%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 16:29:10 EDT 2022
% Result : Timeout 300.07s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 16 04:01:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.92/1.27 *** allocated 10000 integers for termspace/termends
% 0.92/1.27 *** allocated 10000 integers for clauses
% 0.92/1.27 *** allocated 10000 integers for justifications
% 0.92/1.27 *** allocated 15000 integers for termspace/termends
% 0.92/1.27 Bliksem 1.12
% 0.92/1.27
% 0.92/1.27
% 0.92/1.27 Automatic Strategy Selection
% 0.92/1.27
% 0.92/1.27 Clauses:
% 0.92/1.27 [
% 0.92/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U,
% 0.92/1.27 'c_Option_Ooption_ONone'( T ), Z, 'tc_Option_Ooption'( T ) ),
% 0.92/1.27 'c_Map_Orestrict__map'( X, Y, Z, T ) ), hBOOL( 'c_in'( U, Y, Z ) ) ],
% 0.92/1.27 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.92/1.27 ],
% 0.92/1.27 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ofun__upd'( Y, Z, T, U, W ), W, V0, U ),
% 0.92/1.27 'c_Fun_Ofun__upd'( 'c_Fun_Ocomp'( X, Y, W, V0, U ), Z, hAPP( X, T ), U,
% 0.92/1.27 V0 ) ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.92/1.27 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.92/1.27 ), =( Y, W ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.92/1.27 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.92/1.27 , Y ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.92/1.27 , Y ) ],
% 0.92/1.27 [ =( 'c_Map_Orestrict__map'( 'c_Fun_Ofun__upd'( X, Y, Z, T,
% 0.92/1.27 'tc_Option_Ooption'( U ) ), W, T, U ), 'c_Map_Orestrict__map'( X, W, T, U
% 0.92/1.27 ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 0.92/1.27 [ =( 'c_Map_Orestrict__map'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.92/1.27 ), Y, U ), 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, T, Y, U ), Z,
% 0.92/1.27 hAPP( X, Z ), Y, 'tc_Option_Ooption'( U ) ) ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U, W, Z,
% 0.92/1.27 'tc_Option_Ooption'( T ) ), 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X
% 0.92/1.27 , 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ), U )
% 0.92/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'(
% 0.92/1.27 Z, 'tc_bool' ) ), Z, T ), U, W, Z, 'tc_Option_Ooption'( T ) ) ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U, W, Z,
% 0.92/1.27 'tc_Option_Ooption'( T ) ), 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X
% 0.92/1.27 , 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ), U )
% 0.92/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'(
% 0.92/1.27 Z, 'tc_bool' ) ), Z, T ), U, W, Z, 'tc_Option_Ooption'( T ) ) ), ~( hBOOL(
% 0.92/1.27 'c_in'( U, Y, Z ) ) ) ],
% 0.92/1.27 [ =( 'c_Map_Orestrict__map'( 'c_Fun_Ofun__upd'( X, Y, Z, T,
% 0.92/1.27 'tc_Option_Ooption'( U ) ), W, T, U ), 'c_Fun_Ofun__upd'(
% 0.92/1.27 'c_Map_Orestrict__map'( X, 'c_HOL_Ominus__class_Ominus'( W, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.27 'tc_bool' ) ) ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), Y, Z, T,
% 0.92/1.27 'tc_Option_Ooption'( U ) ) ), ~( hBOOL( 'c_in'( Y, W, T ) ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.92/1.27 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.27 , T, X ) ) ), =( Y, Z ) ],
% 0.92/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.92/1.27 , T, X ) ) ), =( Z, T ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.92/1.27 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), T ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 , T ), Y ), Z ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 , Y ), T ), Z ) ) ) ],
% 0.92/1.27 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.92/1.27 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.92/1.27 U, W ) ) ],
% 0.92/1.27 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.92/1.27 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.92/1.27 =( Y, Z ) ],
% 0.92/1.27 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.92/1.27 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.92/1.27 =( Y, Z ) ],
% 0.92/1.27 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.92/1.27 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.92/1.27 , U ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.92/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.92/1.27 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.92/1.27 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.27 [ 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.27 [ 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.92/1.27 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.92/1.27 X ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.92/1.27 X ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.92/1.27 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.92/1.27 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), Y ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.92/1.27 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.92/1.27 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.92/1.27 ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.92/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.92/1.27 ) ],
% 0.92/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.92/1.27 ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.92/1.27 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.92/1.27 , T ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.92/1.27 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.92/1.27 , T ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Z ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.92/1.27 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.92/1.27 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.92/1.27 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofun__upd'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U,
% 0.92/1.27 'c_Option_Ooption_ONone'( T ), Z, 'tc_Option_Ooption'( T ) ),
% 0.92/1.27 'c_Map_Orestrict__map'( X, 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Z ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ) ), 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), ~( hBOOL( 'c_in'(
