%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV892-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:04 EDT 2022
% Result : Timeout 300.08s 300.58s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWV892-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.11 % Command : bliksem %s
% 0.10/0.30 % Computer : n003.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % DateTime : Tue Jun 14 16:51:40 EDT 2022
% 0.10/0.30 % CPUTime :
% 1.07/1.45 *** allocated 10000 integers for termspace/termends
% 1.07/1.45 *** allocated 10000 integers for clauses
% 1.07/1.45 *** allocated 10000 integers for justifications
% 1.07/1.45 *** allocated 15000 integers for termspace/termends
% 1.07/1.45 Bliksem 1.12
% 1.07/1.45
% 1.07/1.45
% 1.07/1.45 Automatic Strategy Selection
% 1.07/1.45
% 1.07/1.45 Clauses:
% 1.07/1.45 [
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.07/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.07/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.07/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.07/1.45 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.07/1.45 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.07/1.45 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 1.07/1.45 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 1.07/1.45 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.07/1.45 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.07/1.45 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.07/1.45 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.07/1.45 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.07/1.45 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.07/1.45 ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.07/1.45 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.07/1.45 'c_lessequals'( Y, Z, X ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.07/1.45 'c_lessequals'( Z, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 1.07/1.45 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.07/1.45 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.07/1.45 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.07/1.45 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.07/1.45 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 1.07/1.45 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 1.07/1.45 , Z, 'tc_fun'( T, X ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.07/1.45 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 1.07/1.45 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 1.07/1.45 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), Y ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), Y ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), Y ) ) ) ],
% 1.07/1.45 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 1.07/1.45 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 1.07/1.45 ), =( Y, W ) ],
% 1.07/1.45 [ 'c_Map_Omap__le'( 'c_Fun_Ofun__upd'( X, Y, Z, T, 'tc_Option_Ooption'(
% 1.07/1.45 U ) ), 'c_Fun_Ofun__upd'( W, Y, Z, T, 'tc_Option_Ooption'( U ) ), T, U )
% 1.07/1.45 , ~( 'c_Map_Omap__le'( X, W, T, U ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.07/1.45 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.07/1.45 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( Y, U ),
% 1.07/1.45 =( hAPP( 'c_Fun_Ofun__upd'( X, U, 'c_Option_Ooption_OSome'( W, T ), V0,
% 1.07/1.45 'tc_Option_Ooption'( T ) ), Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( hAPP( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T )
% 1.07/1.45 , U, 'tc_Option_Ooption'( T ) ), W ), 'c_Option_Ooption_OSome'( V0, T ) )
% 1.07/1.45 ), =( hAPP( X, W ), 'c_Option_Ooption_OSome'( V0, T ) ), =( Z, V0 ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( hAPP( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T )
% 1.07/1.45 , U, 'tc_Option_Ooption'( T ) ), W ), 'c_Option_Ooption_OSome'( V0, T ) )
% 1.07/1.45 ), =( hAPP( X, W ), 'c_Option_Ooption_OSome'( V0, T ) ), =( W, Y ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 1.07/1.45 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 1.07/1.45 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.07/1.45 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 1.07/1.45 , X, U, Y, W ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( =( hAPP( 'c_Fun_Ofun__upd'( Z, T,
% 1.07/1.45 'c_Option_Ooption_OSome'( X, U ), W, 'tc_Option_Ooption'( U ) ), T ),
% 1.07/1.45 'c_Option_Ooption_OSome'( Y, U ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.07/1.45 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.07/1.45 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.07/1.45 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.07/1.45 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.07/1.45 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.07/1.45 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.07/1.45 Y, X ), Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.07/1.45 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 T, X ), Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.07/1.45 'c_lessequals'( Y, T, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.07/1.45 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.07/1.45 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.07/1.45 Y, X ), Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.07/1.45 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 T, X ), Z, X ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.07/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.07/1.45 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.07/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.07/1.45 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 1.07/1.45 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 1.07/1.45 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.07/1.45 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 1.07/1.45 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.07/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.07/1.45 , X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.07/1.45 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.07/1.45 , X ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.07/1.45 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T ), U
% 1.07/1.45 , 'tc_Option_Ooption'( T ) ), Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =(
% 1.07/1.45 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T ), U,
% 1.07/1.45 'tc_Option_Ooption'( T ) ), X ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.07/1.45 , Y ) ],
% 1.07/1.45 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.07/1.45 , Y ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.07/1.45 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 1.07/1.45 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 1.07/1.45 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.07/1.45 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.07/1.45 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.07/1.45 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 1.07/1.45 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.07/1.45 'tc_bool' ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 1.07/1.45 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.07/1.45 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.07/1.45 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 1.07/1.45 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.07/1.45 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.07/1.45 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.07/1.45 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.07/1.45 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.07/1.45 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_OSome'( Z, T ), U,
% 1.07/1.45 'tc_Option_Ooption'( T ) ), 'c_Fun_Ofun__upd'( W, Y,
% 1.07/1.45 'c_Option_Ooption_OSome'( V0, T ), U, 'tc_Option_Ooption'( T ) ) ) ), =(
% 1.07/1.45 Z, V0 ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.07/1.45 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 1.07/1.45 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.07/1.45 'c_lessequals'( Z, Y, X ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 1.07/1.45 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.07/1.45 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 1.07/1.45 ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 1.07/1.45 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 1.07/1.45 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 1.07/1.45 U, V0 ) ), hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.07/1.45 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( Z ), T ), X ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z )
% 1.07/1.45 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 1.07/1.45 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 1.07/1.45 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, W
% 1.07/1.45 , U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 1.07/1.45 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 1.07/1.45 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( hAPP( X, Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( T ), Y ), Z ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 1.07/1.45 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 1.07/1.45 , U ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.07/1.45 hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 1.07/1.45 ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 1.07/1.45 ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 1.07/1.45 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.07/1.45 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_Set_Oimage'( Z
% 1.07/1.45 , X, W, T ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBB'( U, X
% 1.07/1.45 , T, 'tc_fun'( W, 'tc_bool' ), Z ), Z, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.07/1.45 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.07/1.45 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.07/1.45 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 1.07/1.45 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 1.07/1.45 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.07/1.45 [ =( 'c_Map_Omap__add'( X, 'c_Fun_Ofun__upd'( Y, Z,
% 1.07/1.45 'c_Option_Ooption_OSome'( T, U ), W, 'tc_Option_Ooption'( U ) ), W, U ),
% 1.07/1.45 'c_Fun_Ofun__upd'( 'c_Map_Omap__add'( X, Y, W, U ), Z,
% 1.07/1.45 'c_Option_Ooption_OSome'( T, U ), W, 'tc_Option_Ooption'( U ) ) ) ],
% 1.07/1.45 [ =( 'c_Map_Odom'( 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Map_Odom'( Y, Z, T ),
% 1.07/1.45 'c_Map_Odom'( X, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_Map_Omap__le'( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_ONone'( Z
% 1.07/1.45 ), T, 'tc_Option_Ooption'( Z ) ), X, T, Z ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Map_Odom'( X, Y, Z ), 'c_Map_Odom'( T, Y, Z ),
