91/1.30 nrgoals = 5000000
% 0.91/1.30 totalproof = 1
% 0.91/1.30
% 0.91/1.30 Symbols occurring in the translation:
% 0.91/1.30
% 0.91/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.91/1.30 . [1, 2] (w:1, o:157, a:1, s:1, b:0),
% 0.91/1.30 ! [4, 1] (w:0, o:117, a:1, s:1, b:0),
% 0.91/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.30 'class_OrderedGroup_Oab__group__add' [40, 1] (w:1, o:122, a:1, s:1
% 0.91/1.30 , b:0),
% 0.91/1.30 'c_HOL_Ominus__class_Ominus' [42, 3] (w:1, o:197, a:1, s:1, b:0),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.91/1.30 'class_OrderedGroup_Ogroup__add' [44, 1] (w:1, o:124, a:1, s:1, b:0)
% 0.91/1.30 ,
% 0.91/1.30 'class_Ring__and__Field_Oidom' [46, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.91/1.30 'class_Int_Onumber__ring' [47, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.91/1.30 'tc_bool' [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.91/1.30 'tc_fun' [50, 2] (w:1, o:182, a:1, s:1, b:0),
% 0.91/1.30 'c_Orderings_Obot__class_Obot' [51, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.91/1.30 'c_Fun_Ocomp' [56, 5] (w:1, o:224, a:1, s:1, b:0),
% 0.91/1.30 hAPP [57, 2] (w:1, o:183, a:1, s:1, b:0),
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus' [60, 2] (w:1, o:184, a:1, s:1, b:0),
% 0.91/1.30 'c_Orderings_Otop__class_Otop' [61, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.91/1.30 'c_lessequals' [65, 3] (w:1, o:198, a:1, s:1, b:0),
% 0.91/1.30 'class_Lattices_Oboolean__algebra' [66, 1] (w:1, o:132, a:1, s:1, b:0
% 0.91/1.30 ),
% 0.91/1.30 'c_Com_Ocom_OSKIP' [68, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.91/1.30 'c_Natural_Oevalc' [70, 3] (w:1, o:199, a:1, s:1, b:0),
% 0.91/1.30 'c_Natural_Oevaln' [72, 4] (w:1, o:209, a:1, s:1, b:0),
% 0.91/1.30 'c_Com_OWT' [74, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.91/1.30 'c_Com_Ocom_OSemi' [76, 2] (w:1, o:185, a:1, s:1, b:0),
% 0.91/1.30 'c_Finite__Set_Ofold' [78, 5] (w:1, o:225, a:1, s:1, b:0),
% 0.91/1.30 'class_HOL_Ouminus' [83, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.91/1.30 't_a' [84, 0] (w:1, o:58, a:1, s:1, b:0),
% 0.91/1.30 'v_x' [85, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.91/1.30 'class_OrderedGroup_Oordered__ab__group__add' [86, 1] (w:1, o:134, a:
% 0.91/1.30 1, s:1, b:0),
% 0.91/1.30 'c_List_Oset' [89, 2] (w:1, o:186, a:1, s:1, b:0),
% 0.91/1.30 'c_Finite__Set_Ofinite' [90, 2] (w:1, o:187, a:1, s:1, b:0),
% 0.91/1.30 'c_Set_Ovimage' [91, 3] (w:1, o:200, a:1, s:1, b:0),
% 0.91/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [92, 4] (w:1
% 0.91/1.30 , o:210, a:1, s:1, b:0),
% 2.29/2.65 'c_COMBB' [93, 4] (w:1, o:211, a:1, s:1, b:0),
% 2.29/2.65 hBOOL [100, 1] (w:1, o:135, a:1, s:1, b:0),
% 2.29/2.65 'class_OrderedGroup_Opordered__ab__group__add' [101, 1] (w:1, o:136
% 2.29/2.65 , a:1, s:1, b:0),
% 2.29/2.65 'c_Fun_Othe__inv__into' [103, 4] (w:1, o:212, a:1, s:1, b:0),
% 2.29/2.65 'c_Set_Oimage' [104, 3] (w:1, o:201, a:1, s:1, b:0),
% 2.29/2.65 'c_in' [105, 1] (w:1, o:137, a:1, s:1, b:0),
% 2.29/2.65 'c_Fun_Oinj__on' [106, 4] (w:1, o:213, a:1, s:1, b:0),
