TSTP Solution File: SWV916-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV916-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:11 EDT 2022
% Result : Timeout 300.06s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV916-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.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 06:49:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.89/1.25 *** allocated 10000 integers for termspace/termends
% 0.89/1.25 *** allocated 10000 integers for clauses
% 0.89/1.25 *** allocated 10000 integers for justifications
% 0.89/1.25 *** allocated 15000 integers for termspace/termends
% 0.89/1.25 Bliksem 1.12
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 Automatic Strategy Selection
% 0.89/1.25
% 0.89/1.25 Clauses:
% 0.89/1.25 [
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.89/1.25 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( U, Y, Z, T ) ) ),
% 0.89/1.25 =( hAPP( X, W ), hAPP( U, W ) ), ~( hBOOL( 'c_in'( W, 'c_List_Oset'( Y, Z
% 0.89/1.25 ), Z ) ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_List_Oset'( Y, Z ) ), 'c_List_Ofoldl'( T, U, Y, Z, Z )
% 0.89/1.25 ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, T, V2, V3
% 0.89/1.25 , U, Z ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_List_Oset'( Y, Z ) ), 'c_List_Ofoldl'( T, U, Y, Z, Z )
% 0.89/1.25 ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, T, U,
% 0.89/1.25 V3, Z ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( 'c_List_Oset'( Y, X ), X ),
% 0.89/1.25 'c_List_Ofoldl'( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ), Y, X, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.89/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.89/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.89/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.89/1.25 X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.89/1.25 X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.89/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.89/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.89/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.89/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.89/1.25 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.89/1.25 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.89/1.25 ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.89/1.25 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'(
% 0.89/1.25 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ), X, 'tc_bool', 'tc_bool' ), Z )
% 0.89/1.25 , X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.25 hBOOL( hAPP( Z, Y ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25 [ 'c_List_Olist__all2'( X, 'c_List_Omap'( Y, Z, T, U ), W, U, V0 ), ~(
% 0.89/1.25 'c_List_Olist__all2'( hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( V0, 'tc_bool' )
% 0.89/1.25 , T ), X ), Y ), Z, W, T, V0 ) ) ],
% 0.89/1.25 [ 'c_List_Olist__all2'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( Y, 'tc_bool'
% 0.89/1.25 ), Z ), T ), U ), W, V0, Z, Y ), ~( 'c_List_Olist__all2'( T,
% 0.89/1.25 'c_List_Omap'( U, W, Z, X ), V0, X, Y ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'(
% 0.89/1.25 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate',
% 0.89/1.25 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ),
% 0.89/1.25 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), Z, 'c_COMBK'( hAPP( T,
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'(
% 0.89/1.25 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 0.89/1.25 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 0.89/1.25 't_a' ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 0.89/1.25 , 'tc_bool' ), 'tc_Com_Ostate' ), 'c_and' ), hAPP( 'c_fequal'(
% 0.89/1.25 'tc_Com_Ostate' ), 'v_sko__Hoare__Mirabelle__Xexport__s__1'( X, Y, T, Z )
% 0.89/1.25 ) ), 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ), Y ), Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OWhile'( Z, T ),
% 0.89/1.25 'c_Hoare__Mirabelle_Opeek__and'( Y, 'c_Fun_Ocomp'( 'c_Not', Z, 'tc_bool'
% 0.89/1.25 , 'tc_bool', 'tc_Com_Ostate' ), U ), U ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 U ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ) ), U ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__valids'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Y
% 0.89/1.25 , Z, U ), T, Y, U ), 'tc_Hoare__Mirabelle_Otriple'( U ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 U ), 'tc_bool' ) ) ), U ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_List_Oset'( Y,
% 0.89/1.25 Z ), T, Z, X ), 'c_List_Ofoldl'( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X,
% 0.89/1.25 'tc_fun'( X, X ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.89/1.25 ), T ), Z, X, X ), 'c_Orderings_Obot__class_Obot'( X ), Y, X, Z ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.89/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), T ) ) ) ],
% 0.89/1.25 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 0.89/1.25 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevalc'( Z, Y, T ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Z, U ), Y, T ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( Y, T, U ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_List_Olist__all2'( 'c_fequal'( Z ), X, Y, Z, Z ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 0.89/1.25 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.25 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), U, T ) ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( Y, Z, U ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, U ), ~(
% 0.89/1.25 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), W, T, U ) ), ~(
% 0.89/1.25 'c_Natural_Oevaln'( Y, Z, T, W ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_COMBS'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.89/1.25 hAPP( U, W ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.25 [ =( 'c_COMBI'( X, Y ), X ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.89/1.25 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 , Z ) ), T ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( X, Y ) ) ), 'c_Natural_Oevaln'( Z, Y, T, U ), ~(
% 0.89/1.25 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Z, W ), Y, T, U ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 0.89/1.25 'c_Natural_Oevaln'( Y, T, U, W ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.25 [ =( 'c_Com_Ovname_Ovname__rec'( X, Y, 'c_Com_Ovname_OGlb'( Z ), T ),
% 0.89/1.25 hAPP( X, Z ) ) ],
% 0.89/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 0.89/1.25 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 0.89/1.25 , Z ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.89/1.25 [ =( 'c_Com_Ovname_Ovname__case'( X, Y, 'c_Com_Ovname_OGlb'( Z ), T ),
% 0.89/1.25 hAPP( X, Z ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.89/1.25 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( Y, X, Z ) ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z
% 0.89/1.25 ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.89/1.25 , 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.89/1.25 , 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OWhile'( X, Y ), Z, T, Z ), hBOOL(
% 0.89/1.25 hAPP( X, Z ) ) ],
% 0.89/1.25 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.89/1.25 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.25 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.89/1.25 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( hAPP( X, Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T
% 0.89/1.25 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.89/1.25 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 0.89/1.25 , 'c_Set_Oinsert'( T, Y ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( T, Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, Z, 'tc_fun'(
% 0.89/1.25 Y, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OLocal'( Y, Z, T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ), Z, Z ), hBOOL( hAPP(
% 0.89/1.25 X, Z ) ) ],
% 0.89/1.25 [ =( X, hAPP( hAPP( hAPP( 'c_Natural_Oupdate', Y ), Z ), hAPP( T, Y ) )
% 0.89/1.25 ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OAss'( Z, T ), Y, U, X ) ) ],
% 0.89/1.25 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.89/1.25 , T ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.89/1.25 , Z ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.89/1.25 ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y
% 0.89/1.25 ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OAss'( Y, Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.89/1.25 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.89/1.25 ), X ) ],
% 0.89/1.25 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 0.89/1.25 X ), Y ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.89/1.25 , =( Z, W ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.89/1.25 , =( Y, U ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.89/1.25 , =( X, T ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.89/1.25 ) ],
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.89/1.25 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'(
% 0.89/1.25 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ), X, 'tc_bool', 'tc_bool' ), Z )
% 0.89/1.25 , X ), hAPP( 'c_Set_Oinsert'( Y, X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ovname_OGlb'( X ), 'c_Com_Ovname_OGlb'( Y ) ) ), =( X, Y
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OLocal'( X, Y, Z ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Natural_Oevaln'( X, Y, Z, T ), hBOOL( hAPP( U, Y ) ), ~(
% 0.89/1.25 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( U, W, X ), Y, Z, T ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U, W ), ~(
% 0.89/1.25 'c_Natural_Oevaln'( Z, T, U, W ) ), hBOOL( hAPP( X, T ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ],
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.89/1.25 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ), X, 'tc_bool',
% 0.89/1.25 'tc_bool' ), Z ), X ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , 'c_Collect'( Y, X ) ), 'c_Collect'( Z, X ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.25 , T ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.25 , T ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 X, Z ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.89/1.25 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.89/1.25 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.89/1.25 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.89/1.25 hBOOL( 'c_in'( Y, X, Z ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.25 , Z ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( T, Z ), Y ),
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.89/1.25 hBOOL( 'c_in'( Y, X, Z ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.25 , hAPP( 'c_Set_Oinsert'( T, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.89/1.25 'c_in'( T, X, Z ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X,
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.89/1.25 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X,