% 0.92/1.27 U, Y, Z ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.92/1.27 U ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.92/1.27 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.92/1.27 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.92/1.27 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.92/1.27 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.92/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.92/1.27 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.92/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.92/1.27 ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.92/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.92/1.27 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.92/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.92/1.27 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.92/1.27 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.92/1.27 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.92/1.27 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( hAPP( X, Y ),
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.92/1.27 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.92/1.27 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.92/1.27 , 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y,
% 0.92/1.27 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.92/1.27 , T, X ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.92/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.27 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.92/1.27 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.27 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.92/1.27 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.92/1.27 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.92/1.27 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.92/1.27 , T ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.92/1.27 , Z ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.27 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.92/1.27 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.92/1.27 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.92/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.92/1.27 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.27 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.92/1.27 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.92/1.27 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.92/1.27 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.92/1.27 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.27 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.92/1.27 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.92/1.27 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.92/1.27 ), X ) ],
% 0.92/1.27 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 0.92/1.27 X ), Y ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.27 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.92/1.27 , =( Z, W ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.92/1.27 , =( Y, U ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.92/1.27 , =( X, T ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.92/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.92/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.27 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.27 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_Map_Orestrict__map'( X, Y, Z, T ), U ),
% 0.92/1.27 'c_Option_Ooption_ONone'( T ) ), hBOOL( 'c_in'( U, Y, Z ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.92/1.27 ) ],
% 0.92/1.27 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.92/1.27 ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.27 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.92/1.27 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.92/1.27 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), T ) ) ) ],
% 0.92/1.27 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.92/1.27 [ =( 'c_Map_Orestrict__map'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U, Z
% 0.92/1.27 , T ), 'c_Map_Orestrict__map'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 , Y ), U ), Z, T ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ),
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.92/1.27 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.92/1.27 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.92/1.27 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.92/1.27 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.92/1.27 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.92/1.27 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.27 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.27 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.92/1.27 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.92/1.27 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.92/1.27 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.92/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.92/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.92/1.27 , Z ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y )
% 0.92/1.27 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.92/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.27 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 ), hBOOL( 'c_in'( T, X, Z ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ), Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ), Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X,
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.92/1.27 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.92/1.27 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X,
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.92/1.27 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.92/1.27 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.92/1.27 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.92/1.27 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.92/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.92/1.27 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.92/1.27 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.92/1.27 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.27 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.27 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.92/1.27 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.92/1.27 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 0.92/1.27 X ) ), Z ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.92/1.27 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.92/1.27 , V3, V4, U ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.92/1.27 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.92/1.27 , V3, V4, U ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), Y ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.92/1.27 ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.92/1.27 =( X, Z ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.92/1.27 =( Y, T ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.92/1.27 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.92/1.27 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.92/1.27 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.92/1.27 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.92/1.27 Y, X ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.92/1.27 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 0.92/1.27 ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 0.92/1.27 hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 , T ), X ), Y ) ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 , X ), T ), Y ) ) ) ],