% 2.29/2.65 'class_OrderedGroup_Olordered__ab__group__add' [107, 1] (w:1, o:138
% 2.29/2.65 , a:1, s:1, b:0),
% 2.29/2.65 'c_Set_Oinsert' [108, 2] (w:1, o:188, a:1, s:1, b:0),
% 2.29/2.65 'c_Lattices_Oupper__semilattice__class_Osup' [109, 1] (w:1, o:139, a:
% 2.29/2.65 1, s:1, b:0),
% 2.29/2.65 'c_Finite__Set_Ocard' [110, 2] (w:1, o:189, a:1, s:1, b:0),
% 2.29/2.65 'tc_nat' [111, 0] (w:1, o:66, a:1, s:1, b:0),
% 2.29/2.65 'c_Suc' [112, 1] (w:1, o:140, a:1, s:1, b:0),
% 2.29/2.65 'class_Orderings_Olinorder' [113, 1] (w:1, o:141, a:1, s:1, b:0),
% 2.29/2.65 'c_Finite__Set_Olinorder__class_OMax' [114, 2] (w:1, o:190, a:1, s:1
% 2.29/2.65 , b:0),
% 2.29/2.65 'c_Finite__Set_Olinorder__class_OMin' [115, 2] (w:1, o:191, a:1, s:1
% 2.29/2.65 , b:0),
% 2.29/2.65 'c_COMBK' [117, 3] (w:1, o:202, a:1, s:1, b:0),
% 2.29/2.65 'c_Fun_Ofun__upd' [120, 5] (w:1, o:226, a:1, s:1, b:0),
% 2.29/2.65 'class_HOL_Ominus' [125, 1] (w:1, o:127, a:1, s:1, b:0),
% 2.29/2.65 'c_Com_Ocom_OBODY' [128, 0] (w:1, o:72, a:1, s:1, b:0),
% 2.29/2.65 'c_Hoare__Mirabelle_Ohoare__valids' [132, 3] (w:1, o:203, a:1, s:1
% 2.29/2.65 , b:0),
% 2.29/2.65 'tc_Hoare__Mirabelle_Otriple' [133, 1] (w:1, o:142, a:1, s:1, b:0),
% 2.29/2.65 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__3' [134, 2] (w:1, o:
% 2.29/2.65 194, a:1, s:1, b:0),
% 2.29/2.65 'class_Lattices_Oupper__semilattice' [136, 1] (w:1, o:143, a:1, s:1
% 2.29/2.65 , b:0),
% 2.29/2.65 'c_Hilbert__Choice_Oinv__into' [138, 4] (w:1, o:214, a:1, s:1, b:0),
% 2.29/2.65
% 2.29/2.65 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1' [140, 4]
% 2.29/2.65 (w:1, o:215, a:1, s:1, b:0),
% 2.29/2.65 'v_f' [141, 0] (w:1, o:78, a:1, s:1, b:0),
% 2.29/2.65 'v_g' [142, 0] (w:1, o:79, a:1, s:1, b:0),
% 2.29/2.65 't_b' [143, 0] (w:1, o:80, a:1, s:1, b:0),
% 2.29/2.65 't_c' [144, 0] (w:1, o:81, a:1, s:1, b:0),
% 2.29/2.65 'class_Finite__Set_Ofinite_Ofinite' [145, 1] (w:1, o:144, a:1, s:1
% 2.29/2.65 , b:0),
% 2.29/2.65 'class_Complete__Lattice_Ocomplete__lattice' [147, 1] (w:1, o:145, a:
% 2.29/2.65 1, s:1, b:0),
% 2.29/2.65 'c_Hoare__Mirabelle_Ohoare__derivs' [149, 3] (w:1, o:204, a:1, s:1
% 2.29/2.65 , b:0),
% 2.29/2.65 'c_COMBC' [150, 4] (w:1, o:216, a:1, s:1, b:0),
% 2.29/2.65 'c_List_Ofoldl' [151, 5] (w:1, o:227, a:1, s:1, b:0),
% 2.29/2.65 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2' [152, 2] (w:1, o:
% 2.29/2.65 193, a:1, s:1, b:0),
% 2.29/2.65 'c_Hoare__Mirabelle_Otriple__valid' [153, 3] (w:1, o:205, a:1, s:1
% 2.29/2.65 , b:0),
% 2.29/2.65 'c_Hoare__Mirabelle_Otriple_Otriple' [154, 1] (w:1, o:146, a:1, s:1
% 2.29/2.65 , b:0),
% 2.29/2.65 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2' [157, 5] (w:1, o:228
% 2.29/2.65 , a:1, s:1, b:0),
% 2.29/2.65 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1' [158, 4] (w:1, o:217
% 2.29/2.65 , a:1, s:1, b:0),
% 2.29/2.65 'class_HOL_Oord' [160, 1] (w:1, o:128, a:1, s:1, b:0),
% 2.29/2.65 'v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2' [161, 4] (w:1, o:
% 2.29/2.65 219, a:1, s:1, b:0),
% 2.29/2.65 'v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3' [162, 4] (w:1, o:
% 2.29/2.65 220, a:1, s:1, b:0),