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.89/1.25 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), Z ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.89/1.25 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.89/1.25 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.89/1.25 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.25 [ =( X, hAPP( hAPP( hAPP( 'c_Natural_Oupdate', Y ), Z ), hAPP( T, Y ) )
% 0.89/1.25 ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OAss'( Z, T ), Y, X ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), X ),
% 0.89/1.25 Y ) ), Z ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.89/1.25 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.89/1.25 , V3, V4, U ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.89/1.25 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.89/1.25 , V3, V4, U ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Z ), Y ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.89/1.25 =( X, Z ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.89/1.25 =( Y, T ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T
% 0.89/1.25 , 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ), hBOOL(
% 0.89/1.25 'c_in'( X, T, Y ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.89/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.25 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevaln'( X, hAPP( hAPP( hAPP( 'c_Natural_Oupdate', Y ),
% 0.89/1.25 'c_Com_Ovname_OLoc'( Z ) ), hAPP( T, Y ) ), U,
% 0.89/1.25 'c_Natural_Osko__Natural__Xevaln__elim__cases__3__1'( Z, T, X, U, Y, W )
% 0.89/1.25 ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OLocal'( Z, T, X ), Y, U, W ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Natural_Oevalc'( X, hAPP( hAPP( hAPP( 'c_Natural_Oupdate', Y ),
% 0.89/1.25 'c_Com_Ovname_OLoc'( Z ) ), hAPP( T, Y ) ),
% 0.89/1.25 'c_Natural_Osko__Natural__Xevalc__elim__cases__3__1'( Z, T, X, Y, U ) ),
% 0.89/1.25 ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OLocal'( Z, T, X ), Y, U ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.89/1.25 , V2, Z, Y ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.89/1.25 , Z, V2, Y ) ) ],
% 0.89/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.25 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.25 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.25 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ), Y ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25 ) ) ), Y ), Y ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.89/1.25 ), X ), hAPP( 'c_Set_Oinsert'( Y, X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.25 hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ), Z ), ~( hBOOL( 'c_in'(
% 0.89/1.25 X, Z, Y ) ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.89/1.25 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ),
% 0.89/1.25 'c_Set_Oinsert'( Z, Y ) ), T ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.89/1.25 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 0.89/1.25 , 'c_Set_Oinsert'( T, Y ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( T, Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, Z, 'tc_fun'(
% 0.89/1.25 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.25 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 Z, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ), U ), 'c_Set_Oinsert'( X, Y ) ), T ), U, 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.89/1.25 hAPP( 'c_Set_Oinsert'( Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ) ) ), X ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y
% 0.89/1.25 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.89/1.25 hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), Z ), hBOOL( 'c_in'( X, Z
% 0.89/1.25 , Y ) ) ],
% 0.89/1.25 [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( X, Y ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), Z ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), Z ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25 [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ) ), hAPP( hAPP( U, Y ),
% 0.89/1.25 hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0,
% 0.89/1.25 V1, U, V2, V3, V4, Z ) ) ],
% 0.89/1.25 [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ) ), hAPP( hAPP( U, Y ),
% 0.89/1.25 hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0,
% 0.89/1.25 V1, V2, U, V3, V4, Z ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP(
% 0.89/1.25 'c_Set_Oinsert'( T, Z ), Y ), Z ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), X ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), hAPP( 'c_Set_Oinsert'( Z, X ), T ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( Z, X ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), T ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y, X ), Z ) ), T ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( Y, X ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Z ), T ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.25 hAPP( 'c_Set_Oinsert'( T, Z ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ) ) ],
% 0.89/1.25 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( 'c_Set_Oinsert'( X, Y
% 0.89/1.25 ), T ) ) ), hBOOL( 'c_in'( X, T, Y ) ), hBOOL( 'c_in'( X, Z, Y ) ), =( Z
% 0.89/1.25 , T ) ],
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Z ), ~( hBOOL( 'c_in'( X, Z, Y
% 0.89/1.25 ) ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 0.89/1.25 Z, T, Y ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.89/1.25 hAPP( 'c_COMBB'( 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z )
% 0.89/1.25 , hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), T ) ), U ), Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 , T ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, U, Z,
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_Collect'( 'c_COMBK'( 'c_False', 'tc_bool', X ), X ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.89/1.25 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( X, Y, Z ), hBOOL( hAPP( T, Y ) ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T, U, X ), Y, Z ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ), T, U ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( Z, T, U ) ), hBOOL( hAPP( X, T ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OAss'( X, Y ) ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.89/1.25 'c_Set_Oinsert'( X, Y ), Z ), T, Y, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.89/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.89/1.25 'tc_bool' ) ), hAPP( T, X ) ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, Y, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.89/1.25 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ),
% 0.89/1.25 Y ) ), X, 'tc_bool', 'tc_bool' ), Z ), X ), hAPP( 'c_Set_Oinsert'( Y, X )
% 0.89/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.25 hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.89/1.25 Z, Y, X ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.25 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.89/1.25 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.89/1.25 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( Y,
% 0.89/1.25 T ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( X,
% 0.89/1.25 Z ) ],
% 0.89/1.25 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OAss'( X, Y ), Z, T, hAPP( hAPP( hAPP(
% 0.89/1.25 'c_Natural_Oupdate', Z ), X ), hAPP( Y, Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.89/1.25 , 'v_x' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T, 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.89/1.25 hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.89/1.25 ), =( Z, W ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.89/1.25 ), =( Y, U ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 0.89/1.25 ), =( X, T ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( X, 'c_Com_Ovname_Ovname__case'( Y, Z,
% 0.89/1.25 'c_Com_Ovname_OGlb'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( hBOOL( hAPP( X, 'c_Com_Ovname_Ovname__case'( Y, Z,
% 0.89/1.25 'c_Com_Ovname_OGlb'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevalc'(
% 0.89/1.25 'c_Com_Ocom_OWhile'( X, T ), Y, Z ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OAss'( X, Y ), Z, hAPP( hAPP( hAPP(
% 0.89/1.25 'c_Natural_Oupdate', Z ), X ), hAPP( Y, Z ) ) ) ],
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.89/1.25 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ),
% 0.89/1.25 Y ) ), X, 'tc_bool', 'tc_bool' ), Z ), X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.25 Z, Y ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.89/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.89/1.25 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 0.89/1.25 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 0.89/1.25 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 0.89/1.25 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 0.89/1.25 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 0.89/1.25 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 0.89/1.25 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 0.89/1.25 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 0.89/1.25 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 0.89/1.25 V0, V1, Z, Y, V2 ) ) ],
% 0.89/1.25 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 0.89/1.25 V0, V1, Y, Z, V2 ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 0.89/1.25 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 0.89/1.25 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 0.89/1.25 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 0.89/1.25 V2, V3, V4 ) ) ],
% 0.89/1.25 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 0.89/1.25 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 0.89/1.25 V2, V3, V4 ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom'
% 0.89/1.25 ), Y, Z ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ), Y, Z ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' )
% 0.89/1.25 , Y, Z ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.25 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.89/1.25 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.25 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.89/1.25 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.89/1.25 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.89/1.25 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.89/1.25 , V4 ), W ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( 'c_Natural_Oevaln'(
% 0.89/1.25 'c_Com_Ocom_OWhile'( X, T ), Y, U, Z ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.89/1.25 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.89/1.25 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.25 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.25 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.89/1.25 [ 'c_List_Olist__all2'( 'c_fequal'( X ), Y, Y, X, X ) ],
% 0.89/1.25 [ 'c_Natural_Oevaln'( X, Y, Z, T ), 'c_Natural_Oevaln'( U, Y, Z, T ),