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_Map_Omap__le'( X, T, Y, Z ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.07/1.45 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.07/1.45 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.07/1.45 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.07/1.45 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.07/1.45 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.07/1.45 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.07/1.45 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.07/1.45 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 1.07/1.45 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.07/1.45 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.07/1.45 'c_lessequals'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.07/1.45 'c_lessequals'( Y, Z, X ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.07/1.45 'c_lessequals'( Z, Y, X ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.07/1.45 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 1.07/1.45 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 1.07/1.45 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.07/1.45 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.07/1.45 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.07/1.45 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.07/1.45 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.07/1.45 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 1.07/1.45 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.07/1.45 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.07/1.45 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.07/1.45 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.07/1.45 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.07/1.45 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 Z, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.07/1.45 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 T, Z, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.07/1.45 'c_lessequals'( Y, T, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.07/1.45 'c_lessequals'( Z, T, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.07/1.45 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 Z, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.07/1.45 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 T, Z, X ), X ) ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.07/1.45 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.07/1.45 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 1.07/1.45 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 1.07/1.45 ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z, T ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z, T ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 1.07/1.45 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y,
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.07/1.45 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 1.07/1.45 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.07/1.45 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ =( 'c_Hoare__Mirabelle_OMGT'( X ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ), X,
% 1.07/1.45 'c_Natural_Oevalc'( X ), 'tc_Com_Ostate' ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), U ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), U ), Y ) ) ) ],
% 1.07/1.45 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.07/1.45 'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ),
% 1.07/1.45 Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.07/1.45 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 1.07/1.45 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Oimage'( X, W, T, U ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 1.07/1.45 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.07/1.45 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.07/1.45 [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.07/1.45 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ),
% 1.07/1.45 'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 1.07/1.45 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 1.07/1.45 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.07/1.45 , Z ) ) ],
% 1.07/1.45 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.07/1.45 X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 1.07/1.45 ), Y ), Z ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.07/1.45 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 1.07/1.45 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 1.07/1.45 , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.07/1.45 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.07/1.45 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 1.07/1.45 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_Map_Odom'( 'c_Fun_Ofun__upd'( X, Y, Z, T, 'tc_Option_Ooption'( U
% 1.07/1.45 ) ), T, U ), 'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, T, U ), T ) ), =( Z,
% 1.07/1.45 'c_Option_Ooption_ONone'( U ) ) ],
% 1.07/1.45 [ 'c_Map_Omap__le'( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_ONone'( Z
% 1.07/1.45 ), T, 'tc_Option_Ooption'( Z ) ), 'c_Fun_Ofun__upd'( U, Y,
% 1.07/1.45 'c_Option_Ooption_OSome'( W, Z ), T, 'tc_Option_Ooption'( Z ) ), T, Z ),
% 1.07/1.45 ~( 'c_Map_Omap__le'( X, U, T, Z ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OLocal'( Y, Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 1.07/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ),
% 1.07/1.45 Z ), Z ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.07/1.45 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 1.07/1.45 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ =( 'c_Collect'( X, Y ), X ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.07/1.45 , T ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.07/1.45 , Z ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 1.07/1.45 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.07/1.45 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 1.07/1.45 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.07/1.45 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.07/1.45 [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( 'c_Map_Omap__add'(
% 1.07/1.45 U, X, Z, T ), Y, Z, T ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.07/1.45 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.07/1.45 [ 'c_Map_Omap__le'( X, X, Y, Z ) ],
% 1.07/1.45 [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U, Y, Z, T ) ),
% 1.07/1.45 ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.07/1.45 X, T ), Y ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OAss'( Y, Z ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_OMGT'( Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 1.07/1.45 ~( 'c_Com_OWT'( Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.07/1.45 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_OMGT'( 'c_Com_Ocom_OBODY'(
% 1.07/1.45 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 1.07/1.45 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.07/1.45 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 1.07/1.45 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.07/1.45 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.07/1.45 , =( Z, W ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.07/1.45 , =( Y, U ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.07/1.45 , =( X, T ) ],
% 1.07/1.45 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 1.07/1.45 ) ) ), =( X, Z ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_Map_Omap__add'( X, 'c_Map_Omap__add'( Y, Z, T, U ), T, U ),
% 1.07/1.45 'c_Map_Omap__add'( 'c_Map_Omap__add'( X, Y, T, U ), Z, T, U ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OLocal'( Z, T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 1.07/1.45 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( hAPP(
% 1.07/1.45 'c_Com_Obody', Z ), 'tc_Com_Ocom' ), T, U ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 1.07/1.45 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 1.07/1.45 , X, 'tc_Hoare__Mirabelle_Otriple'( U ) ), 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( hAPP(
% 1.07/1.45 'c_Com_Obody', Z ), 'tc_Com_Ocom' ), T, U ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.07/1.45 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.07/1.45 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 1.07/1.45 Y, T ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), T ), Z ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.07/1.45 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( U ), T ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U )
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'(
% 1.07/1.45 'c_Com_Osko__Com__XWTs__elim__cases__7__1'( X ), 'tc_Com_Ocom' ) ), ~(
% 1.07/1.45 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 1.07/1.45 [ =( 'c_Map_Odom'( 'c_Fun_Ofun__upd'( X, Y, 'c_Option_Ooption_ONone'( Z
% 1.07/1.45 ), T, 'tc_Option_Ooption'( Z ) ), T, Z ), 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Map_Odom'( X, T, Z ), 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.07/1.45 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 1.07/1.45 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 1.07/1.45 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 1.07/1.45 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 1.07/1.45 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.07/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 1.07/1.45 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( T ), Y ), W ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.07/1.45 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.07/1.45 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 1.07/1.45 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( hAPP( hAPP( 'c_in'( U ),
% 1.07/1.45 T ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.07/1.45 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.07/1.45 'c_Finite__Set_Ocard'( X, Z ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X )
% 1.07/1.45 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSemi'( Z, T ), U, W
% 1.07/1.45 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ),
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, U, W ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, V0, W ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ],
% 1.07/1.45 [ =( 'c_Map_Omap__add'( 'c_Fun_Ofun__upd'( X, Y,
% 1.07/1.45 'c_Option_Ooption_OSome'( Z, T ), U, 'tc_Option_Ooption'( T ) ), W, U, T
% 1.07/1.45 ), 'c_Fun_Ofun__upd'( 'c_Map_Omap__add'( X, W, U, T ), Y,
% 1.07/1.45 'c_Option_Ooption_OSome'( Z, T ), U, 'tc_Option_Ooption'( T ) ) ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( U ), Y ), 'c_Map_Odom'( W, U, T ) ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.07/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Collect'( hAPP( 'c_COMBC'(
% 1.07/1.45 'c_COMBB'( 'c_in'( T ), X, T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ),
% 1.07/1.45 'tc_bool' ), Z ), Z, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ), Z ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 1.07/1.45 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.07/1.45 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 1.07/1.45 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z
% 1.07/1.45 ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.07/1.45 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 1.07/1.45 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.07/1.45 T ), Z ), Y ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 1.07/1.45 ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~(
% 1.07/1.45 'c_Finite__Set_Ofold__graph'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.07/1.45 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 1.07/1.45 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.07/1.45 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 1.07/1.45 [ =( 'c_Hoare__Mirabelle_OMGT'( 'v_c' ),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_fequal'( 'tc_Com_Ostate' ),
% 1.07/1.45 'v_c', 'c_Natural_Oevalc'( 'v_c' ), 'tc_Com_Ostate' ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 1.07/1.45 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), 'c_Set_Oinsert'( Y
% 1.07/1.45 , U, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Map_Odom'( X, T, Z ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_OMGT'( 'c_Com_Ocom_OBODY'( Y ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_OMGT'( 'c_Com_Ocom_OBODY'( Y ) ), X,
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_OMGT'( 'c_Option_Othe'( hAPP( 'c_Com_Obody', Y ),
% 1.07/1.45 'tc_Com_Ocom' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) )
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.07/1.45 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 1.07/1.45 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.07/1.45 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.07/1.45 , X ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'c_Collect'( X, Z ),
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.07/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.07/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.07/1.45 U ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, Y ) ),
% 1.07/1.45 Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'(
% 1.07/1.45 X, Y ) ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), Z
% 1.07/1.45 ), U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.07/1.45 , T, X ) ) ), =( Y, Z ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.07/1.45 , T, X ) ) ), =( Z, T ) ],