% 0.92/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 , U ), Y ), Z, T ) ) ],
% 0.92/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 , Y ), U ), Z, T ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.92/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.92/1.27 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.92/1.27 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.27 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.92/1.27 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 0.92/1.27 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.92/1.27 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.27 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__valids'( X,
% 0.92/1.27 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.92/1.27 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.27 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.92/1.27 , V2, Z, Y ) ) ],
% 0.92/1.27 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.92/1.27 , Z, V2, Y ) ) ],
% 0.92/1.27 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.27 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.92/1.27 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.27 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.27 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.27 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.92/1.27 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.92/1.27 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.92/1.27 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.92/1.27 ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), Y ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.27 ) ) ), Y ), Y ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ), X ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.27 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.92/1.27 ],
% 0.92/1.27 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.27 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.27 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ), Y, Z ) ],
% 0.92/1.27 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.92/1.27 ), X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.27 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), Z ), ~( hBOOL(
% 0.92/1.27 'c_in'( Y, Z, X ) ) ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.27 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.92/1.27 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.92/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.92/1.27 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool'
% 0.92/1.27 ) ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.92/1.27 , Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.92/1.27 , 'tc_bool' ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.27 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.92/1.27 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.92/1.27 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.92/1.27 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.92/1.27 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.92/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.27 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.92/1.27 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 0.92/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.27 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.92/1.27 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 0.92/1.27 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_Map_Orestrict__map'( X, Y, Z, T ), U ), hAPP( X, U ) ),
% 0.92/1.27 ~( hBOOL( 'c_in'( U, Y, Z ) ) ) ],
% 0.92/1.27 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.27 'c_Collect'( 'c_COMBK'( 'c_False', 'tc_bool', X ), X ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.92/1.27 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.92/1.27 'tc_bool' ) ), hAPP( T, Y ) ),
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.92/1.27 U, 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.27 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.92/1.27 , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 0.92/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.92/1.27 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.92/1.27 Z, Y, X ) ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.92/1.27 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.92/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.92/1.27 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.92/1.27 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.92/1.27 ) ],
% 0.92/1.27 [ 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.92/1.27 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.92/1.27 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.27 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.92/1.27 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.27 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.92/1.27 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.27 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.92/1.27 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.92/1.27 ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.92/1.27 ],
% 0.92/1.27 [ 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.27 [ 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.92/1.27 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.92/1.27 ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.92/1.27 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.92/1.27 ],
% 0.92/1.27 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.92/1.27 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.92/1.27 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T,
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 0.92/1.27 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.92/1.27 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y
% 0.92/1.27 ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~(
% 0.92/1.27 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y