% 0.89/1.25 ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OCond'( W, U, X ), Y, Z, T ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 Z, hAPP( hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ), U ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ) ), T ), U, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.25 =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( X, Y, Z ), 'c_Natural_Oevalc'( T, Y, Z ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ), Y, Z ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.25 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.89/1.25 Y, Z, X ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ =( 'c_COMBI'( 'v_P', 't_a' ), 'v_P' ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ovname_OLoc'( X ), 'c_Com_Ovname_OGlb'( Y ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ovname_OGlb'( X ), 'c_Com_Ovname_OLoc'( Y ) ) ) ],
% 0.89/1.25 [ =( 'c_Com_Ovname_Ovname__case'( X, Y, 'c_Com_Ovname_OLoc'( Z ), T ),
% 0.89/1.25 hAPP( Y, Z ) ) ],
% 0.89/1.25 [ =( 'c_Com_Ovname_Ovname__rec'( X, Y, 'c_Com_Ovname_OLoc'( Z ), T ),
% 0.89/1.25 hAPP( Y, Z ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( X, 'c_Com_Ovname_Ovname__case'( Y, Z,
% 0.89/1.25 'c_Com_Ovname_OLoc'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( hBOOL( hAPP( X, 'c_Com_Ovname_Ovname__case'( Y, Z,
% 0.89/1.25 'c_Com_Ovname_OLoc'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_COMBS'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.89/1.25 ), hAPP( hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.89/1.25 [ =( X, hAPP( hAPP( hAPP( 'c_Natural_Oupdate',
% 0.89/1.25 'c_Natural_Osko__Natural__Xevalc__elim__cases__3__1'( Y, Z, T, U, X ) ),
% 0.89/1.25 'c_Com_Ovname_OLoc'( Y ) ), 'c_Natural_Ogetlocs'( U, Y ) ) ), ~(
% 0.89/1.25 'c_Natural_Oevalc'( 'c_Com_Ocom_OLocal'( Y, Z, T ), U, X ) ) ],
% 0.89/1.25 [ =( X, hAPP( hAPP( hAPP( 'c_Natural_Oupdate',
% 0.89/1.25 'c_Natural_Osko__Natural__Xevaln__elim__cases__3__1'( Y, Z, T, U, W, X )
% 0.89/1.25 ), 'c_Com_Ovname_OLoc'( Y ) ), 'c_Natural_Ogetlocs'( W, Y ) ) ), ~(
% 0.89/1.25 'c_Natural_Oevaln'( 'c_Com_Ocom_OLocal'( Y, Z, T ), W, U, X ) ) ],
% 0.89/1.25 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 0.89/1.25 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 0.89/1.25 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 0.89/1.25 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 0.89/1.25 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 0.89/1.25 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OWhile'( Z, T ),
% 0.89/1.25 'c_Hoare__Mirabelle_Opeek__and'( Y, 'c_Fun_Ocomp'( 'c_Not', Z, 'tc_bool'
% 0.89/1.25 , 'tc_bool', 'tc_Com_Ostate' ), U ), U ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 U ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ) ), U ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Y
% 0.89/1.25 , Z, U ), T, Y, U ), 'tc_Hoare__Mirabelle_Otriple'( U ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 U ), 'tc_bool' ) ) ), U ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, 'c_COMBK'( 'c_COMBK'(
% 0.89/1.25 'c_True', 'tc_bool', 'tc_Com_Ostate' ), 'tc_fun'( 'tc_Com_Ostate',
% 0.89/1.25 'tc_bool' ), T ), T ), 'tc_Hoare__Mirabelle_Otriple'( T ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 T ), 'tc_bool' ) ) ), T ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Z, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), ~( hBOOL( hAPP( hAPP( Z, 'v_sko__Hoare__Mirabelle__Xhoare__SkipI__1'(
% 0.89/1.25 Y, Z ) ), 'v_sko__Hoare__Mirabelle__Xhoare__SkipI__2'( Y, Z ) ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( 'c_COMBK'( 'c_False',
% 0.89/1.25 'tc_bool', 'tc_Com_Ostate' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), Y )
% 0.89/1.25 , Z, T, Y ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.89/1.25 , 'tc_Hoare__Mirabelle_Otriple'( U ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ) ), U ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.89/1.25 , 'tc_Hoare__Mirabelle_Otriple'( U ) ), X ), hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( 'c_Com_Obody'(
% 0.89/1.25 Z ), 'tc_Com_Ocom' ), T, U ), 'tc_Hoare__Mirabelle_Otriple'( U ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 U ), 'tc_bool' ) ) ), U ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Z, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xhoare__SkipI__1'( Y
% 0.89/1.25 , Z ) ), 'v_sko__Hoare__Mirabelle__Xhoare__SkipI__2'( Y, Z ) ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.89/1.25 , 'tc_Hoare__Mirabelle_Otriple'( U ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ) ), U ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( 'c_Com_Obody'(
% 0.89/1.25 Z ), 'tc_Com_Ocom' ), T, U ), 'tc_Hoare__Mirabelle_Otriple'( U ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 U ), 'tc_bool' ) ) ), U ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OCond'( Z, T, U ), W
% 0.89/1.25 , V0 ), 'tc_Hoare__Mirabelle_Otriple'( V0 ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 V0 ), 'tc_bool' ) ) ), V0 ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.89/1.25 hAPP( 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.89/1.25 'c_Hoare__Mirabelle_Opeek__and'( Y, 'c_Fun_Ocomp'( 'c_Not', Z, 'tc_bool'
% 0.89/1.25 , 'tc_bool', 'tc_Com_Ostate' ), V0 ), U, W, V0 ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( V0 ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( V0 ), 'tc_bool' ) ) ), V0 ) ),
% 0.89/1.25 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Y
% 0.89/1.25 , Z, V0 ), T, W, V0 ), 'tc_Hoare__Mirabelle_Otriple'( V0 ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 V0 ), 'tc_bool' ) ) ), V0 ) ) ],
% 0.89/1.25 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 0.89/1.25 'c_List_Ofoldl'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0
% 0.89/1.25 ), 'tc_fun'( 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W,
% 0.89/1.25 V0, U ) ), X ), V0, 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), Z ), Y, T, V0
% 0.89/1.25 , U ) ) ],
% 0.89/1.25 [ 'c_Lattices_Oboolean__algebra'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 0.89/1.25 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ),
% 0.89/1.25 'c_COMBB'( X, X, X ) ), Y ), X, 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), Z )
% 0.89/1.25 , Z, 'c_COMBC'( T, X, X, 'tc_bool' ), 'c_COMBC'( U, X, X, 'tc_bool' ), Y
% 0.89/1.25 , W, V0, V1, X ), ~( 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y,
% 0.89/1.25 V1, V0, X ) ) ],
% 0.89/1.25 [ 'c_List_Olist__all2'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ), ~(
% 0.89/1.25 'c_List_Olist__all2'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W
% 0.89/1.25 , 'tc_bool' ), 'tc_fun'( 'tc_fun'( U, W ), 'tc_fun'( U, 'tc_bool' ) ), V0
% 0.89/1.25 ), 'c_COMBB'( W, 'tc_bool', U ) ), X ), V0, 'tc_fun'( U, W ), 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), Z ), Y, T, V0, U ) ) ],
% 0.89/1.25 [ 'c_List_Olist__all2'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y, X ), 'tc_fun'( Y, 'tc_bool' ) ), Z
% 0.89/1.25 ), 'c_COMBB'( X, 'tc_bool', Y ) ), T ), Z, 'tc_fun'( Y, X ), 'tc_fun'( Y
% 0.89/1.25 , 'tc_bool' ) ), U ), W, V0, Z, Y ), ~( 'c_List_Olist__all2'( T, W,
% 0.89/1.25 'c_List_Omap'( U, V0, Y, X ), Z, X ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OLocal'( X, Y, Z ), T, hAPP( hAPP(
% 0.89/1.25 hAPP( 'c_Natural_Oupdate', U ), 'c_Com_Ovname_OLoc'( X ) ),
% 0.89/1.25 'c_Natural_Ogetlocs'( T, X ) ) ), ~( 'c_Natural_Oevalc'( Z, hAPP( hAPP(
% 0.89/1.25 hAPP( 'c_Natural_Oupdate', T ), 'c_Com_Ovname_OLoc'( X ) ), hAPP( Y, T )
% 0.89/1.25 ), U ) ) ],
% 0.89/1.25 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OLocal'( X, Y, Z ), T, U, hAPP( hAPP(
% 0.89/1.25 hAPP( 'c_Natural_Oupdate', W ), 'c_Com_Ovname_OLoc'( X ) ),
% 0.89/1.25 'c_Natural_Ogetlocs'( T, X ) ) ), ~( 'c_Natural_Oevaln'( Z, hAPP( hAPP(
% 0.89/1.25 hAPP( 'c_Natural_Oupdate', T ), 'c_Com_Ovname_OLoc'( X ) ), hAPP( Y, T )
% 0.89/1.25 ), U, W ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 Y, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( X, hAPP( 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), Y ), ~(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.89/1.25 ) ],
% 0.89/1.25 [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), Y ), ~(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.25 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( 'c_Set_Oinsert'( X, Y )
% 0.89/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( 'c_Set_Oinsert'( Y, Z
% 0.89/1.25 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ), Y
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMin'( hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( 'c_The'( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), X ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), hAPP( 'c_Set_Oinsert'( T, Z
% 0.89/1.25 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ),
% 0.89/1.25 hAPP( hAPP( U, Y ), T ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.89/1.25 , W, V0, V1, U, V2, V3, V4, Z ) ) ],
% 0.89/1.25 [ =( hAPP( X, hAPP( 'c_Set_Oinsert'( Y, Z ), hAPP( 'c_Set_Oinsert'( T, Z
% 0.89/1.25 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ),
% 0.89/1.25 hAPP( hAPP( U, Y ), T ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.25 , X, V0, V1, V2, U, V3, V4, Z ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T )
% 0.89/1.25 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.89/1.25 , 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T )
% 0.89/1.25 , 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP(
% 0.89/1.25 'c_Set_Oinsert'( X, T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 0.89/1.25 [ =( 'c_Set_Ocontents'( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), X ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP(
% 0.89/1.25 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), X ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ), Y ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMax'( hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.25 hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 X, Y ), Z ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( Y, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hBOOL(
% 0.89/1.25 'c_in'( X, Z, Y ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 , hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 Y, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OInf__class_OInf'( hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( U, W ),
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.89/1.25 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.89/1.25 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( U, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y
% 0.89/1.25 , V0, T, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U ) ) ) ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( U, W ),
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.89/1.25 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.89/1.25 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( Y,
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.89/1.25 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), ~( hBOOL( hAPP( hAPP( T,