% 1.07/1.45 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 1.07/1.45 , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), T ), U ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z )
% 1.07/1.45 , Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'(
% 1.07/1.45 'c_Com_Ocom_OCond'( X, Z, U ) ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ) ), Z
% 1.07/1.45 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Y ), U ), T ) ) ),
% 1.07/1.45 ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Z ), U ) ) ) ],
% 1.07/1.45 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), Y, Z ) ],
% 1.07/1.45 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Map_Odom'( X, Y
% 1.07/1.45 , Z ), 'c_Map_Odom'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =(
% 1.07/1.45 'c_Map_Omap__add'( X, T, Y, Z ), 'c_Map_Omap__add'( T, X, Y, Z ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =(
% 1.07/1.45 'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U, T )
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.07/1.45 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 1.07/1.45 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.07/1.45 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 1.07/1.45 Y, Z ) ) ],
% 1.07/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.07/1.45 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ),
% 1.07/1.45 'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( X, U ),
% 1.07/1.45 'c_Option_Ooption_OSome'( W, T ) ), =( hAPP( Y, U ),
% 1.07/1.45 'c_Option_Ooption_OSome'( W, T ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), ~( =( hAPP(
% 1.07/1.45 U, Y ), 'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( 'c_Map_Omap__add'( X
% 1.07/1.45 , U, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ),
% 1.07/1.45 'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( X, U ),
% 1.07/1.45 'c_Option_Ooption_ONone'( T ) ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ),
% 1.07/1.45 'c_Option_Ooption_ONone'( T ) ) ), =( hAPP( Y, U ),
% 1.07/1.45 'c_Option_Ooption_ONone'( T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 1.07/1.45 ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 1.07/1.45 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.07/1.45 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.07/1.45 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.07/1.45 =( X, Z ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.07/1.45 =( Y, T ) ],
% 1.07/1.45 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.07/1.45 ) ), Z, X ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.07/1.45 ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.07/1.45 Y, X ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.07/1.45 'c_Collect'( T, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( =( hAPP( T,
% 1.07/1.45 Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =( hAPP( 'c_Map_Omap__add'( X, T
% 1.07/1.45 , U, Z ), Y ), 'c_Option_Ooption_ONone'( Z ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP(
% 1.07/1.45 'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =( hAPP(
% 1.07/1.45 'c_Map_Omap__add'( U, X, W, T ), Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 1.07/1.45 ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.07/1.45 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 1.07/1.45 Z, T, U ), U, X ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OAss'( T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), Y ) ) ) ],
% 1.07/1.45 [ 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( Y, X, Z, T ), Z, T ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 1.07/1.45 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( Z ), X ), Y ) ) ],
% 1.07/1.45 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.07/1.45 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 1.07/1.45 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'(
% 1.07/1.45 'c_Com_Ocom_OSKIP' ), Y ), X ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.07/1.45 ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 1.07/1.45 ) ],
% 1.07/1.45 [ 'c_Map_Omap__le'( 'c_Map_Omap__add'( X, Y, Z, T ), U, Z, T ), ~(
% 1.07/1.45 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ), ~(
% 1.07/1.45 'c_Map_Omap__le'( Y, U, Z, T ) ), ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, U )
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 1.07/1.45 , Z ) ), T ) ), ~( hBOOL( hAPP( U,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 1.07/1.45 , Z ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 1.07/1.45 , Z ) ), T ) ), ~( hBOOL( hAPP( X,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 1.07/1.45 , Z ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( X,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 1.07/1.45 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 1.07/1.45 , Z ) ), T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( U,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 1.07/1.45 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 1.07/1.45 , Z ) ), T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.07/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.07/1.45 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_SetInterval_Oord_OgreaterThanLessThan'( Z, T, U, X ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_SetInterval_Oord_OgreaterThanAtMost'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( Z, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 1.07/1.45 [ =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T ) )
% 1.07/1.45 , ~( 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Map_Omap__add'( X, Y, Z, T ), 'c_Map_Omap__add'( Y, X, Z, T )
% 1.07/1.45 ) ), 'c_Map_Omap__le'( X, 'c_Map_Omap__add'( X, Y, Z, T ), Z, T ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ) ), Y ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.45 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.07/1.45 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OLocal'( X, Y, Z ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), T ) ) ), ~( =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.07/1.45 , X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.07/1.45 , Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.07/1.45 , Y, X ) ) ],
% 1.07/1.45 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.07/1.45 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP' ), X ), X )
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ],
% 1.07/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.07/1.45 ), =( Z, Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~( 'c_Map_Omap__le'( X
% 1.07/1.45 , Y, Z, T ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.07/1.45 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.07/1.45 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.07/1.45 ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.07/1.45 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.07/1.45 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, 'c_Map_Osko__Map__Xmap__le__def__1__1'( X, Y, Z, T ) )
% 1.07/1.45 , hAPP( Y, 'c_Map_Osko__Map__Xmap__le__def__1__1'( X, Y, Z, T ) ) ) ),
% 1.07/1.45 'c_Map_Omap__le'( X, Y, Z, T ) ],
% 1.07/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.07/1.45 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.07/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.07/1.45 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.07/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.07/1.45 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.07/1.45 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.07/1.45 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP( T
% 1.07/1.45 , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( T
% 1.07/1.45 , U, X ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 1.07/1.45 , T ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), U ) ) )
% 1.07/1.45 , hBOOL( hAPP( X, T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OAss'( X, Y ) ) ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 1.07/1.45 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 1.07/1.45 , U, V3, V4, T ) ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 1.07/1.45 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 1.07/1.45 V2, V3, V4, T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 1.07/1.45 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( U ), V0 ), Y ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.07/1.45 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.07/1.45 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.07/1.45 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.07/1.45 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ),
% 1.07/1.45 'c_Option_Ooption_OSome'( W, T ) ) ), =( hAPP( Y, U ),
% 1.07/1.45 'c_Option_Ooption_ONone'( T ) ), =( hAPP( Y, U ),
% 1.07/1.45 'c_Option_Ooption_OSome'( W, T ) ) ],
% 1.07/1.45 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 1.07/1.45 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( Y,
% 1.07/1.45 T ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OAss'( Z, T ) ) ), =( X,
% 1.07/1.45 Z ) ],
% 1.07/1.45 [ =( 'c_Set_Oinsert'( X,
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.07/1.45 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 1.07/1.45 ), =( Z, W ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 1.07/1.45 ), =( Y, U ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OLocal'( X, Y, Z ), 'c_Com_Ocom_OLocal'( T, U, W ) )
% 1.07/1.45 ), =( X, T ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 1.07/1.45 , 'tc_bool' ) ), Z ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.07/1.45 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 1.07/1.45 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 1.07/1.45 , 'tc_bool' ) ), T ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.07/1.45 , Z, V2, Y ) ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.07/1.45 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.07/1.45 , V2, Z, Y ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_Natural_Oevalc'( 'c_Com_Ocom_OWhile'( X, T ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.07/1.45 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.07/1.45 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), X ) ],
% 1.07/1.45 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 1.07/1.45 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.07/1.45 , 'tc_bool' ) ), X ) ) ],
% 1.07/1.45 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.07/1.45 Z, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 1.07/1.45 ) ],
% 1.07/1.45 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 1.07/1.45 ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.07/1.45 X, T, U ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.07/1.45 hAPP( X, U ) ) ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.07/1.45 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.07/1.45 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( X, T ) ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.07/1.45 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.07/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.07/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.07/1.45 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.07/1.45 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OAss'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.07/1.45 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.07/1.45 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 1.07/1.45 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.07/1.45 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.07/1.45 'tc_bool' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_Natural_Oevalc'( T ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_Natural_Oevalc'( 'c_Com_Ocom_OCond'( U, T, X ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 1.07/1.45 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 1.07/1.45 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.07/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.07/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.07/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.07/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.07/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.07/1.45 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( U, X, Y, W, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.07/1.45 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( X, U, W, Z, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( X,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 1.07/1.45 , Z ) ) ) ), ~( hBOOL( hAPP( U,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 1.07/1.45 , Z ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( U,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 1.07/1.45 , Z ) ) ) ), ~( hBOOL( hAPP( X,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 1.07/1.45 , Z ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 1.07/1.45 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 1.07/1.45 , Z ) ), T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 1.07/1.45 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 1.07/1.45 , Z ) ), T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( X,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 1.07/1.45 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 1.07/1.45 , X, Z ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( U,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 1.07/1.45 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 1.07/1.45 , U, Z ) ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'(