% 0.92/1.27 , 'tc_bool' ) ), Y ) ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.92/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.92/1.27 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.92/1.27 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.27 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.27 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.92/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.27 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.92/1.27 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.27 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.27 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.92/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.92/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.92/1.27 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.92/1.27 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.92/1.27 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.92/1.27 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.92/1.27 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.92/1.27 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.92/1.27 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.92/1.27 [ 'c_lessequals'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.92/1.27 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.92/1.27 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.92/1.27 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.92/1.27 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.92/1.27 ],
% 0.92/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.92/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 0.92/1.27 'c_in'( X, Z, Y ) ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.92/1.27 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.92/1.27 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.92/1.27 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.92/1.27 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.92/1.27 , V4 ), W ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.92/1.27 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.92/1.27 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.92/1.27 U, 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.92/1.27 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.92/1.27 Z, Y ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.92/1.27 Z, Y ) ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.92/1.27 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.92/1.27 [ =( 'c_Fun_Ocomp'( hAPP( X, Y ), hAPP( X, Y ), Z, Z, Z ), hAPP( X, Y )
% 0.92/1.27 ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, Z ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.92/1.27 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.92/1.27 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.92/1.27 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.27 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.27 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.92/1.27 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.92/1.27 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.92/1.27 Y, Z, X ) ) ) ],
% 0.92/1.27 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.92/1.27 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.92/1.27 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.92/1.27 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.27 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.92/1.27 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ),
% 0.92/1.27 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 0.92/1.27 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.92/1.27 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.92/1.27 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Y ), T ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.92/1.27 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.92/1.27 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , Z ), T ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.92/1.27 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.27 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.27 ) ],
% 0.92/1.27 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_Set_Oinsert'( X ), X,
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL(
% 0.92/1.27 'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'(
% 0.92/1.27 Y, Z, X ) ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_Map_Orestrict__map'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a', Y ), 'v_x' ),
% 0.92/1.27 'c_Option_Ooption_ONone'( Y ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.92/1.27 , 'v_x' ) ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.92/1.27 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.92/1.27 X, 'v_x' ) ) ) ],
% 0.92/1.27 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.92/1.27 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.92/1.27 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.92/1.27 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.92/1.27 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X,
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.92/1.27 hAPP( X, Y ), Z ), T ) ) ],
% 0.92/1.27 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X,
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.92/1.27 hAPP( X, Y ), Z ), T ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.92/1.27 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.92/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T,
% 0.92/1.27 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.92/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 0.92/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.92/1.27 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.92/1.27 X, hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.92/1.27 , 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'(
% 0.92/1.27 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate',
% 0.92/1.27 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ),
% 0.92/1.27 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), Z, 'c_COMBK'( hAPP( T,
% 0.92/1.27 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'(
% 0.92/1.27 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 't_a' ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.27 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 0.92/1.27 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.92/1.27 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.27 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.92/1.27 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.92/1.27 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( 'c_COMBK'( 'c_False',