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.89/1.25 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.89/1.25 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP(
% 0.89/1.25 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( Y,
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U )
% 0.89/1.25 ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U,
% 0.89/1.25 T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U )
% 0.89/1.25 ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), ~( hBOOL( hAPP( hAPP( T,
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.89/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.89/1.25 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), ~( hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U
% 0.89/1.25 ) ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y,
% 0.89/1.25 U, T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) )
% 0.89/1.25 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U
% 0.89/1.25 ) ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.25 ), hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T
% 0.89/1.25 , Z ) ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 0.89/1.25 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), Y )
% 0.89/1.25 , 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 0.89/1.25 'tc_bool' ), 'tc_Com_Ostate' ), 'c_and' ), hAPP( 'c_fequal'(
% 0.89/1.25 'tc_Com_Ostate' ), Z ) ), 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ), hAPP(
% 0.89/1.25 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' )
% 0.89/1.25 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_Com_Ostate' ), 'tc_fun'(
% 0.89/1.25 'tc_Com_Ostate', 'tc_bool' ) ), Y ), 'c_COMBB'( 'tc_Com_Ostate',
% 0.89/1.25 'tc_bool', 'tc_Com_Ostate' ) ), T ), Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.89/1.25 'tc_Com_Ostate' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), hAPP(
% 0.89/1.25 'c_COMBS'( hAPP( 'c_COMBC'( 'c_Natural_Oupdate', 'tc_Com_Ostate',
% 0.89/1.25 'tc_Com_Ovname', 'tc_fun'( 'tc_nat', 'tc_Com_Ostate' ) ),
% 0.89/1.25 'c_Com_Ovname_OLoc'( U ) ), 'tc_Com_Ostate', 'tc_nat', 'tc_Com_Ostate' )
% 0.89/1.25 , W ) ) ), 'c_Com_Ocom_OLocal'( U, W, V0 ), V1, Y ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( T, V0, hAPP( 'c_COMBC'( hAPP( hAPP(
% 0.89/1.25 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 0.89/1.25 'tc_Com_Ostate', 'tc_Com_Ostate' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 0.89/1.25 ) ), Y ), 'c_COMBB'( 'tc_Com_Ostate', 'tc_bool', 'tc_Com_Ostate' ) ), V1
% 0.89/1.25 ), Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_Com_Ostate' ), 'tc_fun'(
% 0.89/1.25 'tc_Com_Ostate', 'tc_bool' ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBC'(
% 0.89/1.25 'c_Natural_Oupdate', 'tc_Com_Ostate', 'tc_Com_Ovname', 'tc_fun'( 'tc_nat'
% 0.89/1.25 , 'tc_Com_Ostate' ) ), 'c_Com_Ovname_OLoc'( U ) ), 'tc_Com_Ostate',
% 0.89/1.25 'tc_nat', 'tc_Com_Ostate' ), 'c_Natural_Ogetlocs'( Z, U ) ) ), Y ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( 't_a', 't_b', 't_c' ), 'v_P' ), 'v_Q'
% 0.89/1.25 ), 'v_R' ), hAPP( 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.89/1.25 ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( Z ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), Z ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSemi'( Z, T ), U, W
% 0.89/1.25 ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ) ), W ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, U, W ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( W ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ) ), W ) ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, V0, W ),
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( W ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ) ), W ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'(
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 0.89/1.25 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 0.89/1.25 'tc_Com_Ostate', 'tc_Com_Ostate' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 0.89/1.25 ) ), Y ), 'c_COMBB'( 'tc_Com_Ostate', 'tc_bool', 'tc_Com_Ostate' ) ), Z
% 0.89/1.25 ), Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_Com_Ostate' ), 'tc_fun'(
% 0.89/1.25 'tc_Com_Ostate', 'tc_bool' ) ), hAPP( 'c_COMBS'( hAPP( 'c_COMBC'(
% 0.89/1.25 'c_Natural_Oupdate', 'tc_Com_Ostate', 'tc_Com_Ovname', 'tc_fun'( 'tc_nat'
% 0.89/1.25 , 'tc_Com_Ostate' ) ), T ), 'tc_Com_Ostate', 'tc_nat', 'tc_Com_Ostate' )
% 0.89/1.25 , U ) ), 'c_Com_Ocom_OAss'( T, U ), Z, Y ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.25 Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Z ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( Z ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), Z ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( T,
% 0.89/1.25 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Y ), Z ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), X ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.89/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.89/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( Y, X ), Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.89/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.89/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.89/1.25 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.89/1.25 , T ), =( Z, U ) ],
% 0.89/1.25 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.89/1.25 , U ), =( Z, U ) ],
% 0.89/1.25 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.89/1.25 , T ), =( X, T ) ],
% 0.89/1.25 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.89/1.25 , U ), =( X, T ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25 ) ), Y ) ) ) ],
% 0.89/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.89/1.25 [ ~( =( 'c_Com_Ovname_OLoc'( X ), 'c_Com_Ovname_OLoc'( Y ) ) ), =( X, Y
% 0.89/1.25 ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_Set_Oinsert'( Z, T ), X ), Y ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), Z ) )
% 0.89/1.25 , hAPP( 'c_Set_Oinsert'( X, Y ), Z ) ) ],
% 0.89/1.25 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) )
% 0.89/1.25 , hAPP( 'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), T ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 0.89/1.25 hAPP( U, W ) ) ) ],
% 0.89/1.25 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.89/1.25 U ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.89/1.25 'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.25 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), =( X, Z
% 0.89/1.26 ) ],
% 0.89/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.89/1.26 'tc_Hoare__Mirabelle_Otriple'( Z ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.26 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), Z ), ~(
% 0.89/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oinsert'( Y,
% 0.89/1.26 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Z ) ) ],
% 0.89/1.26 [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.26 Z, T ) ) ) ],
% 0.89/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( 'c_Set_Oinsert'( X,
% 0.89/1.26 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.26 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), hAPP(
% 0.89/1.26 'c_Set_Oinsert'( X, 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.89/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.26 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.89/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( 'c_Set_Oinsert'(
% 0.89/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', 'v_Q', 't_a' ),
% 0.89/1.26 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.26 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.26 ) ],
% 0.89/1.26 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( 'c_Set_Oinsert'(
% 0.89/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', hAPP( 'c_COMBC'( hAPP(
% 0.89/1.26 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 0.89/1.26 'tc_fun'( 'tc_Com_Ostate', 'tc_Com_Ostate' ), 'tc_fun'( 'tc_Com_Ostate',
% 0.89/1.26 'tc_bool' ) ), 't_a' ), 'c_COMBB'( 'tc_Com_Ostate', 'tc_bool',
% 0.89/1.26 'tc_Com_Ostate' ) ), 'v_Q' ), 't_a', 'tc_fun'( 'tc_Com_Ostate',
% 0.89/1.26 'tc_Com_Ostate' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), hAPP(
% 0.89/1.26 'c_COMBC'( hAPP( 'c_COMBC'( 'c_Natural_Oupdate', 'tc_Com_Ostate',
% 0.89/1.26 'tc_Com_Ovname', 'tc_fun'( 'tc_nat', 'tc_Com_Ostate' ) ),
% 0.89/1.26 'c_Com_Ovname_OLoc'( 'v_Y' ) ), 'tc_Com_Ostate', 'tc_nat',
% 0.89/1.26 'tc_Com_Ostate' ), 'c_Natural_Ogetlocs'( 'v_s_H', 'v_Y' ) ) ), 't_a' ),
% 0.89/1.26 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.26 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 0.89/1.26 ) ) ],
% 0.89/1.26 [ hBOOL( hAPP( hAPP( 'v_Q', X ), hAPP( hAPP( hAPP( 'c_Natural_Oupdate',
% 0.89/1.26 Y ), 'c_Com_Ovname_OLoc'( 'v_Y' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'v_Q'
% 0.89/1.26 , X ), Y ) ) ) ],
% 0.89/1.26 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.26 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.26 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.26 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.26 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.26 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.26 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.26 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.26 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.26 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.26 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.26 Y ) ) ],
% 0.89/1.26 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.89/1.26 ,
% 0.89/1.26 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.26 ,
% 0.89/1.26 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.89/1.26 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.26 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.26 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.89/1.26 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.26 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.89/1.26 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.89/1.26 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.89/1.26 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.26 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.26 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.26 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.26 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.26 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.26 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.26 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.89/1.26 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.26 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.89/1.26 U ) ) ],
% 0.89/1.26 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 0.89/1.26 hAPP( U, W ) ) ) ],
% 0.89/1.26 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.89/1.26 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.89/1.26 ] .