% 1.07/1.45 Z, T, X ) ), Z ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.07/1.45 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, Y, U, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.07/1.45 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, U, Z, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 1.07/1.45 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.07/1.45 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.07/1.45 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.07/1.45 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.07/1.45 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.07/1.45 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.07/1.45 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.07/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.07/1.45 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 1.07/1.45 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL(
% 1.07/1.45 hAPP( Z, Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.07/1.45 'c_Collect'( X, Z ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z,
% 1.07/1.45 T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.07/1.45 ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 1.07/1.45 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 1.07/1.45 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 1.07/1.45 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 1.07/1.45 , X, Z ) ), T ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 1.07/1.45 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 1.07/1.45 , U, Z ) ), T ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 1.07/1.45 , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 1.07/1.45 ) ) ],
% 1.07/1.45 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 1.07/1.45 ), X ), Y ) ), =( Y, T ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'(
% 1.07/1.45 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 1.07/1.45 hBOOL( hAPP( Z, T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.07/1.45 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.07/1.45 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.07/1.45 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'(
% 1.07/1.45 Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.07/1.45 ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X,
% 1.07/1.45 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 1.07/1.45 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 1.07/1.45 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.07/1.45 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.07/1.45 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.07/1.45 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.07/1.45 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.07/1.45 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 1.07/1.45 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.07/1.45 ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 1.07/1.45 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.07/1.45 ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'(
% 1.07/1.45 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( X ), T ), Y ) ) ) ],
% 1.07/1.45 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 1.07/1.45 , X ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 1.07/1.45 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.07/1.45 ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 1.07/1.45 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.07/1.45 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.07/1.45 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.07/1.45 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 1.07/1.45 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.07/1.45 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.07/1.45 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.07/1.45 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.07/1.45 ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.07/1.45 ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.07/1.45 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 1.07/1.45 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 1.07/1.45 ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 1.07/1.45 , Y ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.07/1.45 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 1.07/1.45 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 1.07/1.45 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.07/1.45 [ =( hAPP( X, Y ), 'c_Option_Ooption_OSome'(
% 1.07/1.45 'c_Map_Osko__Map__XdomD__1__1'( Y, X, Z, T ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_in'( Z ), Y ), 'c_Map_Odom'( X, Z, T ) ) ) ) ],
% 1.07/1.45 [ 'c_Map_Omap__le'( X, Y, Z, T ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.07/1.45 'c_Map_Osko__Map__Xmap__le__def__1__1'( X, Y, Z, T ) ), 'c_Map_Odom'( X,
% 1.07/1.45 Z, T ) ) ) ],
% 1.07/1.45 [ 'c_Com_OWT'( 'c_Com_Ocom_OBODY'( X ) ), =( hAPP( 'c_Com_Obody', X ),
% 1.07/1.45 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y )
% 1.07/1.45 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( hAPP(
% 1.07/1.45 'c_Com_Obody', X ), 'tc_Com_Ocom' ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( 'c_Option_Othe'( hAPP(
% 1.07/1.45 'c_Com_Obody', X ), 'tc_Com_Ocom' ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.07/1.45 'c_Natural_Oevalc'( 'c_Com_Ocom_OBODY'( X ) ), Y ), Z ) ) ) ],
% 1.07/1.45 [ =( 'c_Option_Othe'( 'c_Option_Ooption_OSome'( X, Y ), Y ), X ) ],
% 1.07/1.45 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, X, Z ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OCond'( Y, Z, X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ), ~(
% 1.07/1.45 'c_Com_OWT'( X ) ) ],
% 1.07/1.45 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OSemi'( Y, X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Com_OWT'( 'c_Com_Ocom_OCond'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ),
% 1.07/1.45 ~( 'c_Com_OWT'( Y ) ) ],
% 1.07/1.45 [ 'c_Com_OWT'( 'c_Com_Ocom_OSKIP' ) ],
% 1.07/1.45 [ 'c_Com_OWT'( 'c_Com_Ocom_OAss'( X, Y ) ) ],
% 1.07/1.45 [ 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( X, Y ) ), ~( 'c_Com_OWT'( Y ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OWhile'( Y, X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( X, Y, Z ) ), ~( 'c_Com_OWT'( Z ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Com_OWT'( X ), ~( 'c_Com_OWT'( 'c_Com_Ocom_OLocal'( Y, Z, X ) ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 1.07/1.45 'c_Hoare__Mirabelle_OMGT'( Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 1.07/1.45 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 1.07/1.45 ~( 'c_Com_OWT'( Y ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Com_Opname' ),
% 1.07/1.45 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ), 'c_Map_Odom'(
% 1.07/1.45 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ) ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.07/1.45 [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~(
% 1.07/1.45 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.07/1.45 [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( X, U ) ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( Z ), U ), 'c_Map_Odom'( Y, Z, T ) ) ) ],
% 1.07/1.45 [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), hBOOL(
% 1.07/1.45 hAPP( hAPP( 'c_in'( Z ), U ), 'c_Map_Odom'( X, Z, T ) ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Map_Odom'( Z, X, T ) ) ), =(
% 1.07/1.45 hAPP( Z, Y ), 'c_Option_Ooption_ONone'( T ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( T ), Y ), 'c_Map_Odom'( X, T, Z ) ) ) ) ],
% 1.07/1.45 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), hBOOL( hAPP(
% 1.07/1.45 hAPP( 'c_in'( U ), Y ), 'c_Map_Odom'( X, U, T ) ) ) ],
% 1.07/1.45 [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.07/1.45 ), 'c_Map_Odom'( X, T, U ) ) ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ =( hAPP( 'c_Map_Omap__add'( X, Y, Z, T ), U ), hAPP( Y, U ) ), ~(
% 1.07/1.45 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), 'c_Map_Odom'( Y, Z, T ) ) ) ) ],
% 1.07/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 1.07/1.45 , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 1.07/1.45 [ ~( =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'( Y,
% 1.07/1.45 'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.07/1.45 ],
% 1.07/1.45 [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 1.07/1.45 [ 'c_Com_OWT__bodies' ],
% 1.07/1.45 [ 'c_Com_OWT'( 'v_c' ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Com_Opname' ), 'v_pn' ), 'c_Map_Odom'(
% 1.07/1.45 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ) ) ) ],
% 1.07/1.45 [ ~( 'c_Com_OWT'( 'c_Option_Othe'( hAPP( 'c_Com_Obody', 'v_pn' ),
% 1.07/1.45 'tc_Com_Ocom' ) ) ) ],
% 1.07/1.45 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.45 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.07/1.45 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.45 'class_Lattices_Olattice'( Y ) ) ],
% 1.07/1.45 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.45 'class_Lattices_Olattice'( Y ) ) ],
% 1.07/1.45 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.45 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.07/1.45 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.45 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.07/1.45 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.45 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.07/1.45 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.07/1.45 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.45 'class_Orderings_Opreorder'( Y ) ) ],
% 1.07/1.45 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.45 'class_Lattices_Olattice'( Y ) ) ],
% 1.07/1.45 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.07/1.45 'class_Orderings_Oorder'( Y ) ) ],
% 1.07/1.45 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.07/1.45 Y ) ) ],
% 1.07/1.45 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.07/1.45 ,
% 1.07/1.45 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.07/1.45 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.07/1.45 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.07/1.45 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.07/1.45 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.07/1.45 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.07/1.45 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.07/1.45 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.07/1.45 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.07/1.45 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.07/1.45 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 1.07/1.45 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.07/1.45 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.07/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.07/1.45 ] .