% 0.92/1.27 'tc_bool', 'tc_Com_Ostate' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), Y )
% 0.92/1.27 , Z, T, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 0.92/1.27 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.92/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 0.92/1.27 ), X ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y )
% 0.92/1.27 ), 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'(
% 0.92/1.27 'c_Com_Obody'( T ), 'tc_Com_Ocom' ), U, Y ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.27 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 0.92/1.27 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.92/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'( 'c_Com_Obody'(
% 0.92/1.27 T ), 'tc_Com_Ocom' ), U, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ),
% 0.92/1.27 V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.92/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.92/1.27 , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 0.92/1.27 , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 0.92/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.92/1.27 , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.27 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.92/1.27 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.92/1.27 , 'tc_bool' ) ) ) ],
% 0.92/1.27 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 0.92/1.27 ) ],
% 0.92/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 0.92/1.27 ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.27 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.92/1.27 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.92/1.27 , Y ) ],
% 0.92/1.27 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.92/1.27 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 0.92/1.27 ) ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 0.92/1.27 ), Z ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.92/1.27 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.92/1.27 ) ],
% 0.92/1.27 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.92/1.27 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.92/1.27 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.92/1.27 , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.92/1.27 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.27 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.92/1.27 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.27 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.27 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 0.92/1.27 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.27 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 0.92/1.27 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 0.92/1.27 ) ) ],
% 0.92/1.27 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 0.92/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 0.92/1.27 ,
% 0.92/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.92/1.27 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.92/1.27 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.92/1.27 ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.27 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.92/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.92/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 0.92/1.27 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.27 'tc_bool' ) ) ) ) ],
% 0.92/1.27 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.92/1.27 'c_in'( Y, Z, X ) ) ],
% 0.92/1.27 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.92/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.27 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.92/1.27 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.27 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.92/1.27 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.92/1.27 , Y ) ],
% 0.92/1.27 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.92/1.27 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.27 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.92/1.27 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.27 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.92/1.28 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.92/1.28 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 0.92/1.28 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 0.92/1.28 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.92/1.28 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.92/1.28 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.92/1.28 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.92/1.28 ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.92/1.28 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.92/1.28 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.92/1.28 ,
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.92/1.28 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 0.92/1.28 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 0.92/1.28 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.92/1.28 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.92/1.28 ,
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Y ), Z ) ) ],
% 0.92/1.28 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.92/1.28 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.92/1.28 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 0.92/1.28 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.92/1.28 ,
% 0.92/1.28 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.92/1.28 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.92/1.28 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.28 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.28 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 0.92/1.28 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.28 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.28 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 0.92/1.28 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.28 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.28 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 0.92/1.28 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.28 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.28 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 0.92/1.28 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.28 ) ), Y ) ) ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.92/1.28 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 0.92/1.28 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.92/1.28 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.92/1.28 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.28 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 0.92/1.28 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.92/1.28 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.92/1.28 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.92/1.28 ,