% 2.29/2.65 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [164, 4] (w:1, o:221, a:1
% 2.29/2.65 , s:1, b:0),
% 2.29/2.65 'class_Lattices_Obounded__lattice' [168, 1] (w:1, o:147, a:1, s:1, b:
% 2.29/2.65 0),
% 2.29/2.65 'class_Lattices_Olattice' [169, 1] (w:1, o:148, a:1, s:1, b:0),
% 2.29/2.65 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1' [170, 5] (w:1, o:229
% 2.29/2.65 , a:1, s:1, b:0),
% 2.29/2.65 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1' [171, 4] (w:1
% 2.29/2.65 , o:222, a:1, s:1, b:0),
% 2.29/2.65 'c_Option_Ooption_ONone' [172, 1] (w:1, o:149, a:1, s:1, b:0),
% 2.29/2.65 'c_Option_Ooption_OSome' [174, 2] (w:1, o:195, a:1, s:1, b:0),
% 2.29/2.65 'class_Orderings_Obot' [176, 1] (w:1, o:150, a:1, s:1, b:0),
% 2.29/2.65 'class_Orderings_Otop' [178, 1] (w:1, o:151, a:1, s:1, b:0),
% 2.29/2.65 'class_Orderings_Oorder' [179, 1] (w:1, o:152, a:1, s:1, b:0),
% 2.29/2.65 'class_Orderings_Opreorder' [181, 1] (w:1, o:153, a:1, s:1, b:0),
% 2.29/2.65 'v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1' [182, 4] (w:1, o:
% 10.03/10.38 218, a:1, s:1, b:0),
% 10.03/10.38 'c_Com_Obody' [184, 0] (w:1, o:41, a:1, s:1, b:0),
% 10.03/10.38 'tc_Com_Ocom' [185, 0] (w:1, o:96, a:1, s:1, b:0),
% 10.03/10.38 'v_P' [186, 0] (w:1, o:97, a:1, s:1, b:0),
% 10.03/10.38 'v_Q' [187, 0] (w:1, o:99, a:1, s:1, b:0),
% 10.03/10.38 'v_R' [188, 0] (w:1, o:100, a:1, s:1, b:0),
% 10.03/10.38 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1' [190, 2] (w:1, o:
% 10.03/10.38 192, a:1, s:1, b:0),
% 10.03/10.38 'c_Option_Othe' [192, 1] (w:1, o:154, a:1, s:1, b:0),
% 10.03/10.38 'tc_Com_Ostate' [193, 0] (w:1, o:104, a:1, s:1, b:0),
% 10.03/10.38 'c_COMBS' [194, 5] (w:1, o:230, a:1, s:1, b:0),
% 10.03/10.38 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1' [198, 6] (w:1, o:233
% 10.03/10.38 , a:1, s:1, b:0),
% 10.03/10.38 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [199, 4] (w:1, o:223
% 10.03/10.38 , a:1, s:1, b:0),
% 10.03/10.38 'c_ATP__Linkup_Osko__Set__XimageE__1__1' [200, 5] (w:1, o:231, a:1
% 10.03/10.38 , s:1, b:0),
% 10.03/10.38 'c_ATP__Linkup_Osko__Set__Ximage__iff__1__1' [201, 5] (w:1, o:232, a:
% 10.03/10.38 1, s:1, b:0),
% 10.03/10.38 'c_ATP__Linkup_Osko__Set__Xball__Un__1__3' [203, 3] (w:1, o:206, a:1
% 10.03/10.38 , s:1, b:0),
% 10.03/10.38 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__2' [208, 3] (w:1, o:207, a:1
% 10.03/10.38 , s:1, b:0),
% 10.03/10.38 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1' [212, 2] (w:1, o:
% 10.03/10.38 196, a:1, s:1, b:0),
% 10.03/10.38 'tc_Com_Opname' [213, 0] (w:1, o:109, a:1, s:1, b:0),
% 10.03/10.38 'tc_Option_Ooption' [215, 1] (w:1, o:155, a:1, s:1, b:0),
% 10.03/10.38 'v_Procs' [224, 0] (w:1, o:98, a:1, s:1, b:0),
% 10.03/10.38 'v_na' [225, 0] (w:1, o:111, a:1, s:1, b:0),
% 10.03/10.38 'v_G' [226, 0] (w:1, o:112, a:1, s:1, b:0),
% 10.03/10.38 'v_n' [227, 1] (w:1, o:156, a:1, s:1, b:0),
% 10.03/10.38 'v_xa' [229, 0] (w:1, o:114, a:1, s:1, b:0),
% 10.03/10.38 'c_fequal' [232, 3] (w:1, o:208, a:1, s:1, b:0).
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Starting Search:
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 5744
% 10.03/10.38 Kept: 2008
% 10.03/10.38 Inuse: 157
% 10.03/10.38 Deleted: 0
% 10.03/10.38 Deletedinuse: 0
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 11639
% 10.03/10.38 Kept: 4828
% 10.03/10.38 Inuse: 248
% 10.03/10.38 Deleted: 0
% 10.03/10.38 Deletedinuse: 0
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 17706
% 10.03/10.38 Kept: 6981
% 10.03/10.38 Inuse: 320
% 10.03/10.38 Deleted: 3
% 10.03/10.38 Deletedinuse: 2
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 25043
% 10.03/10.38 Kept: 9018
% 10.03/10.38 Inuse: 411
% 10.03/10.38 Deleted: 6
% 10.03/10.38 Deletedinuse: 3
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 28613
% 10.03/10.38 Kept: 11119
% 10.03/10.38 Inuse: 426
% 10.03/10.38 Deleted: 6
% 10.03/10.38 Deletedinuse: 3
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 38290
% 10.03/10.38 Kept: 13963
% 10.03/10.38 Inuse: 470
% 10.03/10.38 Deleted: 11
% 10.03/10.38 Deletedinuse: 5
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 46077
% 10.03/10.38 Kept: 16135
% 10.03/10.38 Inuse: 520
% 10.03/10.38 Deleted: 11
% 10.03/10.38 Deletedinuse: 5
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 53913
% 10.03/10.38 Kept: 19091
% 10.03/10.38 Inuse: 545
% 10.03/10.38 Deleted: 11
% 10.03/10.38 Deletedinuse: 5
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying clauses:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 58868
% 10.03/10.38 Kept: 21098
% 10.03/10.38 Inuse: 578
% 10.03/10.38 Deleted: 204
% 10.03/10.38 Deletedinuse: 5
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 65466
% 10.03/10.38 Kept: 23295
% 10.03/10.38 Inuse: 635
% 10.03/10.38 Deleted: 204
% 10.03/10.38 Deletedinuse: 5
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 71347
% 10.03/10.38 Kept: 25311
% 10.03/10.38 Inuse: 683
% 10.03/10.38 Deleted: 204
% 10.03/10.38 Deletedinuse: 5
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 80274
% 10.03/10.38 Kept: 27926
% 10.03/10.38 Inuse: 700
% 10.03/10.38 Deleted: 204
% 10.03/10.38 Deletedinuse: 5
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 86923
% 10.03/10.38 Kept: 29945
% 10.03/10.38 Inuse: 728
% 10.03/10.38 Deleted: 206
% 10.03/10.38 Deletedinuse: 7
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 95579
% 10.03/10.38 Kept: 32484
% 10.03/10.38 Inuse: 750
% 10.03/10.38 Deleted: 206
% 10.03/10.38 Deletedinuse: 7
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38 Resimplifying inuse:
% 10.03/10.38 Done
% 10.03/10.38
% 10.03/10.38
% 10.03/10.38 Intermediate Status:
% 10.03/10.38 Generated: 102415
% 44.90/45.29 Kept: 34497
% 44.90/45.29 Inuse: 788
% 44.90/45.29 Deleted: 206
% 44.90/45.29 Deletedinuse: 7
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 108631
% 44.90/45.29 Kept: 36504
% 44.90/45.29 Inuse: 809
% 44.90/45.29 Deleted: 206
% 44.90/45.29 Deletedinuse: 7
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 115096
% 44.90/45.29 Kept: 38515
% 44.90/45.29 Inuse: 831
% 44.90/45.29 Deleted: 206
% 44.90/45.29 Deletedinuse: 7
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 130960