% 1.07/1.45
% 1.07/1.45
% 1.07/1.45 percentage equality = 0.288855, percentage horn = 0.889423
% 1.07/1.45 This is a problem with some equality
% 1.07/1.45
% 1.07/1.45
% 1.07/1.45
% 1.07/1.45 Options Used:
% 1.07/1.45
% 1.07/1.45 useres = 1
% 1.07/1.45 useparamod = 1
% 1.07/1.45 useeqrefl = 1
% 1.07/1.45 useeqfact = 1
% 1.07/1.45 usefactor = 1
% 1.07/1.45 usesimpsplitting = 0
% 1.07/1.45 usesimpdemod = 5
% 1.07/1.45 usesimpres = 3
% 1.07/1.45
% 1.07/1.45 resimpinuse = 1000
% 1.07/1.45 resimpclauses = 20000
% 1.07/1.45 substype = eqrewr
% 1.07/1.45 backwardsubs = 1
% 1.07/1.45 selectoldest = 5
% 1.07/1.45
% 1.07/1.45 litorderings [0] = split
% 1.07/1.45 litorderings [1] = extend the termordering, first sorting on arguments
% 1.07/1.45
% 1.07/1.45 termordering = kbo
% 1.07/1.45
% 1.07/1.45 litapriori = 0
% 1.07/1.45 termapriori = 1
% 1.07/1.45 litaposteriori = 0
% 1.07/1.45 termaposteriori = 0
% 1.07/1.45 demodaposteriori = 0
% 1.07/1.45 ordereqreflfact = 0
% 1.07/1.45
% 1.07/1.45 litselect = negord
% 1.07/1.45
% 1.07/1.45 maxweight = 15
% 1.07/1.45 maxdepth = 30000
% 1.07/1.45 maxlength = 115
% 1.07/1.45 maxnrvars = 195
% 1.07/1.45 excuselevel = 1
% 1.07/1.45 increasemaxweight = 1
% 1.07/1.45
% 1.07/1.45 maxselected = 10000000
% 1.07/1.45 maxnrclauses = 10000000
% 1.07/1.45
% 1.07/1.45 showgenerated = 0
% 1.07/1.45 showkept = 0
% 1.07/1.45 showselected = 0
% 1.07/1.45 showdeleted = 0
% 1.07/1.45 showresimp = 1
% 1.07/1.45 showstatus = 2000
% 1.07/1.45
% 1.07/1.45 prologoutput = 1
% 1.07/1.45 nrgoals = 5000000
% 1.07/1.45 totalproof = 1
% 1.07/1.45
% 1.07/1.45 Symbols occurring in the translation:
% 1.07/1.45
% 1.07/1.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.07/1.45 . [1, 2] (w:1, o:149, a:1, s:1, b:0),
% 1.07/1.45 ! [4, 1] (w:0, o:114, a:1, s:1, b:0),
% 1.07/1.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.07/1.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.07/1.45 'class_Lattices_Olower__semilattice' [40, 1] (w:1, o:119, a:1, s:1
% 1.07/1.45 , b:0),
% 1.07/1.45 'c_Lattices_Olower__semilattice__class_Oinf' [43, 3] (w:1, o:184, a:1
% 1.07/1.45 , s:1, b:0),
% 1.07/1.45 'c_lessequals' [44, 3] (w:1, o:185, a:1, s:1, b:0),
% 1.07/1.45 'class_Lattices_Olattice' [48, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.07/1.45 'tc_bool' [51, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.07/1.45 'tc_fun' [52, 2] (w:1, o:174, a:1, s:1, b:0),
% 1.07/1.45 'c_Lattices_Oupper__semilattice__class_Osup' [53, 3] (w:1, o:186, a:1
% 1.07/1.45 , s:1, b:0),
% 1.07/1.45 'c_Orderings_Obot__class_Obot' [56, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.07/1.45 'c_Hoare__Mirabelle_Otriple_Otriple' [60, 4] (w:1, o:204, a:1, s:1
% 1.07/1.45 , b:0),
% 1.07/1.45 hAPP [65, 2] (w:1, o:175, a:1, s:1, b:0),
% 1.07/1.45 'c_Fun_Ofun__upd' [67, 5] (w:1, o:219, a:1, s:1, b:0),
% 1.07/1.45 'class_Lattices_Oupper__semilattice' [69, 1] (w:1, o:123, a:1, s:1
% 1.07/1.45 , b:0),
% 1.07/1.45 'class_Orderings_Opreorder' [70, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.07/1.45 'c_HOL_Oord__class_Oless' [71, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.07/1.45 'class_Orderings_Oorder' [72, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.07/1.45 'class_HOL_Oord' [73, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.07/1.45 'c_HOL_Ominus__class_Ominus' [75, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.07/1.45 'class_Lattices_Obounded__lattice' [76, 1] (w:1, o:127, a:1, s:1, b:0
% 1.07/1.45 ),
% 1.07/1.45 'c_Finite__Set_Ofinite' [78, 2] (w:1, o:176, a:1, s:1, b:0),
% 1.07/1.45 hBOOL [80, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.07/1.45 'tc_Option_Ooption' [84, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.07/1.45 'c_Map_Omap__le' [85, 4] (w:1, o:205, a:1, s:1, b:0),
% 1.07/1.45 'c_Finite__Set_Ofold__graph' [86, 6] (w:1, o:224, a:1, s:1, b:0),
% 1.07/1.45 'c_Set_Oinsert' [87, 3] (w:1, o:189, a:1, s:1, b:0),
% 4.74/5.14 'c_Option_Ooption_OSome' [88, 2] (w:1, o:177, a:1, s:1, b:0),
% 4.74/5.14 'class_Orderings_Obot' [89, 1] (w:1, o:130, a:1, s:1, b:0),
% 4.74/5.14 'class_Lattices_Odistrib__lattice' [90, 1] (w:1, o:131, a:1, s:1, b:0
% 4.74/5.14 ),
% 4.74/5.14 'c_Set_Oimage' [92, 4] (w:1, o:206, a:1, s:1, b:0),
% 4.74/5.14 'c_COMBB' [93, 5] (w:1, o:220, a:1, s:1, b:0),
% 4.74/5.14 'c_Fun_Oinj__on' [94, 4] (w:1, o:207, a:1, s:1, b:0),
% 4.74/5.14 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [101, 4] (w:1
% 4.74/5.14 , o:208, a:1, s:1, b:0),
% 4.74/5.14 'class_OrderedGroup_Opordered__ab__group__add' [102, 1] (w:1, o:132
% 4.74/5.14 , a:1, s:1, b:0),
% 4.74/5.14 'class_Orderings_Olinorder' [105, 1] (w:1, o:133, a:1, s:1, b:0),
% 4.74/5.14 'class_OrderedGroup_Oab__group__add' [107, 1] (w:1, o:134, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'c_Finite__Set_Osetsum' [108, 4] (w:1, o:209, a:1, s:1, b:0),
% 4.74/5.14 'c_Finite__Set_Ocard' [109, 2] (w:1, o:178, a:1, s:1, b:0),
% 4.74/5.14 'c_in' [110, 1] (w:1, o:135, a:1, s:1, b:0),
% 4.74/5.14 'class_Complete__Lattice_Ocomplete__lattice' [111, 1] (w:1, o:136, a:
% 4.74/5.14 1, s:1, b:0),
% 4.74/5.14 'c_COMBK' [114, 3] (w:1, o:190, a:1, s:1, b:0),
% 4.74/5.14 'c_COMBC' [117, 4] (w:1, o:210, a:1, s:1, b:0),
% 4.74/5.14 'c_Set_Ovimage' [118, 4] (w:1, o:211, a:1, s:1, b:0),
% 4.74/5.14 'c_Map_Omap__add' [119, 4] (w:1, o:212, a:1, s:1, b:0),
% 4.74/5.14 'c_Map_Odom' [120, 3] (w:1, o:191, a:1, s:1, b:0),
% 4.74/5.14 'c_Option_Ooption_ONone' [121, 1] (w:1, o:137, a:1, s:1, b:0),
% 4.74/5.14 'c_Nitpick_Ofold__graph_H' [122, 6] (w:1, o:225, a:1, s:1, b:0),
% 4.74/5.14 'c_Hoare__Mirabelle_OMGT' [123, 1] (w:1, o:138, a:1, s:1, b:0),
% 4.74/5.14 'tc_Com_Ostate' [124, 0] (w:1, o:87, a:1, s:1, b:0),
% 4.74/5.14 'c_fequal' [125, 1] (w:1, o:139, a:1, s:1, b:0),
% 4.74/5.14 'c_Natural_Oevalc' [126, 1] (w:1, o:121, a:1, s:1, b:0),
% 4.74/5.14 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [127, 4] (w:1, o:213, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'c_Collect' [128, 2] (w:1, o:179, a:1, s:1, b:0),
% 4.74/5.14 'c_Com_Ocom_OWhile' [132, 2] (w:1, o:180, a:1, s:1, b:0),
% 4.74/5.14 'c_Com_Ocom_OSKIP' [133, 0] (w:1, o:89, a:1, s:1, b:0),
% 4.74/5.14 'c_Com_Ocom_OBODY' [135, 1] (w:1, o:140, a:1, s:1, b:0),
% 4.74/5.14 'c_Com_Ocom_OLocal' [138, 3] (w:1, o:192, a:1, s:1, b:0),
% 4.74/5.14 'c_Com_Ocom_OAss' [141, 2] (w:1, o:181, a:1, s:1, b:0),
% 4.74/5.14 'c_Com_Ocom_OSemi' [144, 2] (w:1, o:182, a:1, s:1, b:0),
% 4.74/5.14 'c_Com_Ocom_OCond' [147, 3] (w:1, o:193, a:1, s:1, b:0),
% 4.74/5.14 'tc_Hoare__Mirabelle_Otriple' [151, 1] (w:1, o:141, a:1, s:1, b:0),
% 4.74/5.14 'c_Hoare__Mirabelle_Ohoare__derivs' [152, 3] (w:1, o:194, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'c_Com_OWT' [153, 1] (w:1, o:142, a:1, s:1, b:0),