% 0.92/1.28 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.28 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 0.92/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.92/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.92/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ) ) ],
% 0.92/1.28 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 0.92/1.28 hBOOL( hAPP( Z, T ) ) ) ],
% 0.92/1.28 [ hBOOL( hAPP( hAPP( 'v_P', 'v_x' ), 'v_xa' ) ) ],
% 0.92/1.28 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 0.92/1.28 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.92/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( X, 'v_c', Y, 't_a' ) ),
% 0.92/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.92/1.28 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.92/1.28 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.28 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.92/1.28 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.28 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.28 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.28 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.92/1.28 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.28 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.92/1.28 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.28 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.92/1.28 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.92/1.28 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.28 'class_Orderings_Opreorder'( Y ) ) ],
% 0.92/1.28 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.28 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.28 'class_Orderings_Oorder'( Y ) ) ],
% 0.92/1.28 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.92/1.28 Y ) ) ],
% 0.92/1.28 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.92/1.28 ,
% 0.92/1.28 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.92/1.28 ,
% 0.92/1.28 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.92/1.28 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 0.92/1.28 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.92/1.28 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.92/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.92/1.28 ] .
% 0.92/1.28
% 0.92/1.28
% 0.92/1.28 percentage equality = 0.331066, percentage horn = 0.905830
% 0.92/1.28 This is a problem with some equality
% 0.92/1.28
% 0.92/1.28
% 0.92/1.28
% 0.92/1.28 Options Used:
% 0.92/1.28
% 0.92/1.28 useres = 1
% 0.92/1.28 useparamod = 1
% 0.92/1.28 useeqrefl = 1
% 0.92/1.28 useeqfact = 1
% 0.92/1.28 usefactor = 1
% 0.92/1.28 usesimpsplitting = 0
% 0.92/1.28 usesimpdemod = 5
% 0.92/1.28 usesimpres = 3
% 0.92/1.28
% 0.92/1.28 resimpinuse = 1000
% 0.92/1.28 resimpclauses = 20000
% 0.92/1.28 substype = eqrewr
% 0.92/1.28 backwardsubs = 1
% 0.92/1.28 selectoldest = 5
% 0.92/1.28
% 0.92/1.28 litorderings [0] = split
% 0.92/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.92/1.28
% 0.92/1.28 termordering = kbo
% 0.92/1.28
% 0.92/1.28 litapriori = 0
% 0.92/1.28 termapriori = 1
% 0.92/1.28 litaposteriori = 0
% 0.92/1.28 termaposteriori = 0
% 0.92/1.28 demodaposteriori = 0
% 0.92/1.28 ordereqreflfact = 0
% 0.92/1.28
% 0.92/1.28 litselect = negord
% 0.92/1.28
% 0.92/1.28 maxweight = 15
% 0.92/1.28 maxdepth = 30000
% 0.92/1.28 maxlength = 115
% 0.92/1.28 maxnrvars = 195
% 0.92/1.28 excuselevel = 1
% 0.92/1.28 increasemaxweight = 1
% 0.92/1.28
% 0.92/1.28 maxselected = 10000000
% 0.92/1.28 maxnrclauses = 10000000
% 0.92/1.28
% 0.92/1.28 showgenerated = 0
% 0.92/1.28 showkept = 0
% 0.92/1.28 showselected = 0
% 0.92/1.28 showdeleted = 0
% 0.92/1.28 showresimp = 1
% 0.92/1.28 showstatus = 2000
% 0.92/1.28
% 0.92/1.28 prologoutput = 1
% 0.92/1.28 nrgoals = 5000000
% 0.92/1.28 totalproof = 1
% 0.92/1.28
% 0.92/1.28 Symbols occurring in the translation:
% 0.92/1.28
% 0.92/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.92/1.28 . [1, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.92/1.28 ! [4, 1] (w:0, o:97, a:1, s:1, b:0),
% 0.92/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.28 'c_Map_Orestrict__map' [43, 4] (w:1, o:185, a:1, s:1, b:0),
% 0.92/1.28 'c_Option_Ooption_ONone' [45, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.92/1.28 'tc_Option_Ooption' [46, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.92/1.28 'c_Fun_Ofun__upd' [47, 5] (w:1, o:201, a:1, s:1, b:0),
% 0.92/1.28 'c_in' [48, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.92/1.28 hBOOL [49, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.92/1.28 hAPP [52, 2] (w:1, o:155, a:1, s:1, b:0),
% 0.92/1.28 'c_Fun_Ocomp' [55, 5] (w:1, o:202, a:1, s:1, b:0),
% 0.92/1.28 'c_Set_Oinsert' [62, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.92/1.28 'tc_bool' [64, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.92/1.28 'tc_fun' [65, 2] (w:1, o:156, a:1, s:1, b:0),
% 0.92/1.28 'c_Orderings_Obot__class_Obot' [66, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.92/1.28 'c_HOL_Ominus__class_Ominus' [67, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.92/1.28 'c_COMBI' [68, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.92/1.28 'c_COMBK' [70, 3] (w:1, o:175, a:1, s:1, b:0),
% 0.92/1.28 'c_Com_Ocom_OSemi' [74, 2] (w:1, o:158, a:1, s:1, b:0),
% 0.92/1.28 'c_Com_Ocom_OBODY' [76, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.92/1.28 'class_OrderedGroup_Oab__group__add' [78, 1] (w:1, o:110, a:1, s:1
% 0.92/1.28 , b:0),
% 0.92/1.28 'class_Orderings_Olinorder' [82, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.92/1.28 'c_Finite__Set_Olinorder__class_OMax' [84, 2] (w:1, o:159, a:1, s:1
% 0.92/1.28 , b:0),
% 0.92/1.28 'c_lessequals' [86, 3] (w:1, o:176, a:1, s:1, b:0),
% 0.92/1.28 'c_Finite__Set_Ofinite' [87, 2] (w:1, o:160, a:1, s:1, b:0),
% 6.01/6.41 'c_Lattices_Oupper__semilattice__class_Osup' [88, 1] (w:1, o:112, a:1
% 6.01/6.41 , s:1, b:0),
% 6.01/6.41 'class_Lattices_Oupper__semilattice' [90, 1] (w:1, o:113, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'class_Lattices_Olattice' [91, 1] (w:1, o:114, a:1, s:1, b:0),
% 6.01/6.41 'c_Lattices_Olower__semilattice__class_Oinf' [92, 1] (w:1, o:115, a:1
% 6.01/6.41 , s:1, b:0),