% 44.90/45.29 Kept: 42024
% 44.90/45.29 Inuse: 843
% 44.90/45.29 Deleted: 206
% 44.90/45.29 Deletedinuse: 7
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying clauses:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 137521
% 44.90/45.29 Kept: 44273
% 44.90/45.29 Inuse: 865
% 44.90/45.29 Deleted: 436
% 44.90/45.29 Deletedinuse: 7
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 143941
% 44.90/45.29 Kept: 46381
% 44.90/45.29 Inuse: 885
% 44.90/45.29 Deleted: 436
% 44.90/45.29 Deletedinuse: 7
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 152423
% 44.90/45.29 Kept: 48549
% 44.90/45.29 Inuse: 915
% 44.90/45.29 Deleted: 437
% 44.90/45.29 Deletedinuse: 8
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 161252
% 44.90/45.29 Kept: 51126
% 44.90/45.29 Inuse: 940
% 44.90/45.29 Deleted: 437
% 44.90/45.29 Deletedinuse: 8
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 169062
% 44.90/45.29 Kept: 53134
% 44.90/45.29 Inuse: 960
% 44.90/45.29 Deleted: 437
% 44.90/45.29 Deletedinuse: 8
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 180917
% 44.90/45.29 Kept: 56399
% 44.90/45.29 Inuse: 980
% 44.90/45.29 Deleted: 437
% 44.90/45.29 Deletedinuse: 8
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 202815
% 44.90/45.29 Kept: 59495
% 44.90/45.29 Inuse: 1000
% 44.90/45.29 Deleted: 438
% 44.90/45.29 Deletedinuse: 9
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 216351
% 44.90/45.29 Kept: 61514
% 44.90/45.29 Inuse: 1012
% 44.90/45.29 Deleted: 438
% 44.90/45.29 Deletedinuse: 9
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying clauses:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 222187
% 44.90/45.29 Kept: 63559
% 44.90/45.29 Inuse: 1026
% 44.90/45.29 Deleted: 770
% 44.90/45.29 Deletedinuse: 9
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 227733
% 44.90/45.29 Kept: 65620
% 44.90/45.29 Inuse: 1041
% 44.90/45.29 Deleted: 770
% 44.90/45.29 Deletedinuse: 9
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 235729
% 44.90/45.29 Kept: 67662
% 44.90/45.29 Inuse: 1066
% 44.90/45.29 Deleted: 770
% 44.90/45.29 Deletedinuse: 9
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 243745
% 44.90/45.29 Kept: 69754
% 44.90/45.29 Inuse: 1095
% 44.90/45.29 Deleted: 770
% 44.90/45.29 Deletedinuse: 9
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 255623
% 44.90/45.29 Kept: 72884
% 44.90/45.29 Inuse: 1130
% 44.90/45.29 Deleted: 771
% 44.90/45.29 Deletedinuse: 10
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 264070
% 44.90/45.29 Kept: 75256
% 44.90/45.29 Inuse: 1145
% 44.90/45.29 Deleted: 771
% 44.90/45.29 Deletedinuse: 10
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 271623
% 44.90/45.29 Kept: 77277
% 44.90/45.29 Inuse: 1158
% 44.90/45.29 Deleted: 771
% 44.90/45.29 Deletedinuse: 10
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 279767
% 44.90/45.29 Kept: 79300
% 44.90/45.29 Inuse: 1184
% 44.90/45.29 Deleted: 771
% 44.90/45.29 Deletedinuse: 10
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 294023
% 44.90/45.29 Kept: 81316
% 44.90/45.29 Inuse: 1201
% 44.90/45.29 Deleted: 771
% 44.90/45.29 Deletedinuse: 10