% 4.74/5.14 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1' [154, 1] (w:1, o:143, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'c_Hoare__Mirabelle_Ostate__not__singleton' [155, 0] (w:1, o:95, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'c_Complete__Lattice_Ocomplete__lattice' [164, 9] (w:1, o:226, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'c_Com_Obody' [167, 0] (w:1, o:88, a:1, s:1, b:0),
% 4.74/5.14 'tc_Com_Ocom' [168, 0] (w:1, o:101, a:1, s:1, b:0),
% 4.74/5.14 'c_Option_Othe' [169, 2] (w:1, o:183, a:1, s:1, b:0),
% 4.74/5.14 'class_Ring__and__Field_Oring' [170, 1] (w:1, o:144, a:1, s:1, b:0),
% 4.74/5.14
% 4.74/5.14 'c_Com_Osko__Com__XWTs__elim__cases__7__1' [171, 1] (w:1, o:145, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'tc_nat' [175, 0] (w:1, o:102, a:1, s:1, b:0),
% 4.74/5.14 'v_c' [176, 0] (w:1, o:103, a:1, s:1, b:0),
% 4.74/5.14 'class_Finite__Set_Ofinite_Ofinite' [185, 1] (w:1, o:146, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'c_ATP__Linkup_Osko__Set__XbexCI__1__1' [187, 3] (w:1, o:195, a:1, s:
% 4.74/5.14 1, b:0),
% 4.74/5.14 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3' [189,
% 4.74/5.14 3] (w:1, o:196, a:1, s:1, b:0),
% 4.74/5.14 'c_SetInterval_Oord_OatLeastLessThan' [192, 5] (w:1, o:221, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'c_SetInterval_Oord_OatLeastAtMost' [193, 4] (w:1, o:214, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'c_SetInterval_Oord_OgreaterThanLessThan' [194, 4] (w:1, o:215, a:1
% 4.74/5.14 , s:1, b:0),
% 4.74/5.14 'c_SetInterval_Oord_OgreaterThanAtMost' [195, 5] (w:1, o:222, a:1, s:
% 4.74/5.14 1, b:0),
% 4.74/5.14 'c_ATP__Linkup_Osko__Set__XbexI__1__1' [196, 3] (w:1, o:197, a:1, s:1
% 4.74/5.14 , b:0),
% 4.74/5.14 'class_Ring__and__Field_Oordered__idom' [197, 1] (w:1, o:147, a:1, s:
% 4.74/5.14 1, b:0),
% 4.74/5.14 'c_Map_Osko__Map__Xmap__le__def__1__1' [200, 4] (w:1, o:216, a:1, s:1
% 24.13/24.58 , b:0),
% 24.13/24.58 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3' [202, 5] (w:1
% 24.13/24.58 , o:223, a:1, s:1, b:0),
% 24.13/24.58 'c_ATP__Linkup_Osko__Set__XbexE__1__1' [204, 3] (w:1, o:198, a:1, s:1
% 24.13/24.58 , b:0),
% 24.13/24.58 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1' [207,
% 24.13/24.58 4] (w:1, o:217, a:1, s:1, b:0),
% 24.13/24.58 'c_ATP__Linkup_Osko__Set__XballE__1__1' [209, 3] (w:1, o:199, a:1, s:
% 24.13/24.58 1, b:0),
% 24.13/24.58 'c_SetInterval_Oord_OatMost' [210, 3] (w:1, o:200, a:1, s:1, b:0),
% 24.13/24.58 'c_SetInterval_Oord_OgreaterThan' [213, 3] (w:1, o:201, a:1, s:1, b:0
% 24.13/24.58 ),
% 24.13/24.58 'c_SetInterval_Oord_OlessThan' [214, 3] (w:1, o:202, a:1, s:1, b:0),
% 24.13/24.58
% 24.13/24.58 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1' [215, 3] (w:1, o:203, a:1
% 24.13/24.58 , s:1, b:0),
% 24.13/24.58 'c_Map_Osko__Map__XdomD__1__1' [216, 4] (w:1, o:218, a:1, s:1, b:0),
% 24.13/24.58
% 24.13/24.58 'tc_Com_Opname' [219, 0] (w:1, o:109, a:1, s:1, b:0),
% 24.13/24.58 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1' [220, 1] (w:1, o:148
% 24.13/24.58 , a:1, s:1, b:0),
% 24.13/24.58 'c_Com_OWT__bodies' [223, 0] (w:1, o:110, a:1, s:1, b:0),
% 24.13/24.58 'v_pn' [224, 0] (w:1, o:111, a:1, s:1, b:0).
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Starting Search:
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 6849
% 24.13/24.58 Kept: 2002
% 24.13/24.58 Inuse: 168
% 24.13/24.58 Deleted: 3
% 24.13/24.58 Deletedinuse: 0
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 16346
% 24.13/24.58 Kept: 4307
% 24.13/24.58 Inuse: 246
% 24.13/24.58 Deleted: 5
% 24.13/24.58 Deletedinuse: 0
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 25977
% 24.13/24.58 Kept: 6309
% 24.13/24.58 Inuse: 313
% 24.13/24.58 Deleted: 7
% 24.13/24.58 Deletedinuse: 0
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 33924
% 24.13/24.58 Kept: 8313
% 24.13/24.58 Inuse: 368
% 24.13/24.58 Deleted: 7
% 24.13/24.58 Deletedinuse: 0
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 47978
% 24.13/24.58 Kept: 10901
% 24.13/24.58 Inuse: 454
% 24.13/24.58 Deleted: 7
% 24.13/24.58 Deletedinuse: 0
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 59387
% 24.13/24.58 Kept: 13197
% 24.13/24.58 Inuse: 484
% 24.13/24.58 Deleted: 7
% 24.13/24.58 Deletedinuse: 0
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 73843
% 24.13/24.58 Kept: 15809
% 24.13/24.58 Inuse: 508
% 24.13/24.58 Deleted: 7
% 24.13/24.58 Deletedinuse: 0
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 81048
% 24.13/24.58 Kept: 17847
% 24.13/24.58 Inuse: 554
% 24.13/24.58 Deleted: 8
% 24.13/24.58 Deletedinuse: 1
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 92659
% 24.13/24.58 Kept: 19868
% 24.13/24.58 Inuse: 615
% 24.13/24.58 Deleted: 15
% 24.13/24.58 Deletedinuse: 2
% 24.13/24.58
% 24.13/24.58 Resimplifying clauses:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 103533
% 24.13/24.58 Kept: 21869
% 24.13/24.58 Inuse: 643
% 24.13/24.58 Deleted: 355
% 24.13/24.58 Deletedinuse: 2
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 114633
% 24.13/24.58 Kept: 23881
% 24.13/24.58 Inuse: 709
% 24.13/24.58 Deleted: 355
% 24.13/24.58 Deletedinuse: 2
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 123979
% 24.13/24.58 Kept: 25882
% 24.13/24.58 Inuse: 753
% 24.13/24.58 Deleted: 356
% 24.13/24.58 Deletedinuse: 3
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 128682
% 24.13/24.58 Kept: 27896
% 24.13/24.58 Inuse: 768
% 24.13/24.58 Deleted: 358
% 24.13/24.58 Deletedinuse: 5
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 136979
% 24.13/24.58 Kept: 29909
% 24.13/24.58 Inuse: 796
% 24.13/24.58 Deleted: 360
% 24.13/24.58 Deletedinuse: 7
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 144465
% 24.13/24.58 Kept: 31909
% 24.13/24.58 Inuse: 815
% 24.13/24.58 Deleted: 360
% 24.13/24.58 Deletedinuse: 7
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 156352
% 24.13/24.58 Kept: 34432
% 24.13/24.58 Inuse: 828
% 24.13/24.58 Deleted: 360
% 24.13/24.58 Deletedinuse: 7
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 160800
% 24.13/24.58 Kept: 36463
% 24.13/24.58 Inuse: 838
% 24.13/24.58 Deleted: 360
% 24.13/24.58 Deletedinuse: 7
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58 Resimplifying inuse:
% 24.13/24.58 Done
% 24.13/24.58
% 24.13/24.58
% 24.13/24.58 Intermediate Status:
% 24.13/24.58 Generated: 165578
% 24.13/24.58 Kept: 38487
% 24.13/24.58 Inuse: 848
% 24.13/24.58 Deleted: 360
% 24.13/24.58 Deletedinuse: 7
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18 Resimplifying clauses:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18
% 81.67/82.18 Intermediate Status:
% 81.67/82.18 Generated: 172044
% 81.67/82.18 Kept: 40711
% 81.67/82.18 Inuse: 864
% 81.67/82.18 Deleted: 540
% 81.67/82.18 Deletedinuse: 7
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18