% 0.89/1.26
% 0.89/1.26
% 0.89/1.26 percentage equality = 0.361834, percentage horn = 0.889151
% 0.89/1.26 This is a problem with some equality
% 0.89/1.26
% 0.89/1.26
% 0.89/1.26
% 0.89/1.26 Options Used:
% 0.89/1.26
% 0.89/1.26 useres = 1
% 0.89/1.26 useparamod = 1
% 0.89/1.26 useeqrefl = 1
% 0.89/1.26 useeqfact = 1
% 0.89/1.26 usefactor = 1
% 0.89/1.26 usesimpsplitting = 0
% 0.89/1.26 usesimpdemod = 5
% 0.89/1.26 usesimpres = 3
% 0.89/1.26
% 0.89/1.26 resimpinuse = 1000
% 0.89/1.26 resimpclauses = 20000
% 0.89/1.26 substype = eqrewr
% 0.89/1.26 backwardsubs = 1
% 0.89/1.26 selectoldest = 5
% 0.89/1.26
% 0.89/1.26 litorderings [0] = split
% 0.89/1.26 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.26
% 0.89/1.26 termordering = kbo
% 0.89/1.26
% 0.89/1.26 litapriori = 0
% 0.89/1.26 termapriori = 1
% 0.89/1.26 litaposteriori = 0
% 0.89/1.26 termaposteriori = 0
% 0.89/1.26 demodaposteriori = 0
% 0.89/1.26 ordereqreflfact = 0
% 0.89/1.26
% 0.89/1.26 litselect = negord
% 0.89/1.26
% 0.89/1.26 maxweight = 15
% 0.89/1.26 maxdepth = 30000
% 0.89/1.26 maxlength = 115
% 0.89/1.26 maxnrvars = 195
% 0.89/1.26 excuselevel = 1
% 0.89/1.26 increasemaxweight = 1
% 0.89/1.26
% 0.89/1.26 maxselected = 10000000
% 0.89/1.26 maxnrclauses = 10000000
% 0.89/1.26
% 0.89/1.26 showgenerated = 0
% 0.89/1.26 showkept = 0
% 0.89/1.26 showselected = 0
% 0.89/1.26 showdeleted = 0
% 0.89/1.26 showresimp = 1
% 0.89/1.26 showstatus = 2000
% 0.89/1.26
% 0.89/1.26 prologoutput = 1
% 0.89/1.26 nrgoals = 5000000
% 0.89/1.26 totalproof = 1
% 0.89/1.26
% 0.89/1.26 Symbols occurring in the translation:
% 0.89/1.26
% 0.89/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.26 . [1, 2] (w:1, o:151, a:1, s:1, b:0),
% 0.89/1.26 ! [4, 1] (w:0, o:125, a:1, s:1, b:0),
% 0.89/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.26 'c_Hoare__Mirabelle_Ohoare__valids' [42, 3] (w:1, o:200, a:1, s:1, b:
% 0.89/1.26 0),
% 0.89/1.26 'c_Hoare__Mirabelle_Ohoare__derivs' [43, 3] (w:1, o:201, a:1, s:1, b:
% 0.89/1.26 0),
% 0.89/1.26 'c_List_Omap' [47, 4] (w:1, o:214, a:1, s:1, b:0),
% 0.89/1.26 hAPP [50, 2] (w:1, o:176, a:1, s:1, b:0),
% 0.89/1.26 'c_List_Oset' [51, 2] (w:1, o:177, a:1, s:1, b:0),
% 0.89/1.26 'c_in' [52, 3] (w:1, o:202, a:1, s:1, b:0),
% 0.89/1.26 hBOOL [53, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.89/1.26 'c_List_Ofoldl' [57, 5] (w:1, o:233, a:1, s:1, b:0),
% 0.89/1.26 'c_Complete__Lattice_Ocomplete__lattice' [63, 9] (w:1, o:240, a:1, s:
% 0.89/1.26 1, b:0),
% 0.89/1.26 'class_Complete__Lattice_Ocomplete__lattice' [64, 1] (w:1, o:131, a:1
% 0.89/1.26 , s:1, b:0),
% 0.89/1.26 'c_Complete__Lattice_OSup__class_OSup' [65, 2] (w:1, o:179, a:1, s:1
% 0.89/1.26 , b:0),
% 0.89/1.26 'c_Lattices_Oupper__semilattice__class_Osup' [66, 1] (w:1, o:132, a:1
% 0.89/1.26 , s:1, b:0),
% 0.89/1.26 'c_Orderings_Obot__class_Obot' [67, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.89/1.26 'class_Lattices_Olattice' [68, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.89/1.26 'tc_bool' [71, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.89/1.26 'tc_fun' [72, 2] (w:1, o:180, a:1, s:1, b:0),
% 0.89/1.26 'c_lessequals' [76, 3] (w:1, o:203, a:1, s:1, b:0),
% 0.89/1.26 'class_Lattices_Oupper__semilattice' [77, 1] (w:1, o:135, a:1, s:1
% 0.89/1.26 , b:0),
% 0.89/1.26 'c_COMBC' [80, 4] (w:1, o:215, a:1, s:1, b:0),
% 0.89/1.26 'c_HOL_Ominus__class_Ominus' [81, 3] (w:1, o:204, a:1, s:1, b:0),
% 0.89/1.26 'c_Com_Ocom_OSKIP' [82, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.89/1.26 'c_Com_Ocom_OCond' [86, 3] (w:1, o:205, a:1, s:1, b:0),
% 0.89/1.26 'c_COMBB' [87, 3] (w:1, o:206, a:1, s:1, b:0),
% 0.89/1.26 'c_and' [88, 0] (w:1, o:64, a:1, s:1, b:0),
% 0.89/1.26 'c_fequal' [89, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.89/1.26 'c_COMBS' [90, 4] (w:1, o:216, a:1, s:1, b:0),
% 0.89/1.26 'c_Collect' [92, 2] (w:1, o:178, a:1, s:1, b:0),
% 0.89/1.26 'c_List_Olist__all2' [96, 5] (w:1, o:234, a:1, s:1, b:0),
% 0.89/1.26 't_a' [99, 0] (w:1, o:69, a:1, s:1, b:0),
% 0.89/1.26 'c_Hoare__Mirabelle_Otriple_Otriple' [100, 4] (w:1, o:217, a:1, s:1
% 0.89/1.26 , b:0),
% 0.89/1.26 'tc_Hoare__Mirabelle_Otriple' [101, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.89/1.26 'c_Set_Oinsert' [102, 2] (w:1, o:181, a:1, s:1, b:0),
% 0.89/1.26 'tc_Com_Ostate' [103, 0] (w:1, o:70, a:1, s:1, b:0),
% 0.89/1.26 'v_sko__Hoare__Mirabelle__Xescape__2' [104, 4] (w:1, o:219, a:1, s:1
% 0.89/1.26 , b:0),
% 0.89/1.26 'c_COMBK' [105, 3] (w:1, o:207, a:1, s:1, b:0),
% 0.89/1.26 'v_sko__Hoare__Mirabelle__Xescape__1' [106, 4] (w:1, o:218, a:1, s:1
% 0.89/1.26 , b:0),
% 0.89/1.26 'v_sko__Hoare__Mirabelle__Xexport__s__1' [107, 4] (w:1, o:220, a:1
% 0.89/1.26 , s:1, b:0),
% 0.89/1.26 'c_Com_Ocom_OWhile' [108, 2] (w:1, o:182, a:1, s:1, b:0),
% 0.89/1.26 'c_Not' [109, 0] (w:1, o:71, a:1, s:1, b:0),
% 2.23/2.67 'c_Fun_Ocomp' [110, 5] (w:1, o:235, a:1, s:1, b:0),
% 2.23/2.67 'c_Hoare__Mirabelle_Opeek__and' [111, 3] (w:1, o:208, a:1, s:1, b:0)
% 2.23/2.67 ,
% 2.23/2.67 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [112, 4] (w:1
% 2.23/2.67 , o:221, a:1, s:1, b:0),
% 2.23/2.67 'c_Com_Ocom_OSemi' [115, 2] (w:1, o:183, a:1, s:1, b:0),
% 2.23/2.67 'c_Natural_Oevalc' [118, 3] (w:1, o:209, a:1, s:1, b:0),
% 2.23/2.67 'c_Natural_Oevaln' [125, 4] (w:1, o:222, a:1, s:1, b:0),