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying clauses:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 300848
% 44.90/45.29 Kept: 83445
% 44.90/45.29 Inuse: 1225
% 44.90/45.29 Deleted: 934
% 44.90/45.29 Deletedinuse: 11
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 308891
% 44.90/45.29 Kept: 85517
% 44.90/45.29 Inuse: 1245
% 44.90/45.29 Deleted: 934
% 44.90/45.29 Deletedinuse: 11
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29
% 44.90/45.29 Intermediate Status:
% 44.90/45.29 Generated: 319384
% 44.90/45.29 Kept: 88855
% 44.90/45.29 Inuse: 1260
% 44.90/45.29 Deleted: 934
% 44.90/45.29 Deletedinuse: 11
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 44.90/45.29
% 44.90/45.29 Resimplifying inuse:
% 44.90/45.29 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 326407
% 109.73/110.23 Kept: 91022
% 109.73/110.23 Inuse: 1266
% 109.73/110.23 Deleted: 934
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 332929
% 109.73/110.23 Kept: 93055
% 109.73/110.23 Inuse: 1285
% 109.73/110.23 Deleted: 934
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 347948
% 109.73/110.23 Kept: 97322
% 109.73/110.23 Inuse: 1300
% 109.73/110.23 Deleted: 934
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 355928
% 109.73/110.23 Kept: 99403
% 109.73/110.23 Inuse: 1325
% 109.73/110.23 Deleted: 934
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 362611
% 109.73/110.23 Kept: 101439
% 109.73/110.23 Inuse: 1347
% 109.73/110.23 Deleted: 934
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying clauses:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 379841
% 109.73/110.23 Kept: 105747
% 109.73/110.23 Inuse: 1370
% 109.73/110.23 Deleted: 1469
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 386795
% 109.73/110.23 Kept: 107811
% 109.73/110.23 Inuse: 1385
% 109.73/110.23 Deleted: 1469
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 407533
% 109.73/110.23 Kept: 113365
% 109.73/110.23 Inuse: 1405
% 109.73/110.23 Deleted: 1469
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 433890
% 109.73/110.23 Kept: 116588
% 109.73/110.23 Inuse: 1415
% 109.73/110.23 Deleted: 1469
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 451045
% 109.73/110.23 Kept: 118894
% 109.73/110.23 Inuse: 1425
% 109.73/110.23 Deleted: 1469
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 462490
% 109.73/110.23 Kept: 121340
% 109.73/110.23 Inuse: 1435
% 109.73/110.23 Deleted: 1469
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying clauses:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 473554
% 109.73/110.23 Kept: 123366
% 109.73/110.23 Inuse: 1459
% 109.73/110.23 Deleted: 1569
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 489141
% 109.73/110.23 Kept: 125382
% 109.73/110.23 Inuse: 1466
% 109.73/110.23 Deleted: 1569
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 503765
% 109.73/110.23 Kept: 128195
% 109.73/110.23 Inuse: 1470
% 109.73/110.23 Deleted: 1569
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 567748
% 109.73/110.23 Kept: 136009
% 109.73/110.23 Inuse: 1480
% 109.73/110.23 Deleted: 1569