% 81.67/82.18 Intermediate Status:
% 81.67/82.18 Generated: 178346
% 81.67/82.18 Kept: 42824
% 81.67/82.18 Inuse: 878
% 81.67/82.18 Deleted: 540
% 81.67/82.18 Deletedinuse: 7
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18
% 81.67/82.18 Intermediate Status:
% 81.67/82.18 Generated: 184371
% 81.67/82.18 Kept: 44915
% 81.67/82.18 Inuse: 891
% 81.67/82.18 Deleted: 541
% 81.67/82.18 Deletedinuse: 8
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18
% 81.67/82.18 Intermediate Status:
% 81.67/82.18 Generated: 189918
% 81.67/82.18 Kept: 46934
% 81.67/82.18 Inuse: 908
% 81.67/82.18 Deleted: 541
% 81.67/82.18 Deletedinuse: 8
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18
% 81.67/82.18 Intermediate Status:
% 81.67/82.18 Generated: 198801
% 81.67/82.18 Kept: 48982
% 81.67/82.18 Inuse: 943
% 81.67/82.18 Deleted: 541
% 81.67/82.18 Deletedinuse: 8
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18 Resimplifying inuse:
% 81.67/82.18 Done
% 81.67/82.18
% 81.67/82.18
% 81.67/82.18 Intermediate Status:
% 81.67/82.18 Generated: 207194
% 81.67/82.18 Kept: 50992
% 81.67/82.18 Inuse: 967
% 81.67/82.18 Deleted: 541
% 81.67/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 215868
% 81.73/82.18 Kept: 53107
% 81.73/82.18 Inuse: 995
% 81.73/82.18 Deleted: 541
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 226687
% 81.73/82.18 Kept: 55156
% 81.73/82.18 Inuse: 1012
% 81.73/82.18 Deleted: 541
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 236984
% 81.73/82.18 Kept: 57202
% 81.73/82.18 Inuse: 1032
% 81.73/82.18 Deleted: 541
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 251774
% 81.73/82.18 Kept: 60988
% 81.73/82.18 Inuse: 1043
% 81.73/82.18 Deleted: 541
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying clauses:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 264451
% 81.73/82.18 Kept: 64196
% 81.73/82.18 Inuse: 1048
% 81.73/82.18 Deleted: 769
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 283747
% 81.73/82.18 Kept: 67870
% 81.73/82.18 Inuse: 1083
% 81.73/82.18 Deleted: 769
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 296823
% 81.73/82.18 Kept: 69894
% 81.73/82.18 Inuse: 1119
% 81.73/82.18 Deleted: 769
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 321417
% 81.73/82.18 Kept: 73174
% 81.73/82.18 Inuse: 1133
% 81.73/82.18 Deleted: 769
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 336639
% 81.73/82.18 Kept: 75239
% 81.73/82.18 Inuse: 1145
% 81.73/82.18 Deleted: 769
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 350859
% 81.73/82.18 Kept: 77288
% 81.73/82.18 Inuse: 1177
% 81.73/82.18 Deleted: 769
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 363348
% 81.73/82.18 Kept: 79320
% 81.73/82.18 Inuse: 1200
% 81.73/82.18 Deleted: 769
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying clauses:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 372878
% 81.73/82.18 Kept: 81454
% 81.73/82.18 Inuse: 1221
% 81.73/82.18 Deleted: 851
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 384579
% 81.73/82.18 Kept: 83455
% 81.73/82.18 Inuse: 1250
% 81.73/82.18 Deleted: 851
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 408250
% 81.73/82.18 Kept: 87198
% 81.73/82.18 Inuse: 1273
% 81.73/82.18 Deleted: 851
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 418301
% 81.73/82.18 Kept: 89248
% 81.73/82.18 Inuse: 1295
% 81.73/82.18 Deleted: 851
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 430578
% 81.73/82.18 Kept: 91369
% 81.73/82.18 Inuse: 1328
% 81.73/82.18 Deleted: 851
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 440065
% 81.73/82.18 Kept: 93402
% 81.73/82.18 Inuse: 1358
% 81.73/82.18 Deleted: 851
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 81.73/82.18 Generated: 459038
% 81.73/82.18 Kept: 98192
% 81.73/82.18 Inuse: 1368
% 81.73/82.18 Deleted: 851
% 81.73/82.18 Deletedinuse: 8
% 81.73/82.18
% 81.73/82.18 Resimplifying inuse:
% 81.73/82.18 Done
% 81.73/82.18
% 81.73/82.18
% 81.73/82.18 Intermediate Status:
% 151.66/152.19 Generated: 476177
% 151.66/152.19 Kept: 102442
% 151.66/152.19 Inuse: 1373
% 151.66/152.19 Deleted: 851
% 151.66/152.19 Deletedinuse: 8
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying clauses:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 487599
% 151.66/152.19 Kept: 104454
% 151.66/152.19 Inuse: 1409
% 151.66/152.19 Deleted: 923
% 151.66/152.19 Deletedinuse: 8
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 503458
% 151.66/152.19 Kept: 113243
% 151.66/152.19 Inuse: 1418
% 151.66/152.19 Deleted: 923
% 151.66/152.19 Deletedinuse: 8
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 513302
% 151.66/152.19 Kept: 115384
% 151.66/152.19 Inuse: 1443
% 151.66/152.19 Deleted: 923
% 151.66/152.19 Deletedinuse: 8
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 523605
% 151.66/152.19 Kept: 117641
% 151.66/152.19 Inuse: 1468
% 151.66/152.19 Deleted: 923
% 151.66/152.19 Deletedinuse: 8
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 538689
% 151.66/152.19 Kept: 120066
% 151.66/152.19 Inuse: 1473
% 151.66/152.19 Deleted: 923
% 151.66/152.19 Deletedinuse: 8
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 546473
% 151.66/152.19 Kept: 122152
% 151.66/152.19 Inuse: 1492
% 151.66/152.19 Deleted: 923
% 151.66/152.19 Deletedinuse: 8
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying clauses:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 554067
% 151.66/152.19 Kept: 124164
% 151.66/152.19 Inuse: 1508
% 151.66/152.19 Deleted: 937
% 151.66/152.19 Deletedinuse: 8
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 572962
% 151.66/152.19 Kept: 126766
% 151.66/152.19 Inuse: 1523
% 151.66/152.19 Deleted: 938
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 603861
% 151.66/152.19 Kept: 129693
% 151.66/152.19 Inuse: 1533
% 151.66/152.19 Deleted: 938
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 621802
% 151.66/152.19 Kept: 131697
% 151.66/152.19 Inuse: 1546
% 151.66/152.19 Deleted: 938
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 632261
% 151.66/152.19 Kept: 133902
% 151.66/152.19 Inuse: 1568
% 151.66/152.19 Deleted: 938
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 643090
% 151.66/152.19 Kept: 136258
% 151.66/152.19 Inuse: 1583
% 151.66/152.19 Deleted: 938
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 655487
% 151.66/152.19 Kept: 138557
% 151.66/152.19 Inuse: 1608
% 151.66/152.19 Deleted: 938
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 675371
% 151.66/152.19 Kept: 143256
% 151.66/152.19 Inuse: 1613
% 151.66/152.19 Deleted: 938
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying clauses:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 695334
% 151.66/152.19 Kept: 147994
% 151.66/152.19 Inuse: 1618
% 151.66/152.19 Deleted: 973
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 711906