% 2.23/2.67 'class_OrderedGroup_Oab__group__add' [126, 1] (w:1, o:138, a:1, s:1
% 2.23/2.67 , b:0),
% 2.23/2.67 'c_Com_Ocom_OBODY' [133, 1] (w:1, o:140, a:1, s:1, b:0),
% 2.23/2.67 'c_COMBI' [135, 2] (w:1, o:184, a:1, s:1, b:0),
% 2.23/2.67 'c_Com_Ovname_OGlb' [140, 1] (w:1, o:141, a:1, s:1, b:0),
% 2.23/2.67 'c_Com_Ovname_Ovname__rec' [141, 4] (w:1, o:223, a:1, s:1, b:0),
% 2.23/2.67 'c_Lattices_Oboolean__algebra' [144, 9] (w:1, o:241, a:1, s:1, b:0),
% 2.23/2.67
% 2.23/2.67 'c_Com_Ovname_Ovname__case' [145, 4] (w:1, o:224, a:1, s:1, b:0),
% 2.23/2.67 'v_x' [146, 0] (w:1, o:85, a:1, s:1, b:0),
% 2.23/2.67 'c_Finite__Set_Ofold1' [147, 3] (w:1, o:210, a:1, s:1, b:0),
% 2.23/2.67 'c_Finite__Set_Ofold1Set' [148, 3] (w:1, o:211, a:1, s:1, b:0),
% 2.23/2.67 'c_The' [149, 2] (w:1, o:186, a:1, s:1, b:0),
% 2.23/2.67 'c_Com_Ocom_OLocal' [155, 3] (w:1, o:212, a:1, s:1, b:0),
% 2.23/2.67 'c_Com_Ocom_OAss' [157, 2] (w:1, o:187, a:1, s:1, b:0),
% 2.23/2.67 'c_Natural_Oupdate' [160, 0] (w:1, o:92, a:1, s:1, b:0),
% 2.23/2.67 'class_Orderings_Oorder' [165, 1] (w:1, o:142, a:1, s:1, b:0),
% 2.23/2.67 'c_SetInterval_Oord__class_OatLeastAtMost' [166, 3] (w:1, o:213, a:1
% 2.23/2.67 , s:1, b:0),
% 2.23/2.67 'c_or' [171, 0] (w:1, o:99, a:1, s:1, b:0),
% 2.23/2.67 'class_HOL_Ominus' [172, 1] (w:1, o:143, a:1, s:1, b:0),
% 2.23/2.67 'class_HOL_Oord' [174, 1] (w:1, o:144, a:1, s:1, b:0),
% 2.23/2.67 'c_Com_Ovname_OLoc' [176, 1] (w:1, o:145, a:1, s:1, b:0),
% 2.23/2.67 'c_Natural_Osko__Natural__Xevaln__elim__cases__3__1' [177, 6] (w:1
% 2.23/2.67 , o:237, a:1, s:1, b:0),
% 2.23/2.67 'c_Natural_Osko__Natural__Xevalc__elim__cases__3__1' [178, 5] (w:1
% 2.23/2.67 , o:236, a:1, s:1, b:0),
% 2.23/2.67 'class_Lattices_Obounded__lattice' [179, 1] (w:1, o:146, a:1, s:1, b:
% 2.23/2.67 0),
% 2.23/2.67 'class_Orderings_Obot' [180, 1] (w:1, o:147, a:1, s:1, b:0),
% 2.23/2.67 'c_False' [181, 0] (w:1, o:102, a:1, s:1, b:0),
% 2.23/2.67 'c_Complete__Lattice_OInf__class_OInf' [183, 2] (w:1, o:188, a:1, s:1
% 2.23/2.67 , b:0),
% 2.23/2.67 'c_Com_Obody' [187, 1] (w:1, o:139, a:1, s:1, b:0),
% 2.23/2.67 'tc_Com_Ocom' [188, 0] (w:1, o:105, a:1, s:1, b:0),
% 2.23/2.67 'c_Option_Othe' [189, 2] (w:1, o:191, a:1, s:1, b:0),
% 2.23/2.67 'class_Orderings_Opreorder' [191, 1] (w:1, o:148, a:1, s:1, b:0),
% 2.23/2.67 'class_OrderedGroup_Opordered__ab__group__add' [195, 1] (w:1, o:149
% 2.23/2.67 , a:1, s:1, b:0),
% 2.23/2.67 'class_Orderings_Olinorder' [196, 1] (w:1, o:150, a:1, s:1, b:0),
% 2.23/2.67 'v_P' [197, 0] (w:1, o:108, a:1, s:1, b:0),
% 2.23/2.67 't_b' [198, 0] (w:1, o:109, a:1, s:1, b:0),
% 2.23/2.67 't_c' [199, 0] (w:1, o:110, a:1, s:1, b:0),
% 2.23/2.67 'v_Q' [200, 0] (w:1, o:111, a:1, s:1, b:0),
% 2.23/2.67 'v_R' [201, 0] (w:1, o:112, a:1, s:1, b:0),
% 2.23/2.67 'c_Natural_Ogetlocs' [202, 2] (w:1, o:189, a:1, s:1, b:0),
% 2.23/2.67 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [203, 4] (w:1, o:225
% 2.23/2.67 , a:1, s:1, b:0),
% 2.23/2.67 'c_True' [204, 0] (w:1, o:113, a:1, s:1, b:0),
% 2.23/2.67 'v_sko__Hoare__Mirabelle__Xhoare__SkipI__1' [205, 2] (w:1, o:192, a:1
% 2.23/2.67 , s:1, b:0),
% 2.23/2.67 'v_sko__Hoare__Mirabelle__Xhoare__SkipI__2' [206, 2] (w:1, o:193, a:1
% 2.23/2.67 , s:1, b:0),
% 2.23/2.67 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [207, 2] (w:1, o:190, a:1
% 2.23/2.67 , s:1, b:0),
% 2.23/2.67 'c_Finite__Set_Olinorder__class_OMin' [208, 2] (w:1, o:194, a:1, s:1
% 2.23/2.67 , b:0),
% 2.23/2.67 'c_Set_Ocontents' [209, 2] (w:1, o:185, a:1, s:1, b:0),
% 2.23/2.67 'c_Finite__Set_Olinorder__class_OMax' [210, 2] (w:1, o:195, a:1, s:1
% 2.23/2.67 , b:0),
% 2.23/2.67 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [212, 6] (w:1
% 2.23/2.67 , o:238, a:1, s:1, b:0),
% 2.23/2.67 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [213, 4] (w:1
% 2.23/2.67 , o:227, a:1, s:1, b:0),
% 2.23/2.67 'v_sko__Hoare__Mirabelle__Xconseq12__3' [216, 4] (w:1, o:230, a:1, s:
% 2.23/2.67 1, b:0),
% 2.23/2.67 'v_sko__Hoare__Mirabelle__Xconseq12__2' [217, 4] (w:1, o:229, a:1, s:
% 2.23/2.67 1, b:0),
% 2.23/2.67 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [218, 6] (w:
% 7.50/7.89 1, o:239, a:1, s:1, b:0),
% 7.50/7.89 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [219, 4] (w:
% 7.50/7.89 1, o:232, a:1, s:1, b:0),
% 7.50/7.89 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [220, 4] (w:
% 7.50/7.89 1, o:231, a:1, s:1, b:0),
% 7.50/7.89 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [221, 4] (w:1
% 7.50/7.89 , o:226, a:1, s:1, b:0),
% 7.50/7.89 'v_sko__Hoare__Mirabelle__Xconseq2__1' [222, 2] (w:1, o:198, a:1, s:1
% 7.50/7.89 , b:0),
% 7.50/7.89 'v_sko__Hoare__Mirabelle__Xconseq2__2' [223, 2] (w:1, o:199, a:1, s:1
% 7.50/7.89 , b:0),
% 7.50/7.89 'v_sko__Hoare__Mirabelle__Xconseq12__1' [224, 4] (w:1, o:228, a:1, s:
% 7.50/7.89 1, b:0),
% 7.50/7.89 'v_sko__Hoare__Mirabelle__Xconseq1__1' [225, 2] (w:1, o:196, a:1, s:1
% 7.50/7.89 , b:0),
% 7.50/7.89 'v_sko__Hoare__Mirabelle__Xconseq1__2' [226, 2] (w:1, o:197, a:1, s:1
% 7.50/7.89 , b:0),
% 7.50/7.89 'tc_Com_Ovname' [228, 0] (w:1, o:115, a:1, s:1, b:0),
% 7.50/7.89 'tc_nat' [229, 0] (w:1, o:116, a:1, s:1, b:0),
% 7.50/7.89 'v_G' [235, 0] (w:1, o:118, a:1, s:1, b:0),
% 7.50/7.89 'v_c' [236, 0] (w:1, o:119, a:1, s:1, b:0),
% 7.50/7.89 'v_Y' [237, 0] (w:1, o:120, a:1, s:1, b:0),
% 7.50/7.89 'v_s_H' [238, 0] (w:1, o:121, a:1, s:1, b:0).