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 621047
% 109.73/110.23 Kept: 142233
% 109.73/110.23 Inuse: 1485
% 109.73/110.23 Deleted: 1569
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying clauses:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 629025
% 109.73/110.23 Kept: 144349
% 109.73/110.23 Inuse: 1497
% 109.73/110.23 Deleted: 1709
% 109.73/110.23 Deletedinuse: 11
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 639445
% 109.73/110.23 Kept: 147066
% 109.73/110.23 Inuse: 1505
% 109.73/110.23 Deleted: 1711
% 109.73/110.23 Deletedinuse: 13
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 648104
% 109.73/110.23 Kept: 149367
% 109.73/110.23 Inuse: 1520
% 109.73/110.23 Deleted: 1711
% 109.73/110.23 Deletedinuse: 13
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 662749
% 109.73/110.23 Kept: 151415
% 109.73/110.23 Inuse: 1543
% 109.73/110.23 Deleted: 1711
% 109.73/110.23 Deletedinuse: 13
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 671907
% 109.73/110.23 Kept: 153461
% 109.73/110.23 Inuse: 1556
% 109.73/110.23 Deleted: 1712
% 109.73/110.23 Deletedinuse: 14
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 693604
% 109.73/110.23 Kept: 156788
% 109.73/110.23 Inuse: 1560
% 109.73/110.23 Deleted: 1712
% 109.73/110.23 Deletedinuse: 14
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 715144
% 109.73/110.23 Kept: 160776
% 109.73/110.23 Inuse: 1575
% 109.73/110.23 Deleted: 1713
% 109.73/110.23 Deletedinuse: 15
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23
% 109.73/110.23 Intermediate Status:
% 109.73/110.23 Generated: 722958
% 109.73/110.23 Kept: 163072
% 109.73/110.23 Inuse: 1600
% 109.73/110.23 Deleted: 1713
% 109.73/110.23 Deletedinuse: 15
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying clauses:
% 109.73/110.23 Done
% 109.73/110.23
% 109.73/110.23 Resimplifying inuse:
% 109.73/110.23 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 730221
% 212.91/213.41 Kept: 165170
% 212.91/213.41 Inuse: 1620
% 212.91/213.41 Deleted: 1996
% 212.91/213.41 Deletedinuse: 15
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 742836
% 212.91/213.41 Kept: 167673
% 212.91/213.41 Inuse: 1625
% 212.91/213.41 Deleted: 1996
% 212.91/213.41 Deletedinuse: 15
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 756191
% 212.91/213.41 Kept: 170082
% 212.91/213.41 Inuse: 1630
% 212.91/213.41 Deleted: 1996
% 212.91/213.41 Deletedinuse: 15
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 765545
% 212.91/213.41 Kept: 173016
% 212.91/213.41 Inuse: 1640
% 212.91/213.41 Deleted: 1997
% 212.91/213.41 Deletedinuse: 16
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 771075
% 212.91/213.41 Kept: 175105
% 212.91/213.41 Inuse: 1650
% 212.91/213.41 Deleted: 1999
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 776789
% 212.91/213.41 Kept: 177205
% 212.91/213.41 Inuse: 1665
% 212.91/213.41 Deleted: 1999
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 783941
% 212.91/213.41 Kept: 179748
% 212.91/213.41 Inuse: 1680
% 212.91/213.41 Deleted: 1999
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 809686