% 151.66/152.19 Kept: 150003
% 151.66/152.19 Inuse: 1624
% 151.66/152.19 Deleted: 973
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 729606
% 151.66/152.19 Kept: 152043
% 151.66/152.19 Inuse: 1632
% 151.66/152.19 Deleted: 973
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 747108
% 151.66/152.19 Kept: 154274
% 151.66/152.19 Inuse: 1638
% 151.66/152.19 Deleted: 973
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 758123
% 151.66/152.19 Kept: 156284
% 151.66/152.19 Inuse: 1648
% 151.66/152.19 Deleted: 973
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 784688
% 151.66/152.19 Kept: 160838
% 151.66/152.19 Inuse: 1658
% 151.66/152.19 Deleted: 973
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 798136
% 151.66/152.19 Kept: 162859
% 151.66/152.19 Inuse: 1688
% 151.66/152.19 Deleted: 973
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying clauses:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 828348
% 151.66/152.19 Kept: 168252
% 151.66/152.19 Inuse: 1721
% 151.66/152.19 Deleted: 995
% 151.66/152.19 Deletedinuse: 9
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 851296
% 151.66/152.19 Kept: 171687
% 151.66/152.19 Inuse: 1737
% 151.66/152.19 Deleted: 1041
% 151.66/152.19 Deletedinuse: 55
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19
% 151.66/152.19 Intermediate Status:
% 151.66/152.19 Generated: 865417
% 151.66/152.19 Kept: 173749
% 151.66/152.19 Inuse: 1758
% 151.66/152.19 Deleted: 1047
% 151.66/152.19 Deletedinuse: 55
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 151.66/152.19 Done
% 151.66/152.19
% 151.66/152.19 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 877587
% 247.37/247.91 Kept: 175794
% 247.37/247.91 Inuse: 1786
% 247.37/247.91 Deleted: 1057
% 247.37/247.91 Deletedinuse: 56
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 895326
% 247.37/247.91 Kept: 177869
% 247.37/247.91 Inuse: 1819
% 247.37/247.91 Deleted: 1065
% 247.37/247.91 Deletedinuse: 56
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 908890
% 247.37/247.91 Kept: 179882
% 247.37/247.91 Inuse: 1849
% 247.37/247.91 Deleted: 1073
% 247.37/247.91 Deletedinuse: 56
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 923469
% 247.37/247.91 Kept: 184835
% 247.37/247.91 Inuse: 1863
% 247.37/247.91 Deleted: 1076
% 247.37/247.91 Deletedinuse: 56
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying clauses:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 948585
% 247.37/247.91 Kept: 187123
% 247.37/247.91 Inuse: 1874
% 247.37/247.91 Deleted: 19365
% 247.37/247.91 Deletedinuse: 64
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 953600
% 247.37/247.91 Kept: 189568
% 247.37/247.91 Inuse: 1880
% 247.37/247.91 Deleted: 19365
% 247.37/247.91 Deletedinuse: 64
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 972223
% 247.37/247.91 Kept: 200097
% 247.37/247.91 Inuse: 1884
% 247.37/247.91 Deleted: 19365
% 247.37/247.91 Deletedinuse: 64
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 979686
% 247.37/247.91 Kept: 202107
% 247.37/247.91 Inuse: 1895
% 247.37/247.91 Deleted: 19365
% 247.37/247.91 Deletedinuse: 64
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1013096
% 247.37/247.91 Kept: 204136
% 247.37/247.91 Inuse: 1916
% 247.37/247.91 Deleted: 19367
% 247.37/247.91 Deletedinuse: 65
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying clauses:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1028586
% 247.37/247.91 Kept: 206208
% 247.37/247.91 Inuse: 1937
% 247.37/247.91 Deleted: 20169
% 247.37/247.91 Deletedinuse: 65
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1057108
% 247.37/247.91 Kept: 208212
% 247.37/247.91 Inuse: 1976
% 247.37/247.91 Deleted: 20169
% 247.37/247.91 Deletedinuse: 65
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1108655
% 247.37/247.91 Kept: 210283
% 247.37/247.91 Inuse: 2011
% 247.37/247.91 Deleted: 20169
% 247.37/247.91 Deletedinuse: 65
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1123625
% 247.37/247.91 Kept: 212342
% 247.37/247.91 Inuse: 2035
% 247.37/247.91 Deleted: 20169
% 247.37/247.91 Deletedinuse: 65
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1174085
% 247.37/247.91 Kept: 214367
% 247.37/247.91 Inuse: 2059
% 247.37/247.91 Deleted: 20169
% 247.37/247.91 Deletedinuse: 65
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1221928
% 247.37/247.91 Kept: 221351
% 247.37/247.91 Inuse: 2099
% 247.37/247.91 Deleted: 20173
% 247.37/247.91 Deletedinuse: 69
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1265035
% 247.37/247.91 Kept: 223401
% 247.37/247.91 Inuse: 2152
% 247.37/247.91 Deleted: 20173
% 247.37/247.91 Deletedinuse: 69
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1296001
% 247.37/247.91 Kept: 229992
% 247.37/247.91 Inuse: 2179
% 247.37/247.91 Deleted: 20173
% 247.37/247.91 Deletedinuse: 69
% 247.37/247.91
% 247.37/247.91 Resimplifying inuse:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91 Resimplifying clauses:
% 247.37/247.91 Done
% 247.37/247.91
% 247.37/247.91
% 247.37/247.91 Intermediate Status:
% 247.37/247.91 Generated: 1306144
% 247.37/247.91 Kept: 234961
% 247.37/247.91 Inuse: 2180
% 247.37/247.91 Deleted: 20246
% 247.37/247.92 Deletedinuse: 69
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92
% 247.37/247.92 Intermediate Status:
% 247.37/247.92 Generated: 1324582
% 247.37/247.92 Kept: 237039
% 247.37/247.92 Inuse: 2199
% 247.37/247.92 Deleted: 20246
% 247.37/247.92 Deletedinuse: 69
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92
% 247.37/247.92 Intermediate Status:
% 247.37/247.92 Generated: 1344912
% 247.37/247.92 Kept: 239508
% 247.37/247.92 Inuse: 2230
% 247.37/247.92 Deleted: 20246
% 247.37/247.92 Deletedinuse: 69
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92
% 247.37/247.92 Intermediate Status:
% 247.37/247.92 Generated: 1351813
% 247.37/247.92 Kept: 241637
% 247.37/247.92 Inuse: 2234
% 247.37/247.92 Deleted: 20246
% 247.37/247.92 Deletedinuse: 69
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92
% 247.37/247.92 Intermediate Status:
% 247.37/247.92 Generated: 1357832
% 247.37/247.92 Kept: 243754
% 247.37/247.92 Inuse: 2237
% 247.37/247.92 Deleted: 20246
% 247.37/247.92 Deletedinuse: 69
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92
% 247.37/247.92 Intermediate Status:
% 247.37/247.92 Generated: 1366229
% 247.37/247.92 Kept: 245771
% 247.37/247.92 Inuse: 2245
% 247.37/247.92 Deleted: 20246
% 247.37/247.92 Deletedinuse: 69
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92 Resimplifying inuse:
% 247.37/247.92 Done
% 247.37/247.92
% 247.37/247.92
% 247.37/247.92 Intermediate Status:
% 247.37/247.92 Generated: 1428917
% 247.37/247.92 Kept: 247830
% 247.37/247.92 Inuse: 2290
% 247.37/247.92 DeletCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------