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Starting Search:
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 3210
% 7.50/7.89 Kept: 2092
% 7.50/7.89 Inuse: 164
% 7.50/7.89 Deleted: 7
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 6931
% 7.50/7.89 Kept: 4092
% 7.50/7.89 Inuse: 216
% 7.50/7.89 Deleted: 7
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 12157
% 7.50/7.89 Kept: 6109
% 7.50/7.89 Inuse: 302
% 7.50/7.89 Deleted: 10
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 18954
% 7.50/7.89 Kept: 8321
% 7.50/7.89 Inuse: 321
% 7.50/7.89 Deleted: 10
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 24733
% 7.50/7.89 Kept: 10432
% 7.50/7.89 Inuse: 358
% 7.50/7.89 Deleted: 11
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 34558
% 7.50/7.89 Kept: 12678
% 7.50/7.89 Inuse: 375
% 7.50/7.89 Deleted: 11
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 40987
% 7.50/7.89 Kept: 14690
% 7.50/7.89 Inuse: 398
% 7.50/7.89 Deleted: 11
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 48427
% 7.50/7.89 Kept: 17180
% 7.50/7.89 Inuse: 420
% 7.50/7.89 Deleted: 12
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 54623
% 7.50/7.89 Kept: 19203
% 7.50/7.89 Inuse: 453
% 7.50/7.89 Deleted: 12
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying clauses:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 62084
% 7.50/7.89 Kept: 21205
% 7.50/7.89 Inuse: 477
% 7.50/7.89 Deleted: 48
% 7.50/7.89 Deletedinuse: 0
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 69859
% 7.50/7.89 Kept: 23655
% 7.50/7.89 Inuse: 509
% 7.50/7.89 Deleted: 49
% 7.50/7.89 Deletedinuse: 1
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 76404
% 7.50/7.89 Kept: 25670
% 7.50/7.89 Inuse: 542
% 7.50/7.89 Deleted: 49
% 7.50/7.89 Deletedinuse: 1
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 88383
% 7.50/7.89 Kept: 29249
% 7.50/7.89 Inuse: 549
% 7.50/7.89 Deleted: 49
% 7.50/7.89 Deletedinuse: 1
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 95385
% 7.50/7.89 Kept: 31251
% 7.50/7.89 Inuse: 580
% 7.50/7.89 Deleted: 49
% 7.50/7.89 Deletedinuse: 1
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 103383
% 7.50/7.89 Kept: 33811
% 7.50/7.89 Inuse: 609
% 7.50/7.89 Deleted: 49
% 7.50/7.89 Deletedinuse: 1
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 113263
% 7.50/7.89 Kept: 36433
% 7.50/7.89 Inuse: 624
% 7.50/7.89 Deleted: 54
% 7.50/7.89 Deletedinuse: 6
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 121538
% 7.50/7.89 Kept: 38482
% 7.50/7.89 Inuse: 649
% 7.50/7.89 Deleted: 54
% 7.50/7.89 Deletedinuse: 6
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying inuse:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89 Resimplifying clauses:
% 7.50/7.89 Done
% 7.50/7.89
% 7.50/7.89
% 7.50/7.89 Intermediate Status:
% 7.50/7.89 Generated: 133142
% 7.50/7.89 Kept: 40482
% 7.50/7.89 Inuse: 673
% 26.82/27.24 Deleted: 527
% 26.82/27.24 Deletedinuse: 7
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 141481
% 26.82/27.24 Kept: 42527
% 26.82/27.24 Inuse: 686
% 26.82/27.24 Deleted: 527
% 26.82/27.24 Deletedinuse: 7
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 146328
% 26.82/27.24 Kept: 44601
% 26.82/27.24 Inuse: 703
% 26.82/27.24 Deleted: 527
% 26.82/27.24 Deletedinuse: 7
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 155740
% 26.82/27.24 Kept: 47376
% 26.82/27.24 Inuse: 710
% 26.82/27.24 Deleted: 527
% 26.82/27.24 Deletedinuse: 7
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 169019
% 26.82/27.24 Kept: 49488
% 26.82/27.24 Inuse: 737
% 26.82/27.24 Deleted: 528
% 26.82/27.24 Deletedinuse: 7
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 184875
% 26.82/27.24 Kept: 51835
% 26.82/27.24 Inuse: 752
% 26.82/27.24 Deleted: 528
% 26.82/27.24 Deletedinuse: 7
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 197954
% 26.82/27.24 Kept: 53841
% 26.82/27.24 Inuse: 783
% 26.82/27.24 Deleted: 528
% 26.82/27.24 Deletedinuse: 7
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 207503
% 26.82/27.24 Kept: 56081
% 26.82/27.24 Inuse: 806
% 26.82/27.24 Deleted: 529
% 26.82/27.24 Deletedinuse: 7
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 215197
% 26.82/27.24 Kept: 58151
% 26.82/27.24 Inuse: 831
% 26.82/27.24 Deleted: 530
% 26.82/27.24 Deletedinuse: 8
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 228732
% 26.82/27.24 Kept: 61614
% 26.82/27.24 Inuse: 846
% 26.82/27.24 Deleted: 531
% 26.82/27.24 Deletedinuse: 9
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying clauses:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 233461
% 26.82/27.24 Kept: 63747
% 26.82/27.24 Inuse: 849
% 26.82/27.24 Deleted: 1911
% 26.82/27.24 Deletedinuse: 9
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 242285
% 26.82/27.24 Kept: 66239
% 26.82/27.24 Inuse: 851
% 26.82/27.24 Deleted: 1933
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 252813
% 26.82/27.24 Kept: 68242
% 26.82/27.24 Inuse: 867
% 26.82/27.24 Deleted: 1933
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 264050
% 26.82/27.24 Kept: 70927
% 26.82/27.24 Inuse: 873
% 26.82/27.24 Deleted: 1933
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 274973
% 26.82/27.24 Kept: 72983
% 26.82/27.24 Inuse: 885
% 26.82/27.24 Deleted: 1933
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 285703
% 26.82/27.24 Kept: 75615
% 26.82/27.24 Inuse: 896
% 26.82/27.24 Deleted: 1933
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 295757
% 26.82/27.24 Kept: 77673
% 26.82/27.24 Inuse: 926
% 26.82/27.24 Deleted: 1933
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 304367
% 26.82/27.24 Kept: 79722
% 26.82/27.24 Inuse: 941
% 26.82/27.24 Deleted: 1933
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 313613
% 26.82/27.24 Kept: 81981
% 26.82/27.24 Inuse: 950
% 26.82/27.24 Deleted: 1934
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying clauses:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 324005
% 26.82/27.24 Kept: 84007
% 26.82/27.24 Inuse: 964
% 26.82/27.24 Deleted: 3989
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 333632
% 26.82/27.24 Kept: 86581
% 26.82/27.24 Inuse: 970
% 26.82/27.24 Deleted: 3989
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 341549
% 26.82/27.24 Kept: 88687
% 26.82/27.24 Inuse: 980
% 26.82/27.24 Deleted: 3989
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 347980
% 26.82/27.24 Kept: 91004
% 26.82/27.24 Inuse: 990
% 26.82/27.24 Deleted: 3989
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 358338
% 26.82/27.24 Kept: 93018
% 26.82/27.24 Inuse: 1019
% 26.82/27.24 Deleted: 3989
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 373358
% 26.82/27.24 Kept: 96467
% 26.82/27.24 Inuse: 1035
% 26.82/27.24 Deleted: 3989
% 26.82/27.24 Deletedinuse: 31
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24 Resimplifying inuse:
% 26.82/27.24 Done
% 26.82/27.24
% 26.82/27.24
% 26.82/27.24 Intermediate Status:
% 26.82/27.24 Generated: 384271
% 73.23/73.66 Kept: 98713
% 73.23/73.66 Inuse: 1060
% 73.23/73.66 Deleted: 3989
% 73.23/73.66 Deletedinuse: 31
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 396363
% 73.23/73.66 Kept: 100776
% 73.23/73.66 Inuse: 1089
% 73.23/73.66 Deleted: 3989
% 73.23/73.66 Deletedinuse: 31
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying clauses:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 410996
% 73.23/73.66 Kept: 104246
% 73.23/73.66 Inuse: 1097
% 73.23/73.66 Deleted: 4084
% 73.23/73.66 Deletedinuse: 31
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 417449
% 73.23/73.66 Kept: 106466