% 6.01/6.41 'c_Fun_Oinj__on' [93, 4] (w:1, o:186, a:1, s:1, b:0),
% 6.01/6.41 'class_Lattices_Olower__semilattice' [94, 1] (w:1, o:116, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'c_COMBC' [98, 4] (w:1, o:187, a:1, s:1, b:0),
% 6.01/6.41 'c_Complete__Lattice_Ocomplete__lattice' [104, 9] (w:1, o:206, a:1
% 6.01/6.41 , s:1, b:0),
% 6.01/6.41 'c_Com_Ocom_OSKIP' [105, 0] (w:1, o:66, a:1, s:1, b:0),
% 6.01/6.41 'c_Com_Ocom_OCond' [109, 3] (w:1, o:177, a:1, s:1, b:0),
% 6.01/6.41 'c_Collect' [110, 2] (w:1, o:157, a:1, s:1, b:0),
% 6.01/6.41 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [111, 4] (w:1
% 6.01/6.41 , o:188, a:1, s:1, b:0),
% 6.01/6.41 'class_Complete__Lattice_Ocomplete__lattice' [112, 1] (w:1, o:117, a:
% 6.01/6.41 1, s:1, b:0),
% 6.01/6.41 'c_Fun_Oid' [115, 1] (w:1, o:118, a:1, s:1, b:0),
% 6.01/6.41 'class_Lattices_Odistrib__lattice' [116, 1] (w:1, o:119, a:1, s:1, b:
% 6.01/6.41 0),
% 6.01/6.41 't_a' [117, 0] (w:1, o:68, a:1, s:1, b:0),
% 6.01/6.41 'v_x' [118, 0] (w:1, o:69, a:1, s:1, b:0),
% 6.01/6.41 'c_Finite__Set_Ofold1' [119, 3] (w:1, o:178, a:1, s:1, b:0),
% 6.01/6.41 'c_Finite__Set_Ofold1Set' [120, 3] (w:1, o:179, a:1, s:1, b:0),
% 6.01/6.41 'c_The' [121, 2] (w:1, o:162, a:1, s:1, b:0),
% 6.01/6.41 'c_Com_Ocom_OWhile' [124, 2] (w:1, o:163, a:1, s:1, b:0),
% 6.01/6.41 'c_Complete__Lattice_OInf__class_OInf' [127, 2] (w:1, o:164, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'c_Finite__Set_Ofun__left__comm__idem' [128, 3] (w:1, o:180, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'c_Complete__Lattice_OSup__class_OSup' [129, 2] (w:1, o:165, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'c_fequal' [131, 1] (w:1, o:120, a:1, s:1, b:0),
% 6.01/6.41 'class_Orderings_Oorder' [135, 1] (w:1, o:121, a:1, s:1, b:0),
% 6.01/6.41 'c_SetInterval_Oord__class_OatLeastAtMost' [136, 3] (w:1, o:181, a:1
% 6.01/6.41 , s:1, b:0),
% 6.01/6.41 'class_HOL_Ominus' [138, 1] (w:1, o:122, a:1, s:1, b:0),
% 6.01/6.41 'class_Finite__Set_Ofinite_Ofinite' [140, 1] (w:1, o:123, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'class_HOL_Oord' [141, 1] (w:1, o:124, a:1, s:1, b:0),
% 6.01/6.41 'tc_Hoare__Mirabelle_Otriple' [142, 1] (w:1, o:125, a:1, s:1, b:0),
% 6.01/6.41 'c_Not' [143, 0] (w:1, o:76, a:1, s:1, b:0),
% 6.01/6.41 'tc_Com_Ostate' [144, 0] (w:1, o:77, a:1, s:1, b:0),
% 6.01/6.41 'c_Hoare__Mirabelle_Opeek__and' [145, 3] (w:1, o:182, a:1, s:1, b:0)
% 6.01/6.41 ,
% 6.01/6.41 'c_Hoare__Mirabelle_Otriple_Otriple' [146, 4] (w:1, o:189, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'c_Hoare__Mirabelle_Ohoare__valids' [147, 3] (w:1, o:183, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'class_Lattices_Obounded__lattice' [148, 1] (w:1, o:126, a:1, s:1, b:
% 6.01/6.41 0),
% 6.01/6.41 'class_Orderings_Obot' [149, 1] (w:1, o:127, a:1, s:1, b:0),
% 6.01/6.41 'c_False' [150, 0] (w:1, o:78, a:1, s:1, b:0),
% 6.01/6.41 'c_Finite__Set_Olinorder__class_OMin' [151, 2] (w:1, o:166, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'c_Fun_Ofcomp' [152, 5] (w:1, o:203, a:1, s:1, b:0),
% 6.01/6.41 'class_Orderings_Opreorder' [155, 1] (w:1, o:128, a:1, s:1, b:0),
% 6.01/6.41 'class_OrderedGroup_Opordered__ab__group__add' [160, 1] (w:1, o:129
% 6.01/6.41 , a:1, s:1, b:0),
% 6.01/6.41 't_b' [164, 0] (w:1, o:82, a:1, s:1, b:0),
% 6.01/6.41 'c_Hoare__Mirabelle_Otriple_Otriple__case' [165, 4] (w:1, o:190, a:1
% 6.01/6.41 , s:1, b:0),
% 6.01/6.41 'c_Hoare__Mirabelle_Otriple_Otriple__rec' [168, 4] (w:1, o:191, a:1
% 6.01/6.41 , s:1, b:0),
% 6.01/6.41 'c_Hoare__Mirabelle_Ohoare__derivs' [170, 3] (w:1, o:184, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'v_sko__Hoare__Mirabelle__Xescape__2' [173, 4] (w:1, o:193, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'v_sko__Hoare__Mirabelle__Xescape__1' [174, 4] (w:1, o:192, a:1, s:1
% 6.01/6.41 , b:0),
% 6.01/6.41 'v_P' [175, 0] (w:1, o:86, a:1, s:1, b:0),
% 6.01/6.41 'c_Com_Obody' [177, 1] (w:1, o:108, a:1, s:1, b:0),
% 6.01/6.41 'tc_Com_Ocom' [178, 0] (w:1, o:88, a:1, s:1, b:0),
% 6.01/6.41 'c_Option_Othe' [179, 2] (w:1, o:168, a:1, s:1, b:0),
% 6.01/6.41 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [180, 2] (w:1, o:167, a:1
% 6.01/6.41 , s:1, b:0),
% 6.01/6.41 'c_Set_Ocontents' [181, 2] (w:1, o:161, a:1, s:1, b:0),
% 6.01/6.41 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [183, 6] (w:1
% 28.03/28.42 , o:204, a:1, s:1, b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [184, 4] (w:1
% 28.03/28.42 , o:195, a:1, s:1, b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xconseq12__3' [187, 4] (w:1, o:198, a:1, s:
% 28.03/28.42 1, b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xconseq12__2' [188, 4] (w:1, o:197, a:1, s:
% 28.03/28.42 1, b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [189, 6] (w:
% 28.03/28.42 1, o:205, a:1, s:1, b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [190, 4] (w:
% 28.03/28.42 1, o:200, a:1, s:1, b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [191, 4] (w:
% 28.03/28.42 1, o:199, a:1, s:1, b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [192, 4] (w:1
% 28.03/28.42 , o:194, a:1, s:1, b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xconseq2__1' [193, 2] (w:1, o:171, a:1, s:1
% 28.03/28.42 , b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xconseq2__2' [194, 2] (w:1, o:172, a:1, s:1
% 28.03/28.42 , b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xconseq12__1' [195, 4] (w:1, o:196, a:1, s:
% 28.03/28.42 1, b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xconseq1__1' [196, 2] (w:1, o:169, a:1, s:1
% 28.03/28.42 , b:0),
% 28.03/28.42 'v_sko__Hoare__Mirabelle__Xconseq1__2' [197, 2] (w:1, o:170, a:1, s:1
% 28.03/28.42 , b:0),
% 28.03/28.42 'v_xa' [200, 0] (w:1, o:91, a:1, s:1, b:0),
% 28.03/28.42 'v_G' [201, 0] (w:1, o:92, a:1, s:1, b:0),
% 28.03/28.42 'v_c' [202, 0] (w:1, o:93, a:1, s:1, b:0).
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Starting Search:
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 6716
% 28.03/28.42 Kept: 2185
% 28.03/28.42 Inuse: 131
% 28.03/28.42 Deleted: 3
% 28.03/28.42 Deletedinuse: 0
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 14070
% 28.03/28.42 Kept: 4191
% 28.03/28.42 Inuse: 220
% 28.03/28.42 Deleted: 4
% 28.03/28.42 Deletedinuse: 0
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 19538
% 28.03/28.42 Kept: 6231
% 28.03/28.42 Inuse: 259
% 28.03/28.42 Deleted: 7
% 28.03/28.42 Deletedinuse: 1
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 27701
% 28.03/28.42 Kept: 8234
% 28.03/28.42 Inuse: 326
% 28.03/28.42 Deleted: 11
% 28.03/28.42 Deletedinuse: 1
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 32723