% 212.91/213.41 Kept: 183813
% 212.91/213.41 Inuse: 1695
% 212.91/213.41 Deleted: 1999
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying clauses:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 816165
% 212.91/213.41 Kept: 186159
% 212.91/213.41 Inuse: 1710
% 212.91/213.41 Deleted: 2120
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 822050
% 212.91/213.41 Kept: 188274
% 212.91/213.41 Inuse: 1720
% 212.91/213.41 Deleted: 2120
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 829864
% 212.91/213.41 Kept: 190542
% 212.91/213.41 Inuse: 1730
% 212.91/213.41 Deleted: 2120
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 837559
% 212.91/213.41 Kept: 192774
% 212.91/213.41 Inuse: 1740
% 212.91/213.41 Deleted: 2120
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 847606
% 212.91/213.41 Kept: 195388
% 212.91/213.41 Inuse: 1750
% 212.91/213.41 Deleted: 2120
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 857649
% 212.91/213.41 Kept: 198146
% 212.91/213.41 Inuse: 1760
% 212.91/213.41 Deleted: 2120
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 865977
% 212.91/213.41 Kept: 200294
% 212.91/213.41 Inuse: 1770
% 212.91/213.41 Deleted: 2120
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 876223
% 212.91/213.41 Kept: 203024
% 212.91/213.41 Inuse: 1780
% 212.91/213.41 Deleted: 2120
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying clauses:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 902327
% 212.91/213.41 Kept: 208667
% 212.91/213.41 Inuse: 1790
% 212.91/213.41 Deleted: 2136
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 912139
% 212.91/213.41 Kept: 211411
% 212.91/213.41 Inuse: 1805
% 212.91/213.41 Deleted: 2136
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 919201
% 212.91/213.41 Kept: 213419
% 212.91/213.41 Inuse: 1822
% 212.91/213.41 Deleted: 2136
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 933517
% 212.91/213.41 Kept: 217239
% 212.91/213.41 Inuse: 1830
% 212.91/213.41 Deleted: 2136
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 949068
% 212.91/213.41 Kept: 220102
% 212.91/213.41 Inuse: 1840
% 212.91/213.41 Deleted: 2136
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 957504
% 212.91/213.41 Kept: 222585
% 212.91/213.41 Inuse: 1855
% 212.91/213.41 Deleted: 2136
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 980754
% 212.91/213.41 Kept: 225963
% 212.91/213.41 Inuse: 1865
% 212.91/213.41 Deleted: 2136
% 212.91/213.41 Deletedinuse: 18
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41 Resimplifying clauses:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 1001540
% 212.91/213.41 Kept: 228371
% 212.91/213.41 Inuse: 1870
% 212.91/213.41 Deleted: 3015
% 212.91/213.41 Deletedinuse: 20
% 212.91/213.41
% 212.91/213.41 Resimplifying inuse:
% 212.91/213.41 Done
% 212.91/213.41
% 212.91/213.41
% 212.91/213.41 Intermediate Status:
% 212.91/213.41 Generated: 1021502
% 212.91/213.41 Kept: 230795
% 212.91/213.41 Inuse: 1875
% 212.91/213.41 Deleted: 3015
% 212.91/213.41 Deletedinuse: 20
% 212.91/213.41
% 212.91/213.41 ResimplCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------