% 73.23/73.66 Inuse: 1110
% 73.23/73.66 Deleted: 4202
% 73.23/73.66 Deletedinuse: 149
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 424783
% 73.23/73.66 Kept: 108982
% 73.23/73.66 Inuse: 1125
% 73.23/73.66 Deleted: 4212
% 73.23/73.66 Deletedinuse: 159
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 444002
% 73.23/73.66 Kept: 111074
% 73.23/73.66 Inuse: 1165
% 73.23/73.66 Deleted: 4215
% 73.23/73.66 Deletedinuse: 162
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 449803
% 73.23/73.66 Kept: 113435
% 73.23/73.66 Inuse: 1170
% 73.23/73.66 Deleted: 4215
% 73.23/73.66 Deletedinuse: 162
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 460106
% 73.23/73.66 Kept: 115481
% 73.23/73.66 Inuse: 1178
% 73.23/73.66 Deleted: 4217
% 73.23/73.66 Deletedinuse: 164
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 478627
% 73.23/73.66 Kept: 117921
% 73.23/73.66 Inuse: 1207
% 73.23/73.66 Deleted: 4225
% 73.23/73.66 Deletedinuse: 164
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 499177
% 73.23/73.66 Kept: 120514
% 73.23/73.66 Inuse: 1216
% 73.23/73.66 Deleted: 4226
% 73.23/73.66 Deletedinuse: 164
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 509162
% 73.23/73.66 Kept: 122853
% 73.23/73.66 Inuse: 1221
% 73.23/73.66 Deleted: 4226
% 73.23/73.66 Deletedinuse: 164
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying clauses:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 519628
% 73.23/73.66 Kept: 124902
% 73.23/73.66 Inuse: 1242
% 73.23/73.66 Deleted: 11764
% 73.23/73.66 Deletedinuse: 164
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 540407
% 73.23/73.66 Kept: 127211
% 73.23/73.66 Inuse: 1266
% 73.23/73.66 Deleted: 11764
% 73.23/73.66 Deletedinuse: 164
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 551502
% 73.23/73.66 Kept: 131584
% 73.23/73.66 Inuse: 1271
% 73.23/73.66 Deleted: 11764
% 73.23/73.66 Deletedinuse: 164
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 569036
% 73.23/73.66 Kept: 133589
% 73.23/73.66 Inuse: 1313
% 73.23/73.66 Deleted: 11765
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 617731
% 73.23/73.66 Kept: 135609
% 73.23/73.66 Inuse: 1410
% 73.23/73.66 Deleted: 11765
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 658634
% 73.23/73.66 Kept: 137630
% 73.23/73.66 Inuse: 1470
% 73.23/73.66 Deleted: 11765
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 701726
% 73.23/73.66 Kept: 139649
% 73.23/73.66 Inuse: 1544
% 73.23/73.66 Deleted: 11765
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 741904
% 73.23/73.66 Kept: 141682
% 73.23/73.66 Inuse: 1619
% 73.23/73.66 Deleted: 11765
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying clauses:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 778363
% 73.23/73.66 Kept: 143689
% 73.23/73.66 Inuse: 1697
% 73.23/73.66 Deleted: 11846
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 804396
% 73.23/73.66 Kept: 145725
% 73.23/73.66 Inuse: 1753
% 73.23/73.66 Deleted: 11846
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 844299
% 73.23/73.66 Kept: 148641
% 73.23/73.66 Inuse: 1811
% 73.23/73.66 Deleted: 11846
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 861799
% 73.23/73.66 Kept: 150656
% 73.23/73.66 Inuse: 1823
% 73.23/73.66 Deleted: 11846
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66 Resimplifying inuse:
% 73.23/73.66 Done
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 889267
% 73.23/73.66 Kept: 152658
% 73.23/73.66 Inuse: 1892
% 73.23/73.66 Deleted: 11846
% 73.23/73.66 Deletedinuse: 165
% 73.23/73.66
% 73.23/73.66
% 73.23/73.66 Intermediate Status:
% 73.23/73.66 Generated: 913252
% 146.03/146.51 Kept: 161047
% 146.03/146.51 Inuse: 1909
% 146.03/146.51 Deleted: 11846
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying clauses:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 929383
% 146.03/146.51 Kept: 163087
% 146.03/146.51 Inuse: 1944
% 146.03/146.51 Deleted: 11848
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 949769
% 146.03/146.51 Kept: 165111
% 146.03/146.51 Inuse: 1988
% 146.03/146.51 Deleted: 11848
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 972608
% 146.03/146.51 Kept: 167111
% 146.03/146.51 Inuse: 2040
% 146.03/146.51 Deleted: 11848
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 993000
% 146.03/146.51 Kept: 169134
% 146.03/146.51 Inuse: 2083
% 146.03/146.51 Deleted: 11848
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1033032
% 146.03/146.51 Kept: 179912
% 146.03/146.51 Inuse: 2132
% 146.03/146.51 Deleted: 11848
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1050990
% 146.03/146.51 Kept: 181917
% 146.03/146.51 Inuse: 2168
% 146.03/146.51 Deleted: 11848
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying clauses:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1083832
% 146.03/146.51 Kept: 192603
% 146.03/146.51 Inuse: 2199
% 146.03/146.51 Deleted: 11934
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1099897
% 146.03/146.51 Kept: 194612
% 146.03/146.51 Inuse: 2230
% 146.03/146.51 Deleted: 11934
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1136528
% 146.03/146.51 Kept: 206225
% 146.03/146.51 Inuse: 2267
% 146.03/146.51 Deleted: 11934
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying clauses:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1154136
% 146.03/146.51 Kept: 208237
% 146.03/146.51 Inuse: 2300
% 146.03/146.51 Deleted: 12064
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1173253
% 146.03/146.51 Kept: 210303
% 146.03/146.51 Inuse: 2355
% 146.03/146.51 Deleted: 12064
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1187718
% 146.03/146.51 Kept: 212303
% 146.03/146.51 Inuse: 2380
% 146.03/146.51 Deleted: 12064
% 146.03/146.51 Deletedinuse: 165
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1210201
% 146.03/146.51 Kept: 218040
% 146.03/146.51 Inuse: 2402
% 146.03/146.51 Deleted: 12072
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1226588
% 146.03/146.51 Kept: 220064
% 146.03/146.51 Inuse: 2424
% 146.03/146.51 Deleted: 12072
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1243039
% 146.03/146.51 Kept: 222068
% 146.03/146.51 Inuse: 2453
% 146.03/146.51 Deleted: 12072
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1260497
% 146.03/146.51 Kept: 224112
% 146.03/146.51 Inuse: 2483
% 146.03/146.51 Deleted: 12072
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1274995
% 146.03/146.51 Kept: 226139
% 146.03/146.51 Inuse: 2510
% 146.03/146.51 Deleted: 12072
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying clauses:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1298777
% 146.03/146.51 Kept: 228185
% 146.03/146.51 Inuse: 2550
% 146.03/146.51 Deleted: 12799
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1324344
% 146.03/146.51 Kept: 230251
% 146.03/146.51 Inuse: 2587
% 146.03/146.51 Deleted: 12799
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1343986
% 146.03/146.51 Kept: 232359
% 146.03/146.51 Inuse: 2617
% 146.03/146.51 Deleted: 12799
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1362592
% 146.03/146.51 Kept: 234361
% 146.03/146.51 Inuse: 2647
% 146.03/146.51 Deleted: 12799
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51
% 146.03/146.51 Intermediate Status:
% 146.03/146.51 Generated: 1385628
% 146.03/146.51 Kept: 236384
% 146.03/146.51 Inuse: 2690
% 146.03/146.51 Deleted: 12801
% 146.03/146.51 Deletedinuse: 173
% 146.03/146.51
% 146.03/146.51 Resimplifying inuse:
% 146.03/146.51 Done
% 146.03/146.51
% 146.03/146.51 ResimpliCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------