% 28.03/28.42 Kept: 10296
% 28.03/28.42 Inuse: 354
% 28.03/28.42 Deleted: 13
% 28.03/28.42 Deletedinuse: 1
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 43267
% 28.03/28.42 Kept: 12876
% 28.03/28.42 Inuse: 384
% 28.03/28.42 Deleted: 13
% 28.03/28.42 Deletedinuse: 1
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 51024
% 28.03/28.42 Kept: 14890
% 28.03/28.42 Inuse: 403
% 28.03/28.42 Deleted: 13
% 28.03/28.42 Deletedinuse: 1
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 65591
% 28.03/28.42 Kept: 17427
% 28.03/28.42 Inuse: 448
% 28.03/28.42 Deleted: 14
% 28.03/28.42 Deletedinuse: 1
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 75338
% 28.03/28.42 Kept: 19438
% 28.03/28.42 Inuse: 479
% 28.03/28.42 Deleted: 14
% 28.03/28.42 Deletedinuse: 1
% 28.03/28.42
% 28.03/28.42 Resimplifying clauses:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 82864
% 28.03/28.42 Kept: 21439
% 28.03/28.42 Inuse: 511
% 28.03/28.42 Deleted: 551
% 28.03/28.42 Deletedinuse: 4
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 90178
% 28.03/28.42 Kept: 23476
% 28.03/28.42 Inuse: 538
% 28.03/28.42 Deleted: 551
% 28.03/28.42 Deletedinuse: 4
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 96820
% 28.03/28.42 Kept: 25670
% 28.03/28.42 Inuse: 557
% 28.03/28.42 Deleted: 552
% 28.03/28.42 Deletedinuse: 5
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 112585
% 28.03/28.42 Kept: 27778
% 28.03/28.42 Inuse: 598
% 28.03/28.42 Deleted: 552
% 28.03/28.42 Deletedinuse: 5
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 122966
% 28.03/28.42 Kept: 30175
% 28.03/28.42 Inuse: 604
% 28.03/28.42 Deleted: 552
% 28.03/28.42 Deletedinuse: 5
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 128754
% 28.03/28.42 Kept: 32204
% 28.03/28.42 Inuse: 618
% 28.03/28.42 Deleted: 552
% 28.03/28.42 Deletedinuse: 5
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 28.03/28.42 Generated: 142343
% 28.03/28.42 Kept: 34208
% 28.03/28.42 Inuse: 675
% 28.03/28.42 Deleted: 552
% 28.03/28.42 Deletedinuse: 5
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42 Resimplifying inuse:
% 28.03/28.42 Done
% 28.03/28.42
% 28.03/28.42
% 28.03/28.42 Intermediate Status:
% 114.23/114.66 Generated: 153665
% 114.23/114.66 Kept: 36264
% 114.23/114.66 Inuse: 717
% 114.23/114.66 Deleted: 552
% 114.23/114.66 Deletedinuse: 5
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 161205
% 114.23/114.66 Kept: 38402
% 114.23/114.66 Inuse: 737
% 114.23/114.66 Deleted: 552
% 114.23/114.66 Deletedinuse: 5
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying clauses:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 179801
% 114.23/114.66 Kept: 42276
% 114.23/114.66 Inuse: 743
% 114.23/114.66 Deleted: 650
% 114.23/114.66 Deletedinuse: 5
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 188300
% 114.23/114.66 Kept: 44408
% 114.23/114.66 Inuse: 782
% 114.23/114.66 Deleted: 650
% 114.23/114.66 Deletedinuse: 5
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 194453
% 114.23/114.66 Kept: 46572
% 114.23/114.66 Inuse: 795
% 114.23/114.66 Deleted: 650
% 114.23/114.66 Deletedinuse: 5
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 201555
% 114.23/114.66 Kept: 48625
% 114.23/114.66 Inuse: 822
% 114.23/114.66 Deleted: 651
% 114.23/114.66 Deletedinuse: 5
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 209288
% 114.23/114.66 Kept: 51107
% 114.23/114.66 Inuse: 827
% 114.23/114.66 Deleted: 739
% 114.23/114.66 Deletedinuse: 93
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 218462
% 114.23/114.66 Kept: 53190
% 114.23/114.66 Inuse: 837
% 114.23/114.66 Deleted: 739
% 114.23/114.66 Deletedinuse: 93
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 227993
% 114.23/114.66 Kept: 56385
% 114.23/114.66 Inuse: 848
% 114.23/114.66 Deleted: 739
% 114.23/114.66 Deletedinuse: 93
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 239417
% 114.23/114.66 Kept: 58466
% 114.23/114.66 Inuse: 886
% 114.23/114.66 Deleted: 739
% 114.23/114.66 Deletedinuse: 93
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 251684
% 114.23/114.66 Kept: 60700
% 114.23/114.66 Inuse: 901
% 114.23/114.66 Deleted: 740
% 114.23/114.66 Deletedinuse: 93
% 114.23/114.66
% 114.23/114.66 Resimplifying clauses:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 264332
% 114.23/114.66 Kept: 63309
% 114.23/114.66 Inuse: 921
% 114.23/114.66 Deleted: 6063
% 114.23/114.66 Deletedinuse: 93
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 274486
% 114.23/114.66 Kept: 65334
% 114.23/114.66 Inuse: 932
% 114.23/114.66 Deleted: 6063
% 114.23/114.66 Deletedinuse: 93
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 287067
% 114.23/114.66 Kept: 67512
% 114.23/114.66 Inuse: 961
% 114.23/114.66 Deleted: 6063
% 114.23/114.66 Deletedinuse: 93
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 297752
% 114.23/114.66 Kept: 69629
% 114.23/114.66 Inuse: 996
% 114.23/114.66 Deleted: 6065
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 306150
% 114.23/114.66 Kept: 71642
% 114.23/114.66 Inuse: 1018
% 114.23/114.66 Deleted: 6065
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 313854
% 114.23/114.66 Kept: 73662
% 114.23/114.66 Inuse: 1039
% 114.23/114.66 Deleted: 6065
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 331599
% 114.23/114.66 Kept: 77169
% 114.23/114.66 Inuse: 1051
% 114.23/114.66 Deleted: 6065
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 343024
% 114.23/114.66 Kept: 79391
% 114.23/114.66 Inuse: 1080
% 114.23/114.66 Deleted: 6065
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying clauses:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 355318
% 114.23/114.66 Kept: 81601
% 114.23/114.66 Inuse: 1120
% 114.23/114.66 Deleted: 6218
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 367465
% 114.23/114.66 Kept: 83845
% 114.23/114.66 Inuse: 1145
% 114.23/114.66 Deleted: 6218
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 380613
% 114.23/114.66 Kept: 86092
% 114.23/114.66 Inuse: 1190
% 114.23/114.66 Deleted: 6218
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 394874
% 114.23/114.66 Kept: 88227
% 114.23/114.66 Inuse: 1215
% 114.23/114.66 Deleted: 6218
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 407735
% 114.23/114.66 Kept: 90365
% 114.23/114.66 Inuse: 1245
% 114.23/114.66 Deleted: 6218
% 114.23/114.66 Deletedinuse: 94
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66 Resimplifying inuse:
% 114.23/114.66 Done
% 114.23/114.66
% 114.23/114.66
% 114.23/114.66 Intermediate Status:
% 114.23/114.66 Generated: 418180
% 114.23/114.66 KepCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------