TSTP Solution File: SWV898-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV898-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 16:29:06 EDT 2022
% Result : Unsatisfiable 41.48s 41.86s
% Output : Refutation 41.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV898-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 07:22:09 EDT 2022
% 0.13/0.36 % CPUTime :
% 1.00/1.39 *** allocated 10000 integers for termspace/termends
% 1.00/1.39 *** allocated 10000 integers for clauses
% 1.00/1.39 *** allocated 10000 integers for justifications
% 1.00/1.39 *** allocated 15000 integers for termspace/termends
% 1.00/1.39 Bliksem 1.12
% 1.00/1.39
% 1.00/1.39
% 1.00/1.39 Automatic Strategy Selection
% 1.00/1.39
% 1.00/1.39 Clauses:
% 1.00/1.39 [
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.00/1.39 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 1.00/1.39 Y, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 1.00/1.39 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 1.00/1.39 Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), X ) ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =(
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U, T )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.00/1.39 ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~( 'c_in'( Y, T, U ) ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 1.00/1.39 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 1.00/1.39 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 1.00/1.39 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.39 , T, X ) ) ), =( Z, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.00/1.39 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.00/1.39 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 1.00/1.39 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 1.00/1.39 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 1.00/1.39 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 1.00/1.39 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 1.00/1.39 Y, Z, X ) ) ],
% 1.00/1.39 [ 'c_in'( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), X, Z
% 1.00/1.39 ), ~( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 1.00/1.39 [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP(
% 1.00/1.39 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~(
% 1.00/1.39 'c_in'( W, 'c_Set_Oimage'( Y, X, Z, T ), T ) ), ~( 'c_in'( U,
% 1.00/1.39 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 'c_in'( hAPP(
% 1.00/1.39 X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 1.00/1.39 [ =( 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_Fun_Oid'( X ), X, X ), 'c_Fun_Oid'( X ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.00/1.39 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 1.00/1.39 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 1.00/1.39 [ =( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), Y
% 1.00/1.39 , Z, Z ), 'c_Fun_Oid'( Z ) ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ],
% 1.00/1.39 [ ~( =( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), Y
% 1.00/1.39 , Z, Z ), 'c_Fun_Oid'( Z ) ) ), 'c_Fun_Osurj'( X, Y, Z ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.00/1.39 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.39 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , X ) ],
% 1.00/1.39 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 1.00/1.39 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.00/1.39 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 1.00/1.39 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 1.00/1.39 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.39 ), Z ), 'c_in'( X, Y, Z ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.00/1.39 ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, 'c_Fun_Ocomp'( Y, Z, T, U
% 1.00/1.39 , W ), W, U ), V0 ), hAPP( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 X, Z, W, T ), 'c_Hilbert__Choice_Oinv__into'( 'c_Set_Oimage'( Z, X, W, T
% 1.00/1.39 ), Y, T, U ), T, W, U ), V0 ) ), ~( 'c_in'( V0, 'c_Set_Oimage'( Y,
% 1.00/1.39 'c_Set_Oimage'( Z, X, W, T ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( Z, X, W
% 1.00/1.39 , T ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oimage'( Z, X, W, T ), T, U ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Oimage'( X
% 1.00/1.39 , Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ 'c_Fun_Obij'( 'c_Fun_Oid'( X ), X, X ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 1.00/1.39 ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Y, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( T, hAPP( Y, T ), 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.39 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 1.00/1.39 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), T
% 1.00/1.39 ) ), T ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ],
% 1.00/1.39 [ 'c_Fun_Obij'( X, Y, Z ), ~( 'c_Fun_Osurj'( X, Y, Z ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ) ) ],
% 1.00/1.39 [ 'c_Fun_Obij'( X, Y, Z ), ~( 'c_Fun_Osurj'( X, Y, Z ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.00/1.39 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T, U ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 1.00/1.39 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 1.00/1.39 , T ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 1.00/1.39 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 1.00/1.39 , T ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 1.00/1.39 , Z ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.00/1.39 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.00/1.39 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.00/1.39 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 1.00/1.39 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.39 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.39 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 1.00/1.39 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 1.00/1.39 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Oimage'(
% 1.00/1.39 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), X, Z, T ), Y, T, Z ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_Fun_Obij__betw'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, X
% 1.00/1.39 , T, Z ), ~( 'c_Fun_Obij__betw'( Y, X, U, Z, T ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, T ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Set_Ovimage'( Z, X, T, Y ), T ) ), ~( 'c_Fun_Obij'( Z, T, Y ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 1.00/1.39 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 1.00/1.39 , Z, U ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 1.00/1.39 , Z, U ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 1.00/1.39 , Z, U ) ) ],
% 1.00/1.39 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 1.00/1.39 T ), U ) ) ],
% 1.00/1.39 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 1.00/1.39 T ), U ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ), X ), X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 1.00/1.39 , =( X, Y ) ],
% 1.00/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ), X ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.00/1.39 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.00/1.39 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_Fun_Osurj'( 'c_Fun_Oid'( X ), X, X ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ), X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.00/1.39 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 1.00/1.39 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'(
% 1.00/1.39 Y, Z, T ), T, U ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.00/1.39 'c_in'( X, T, Z ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Y ), ~( 'c_Fun_Osurj'( X, Y, Y ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ],
% 1.00/1.39 [ 'c_Fun_Osurj'( X, Y, Y ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Y ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.39 ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, X ), ~(
% 1.00/1.39 'c_Fun_Osurj'( Y, X, Z ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 1.00/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 1.00/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Obij__betw'( X, Y, U, Z, T )
% 1.00/1.39 ) ],
% 1.00/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.39 ), Y ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.39 ), Y ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.39 ), Y ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.39 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.00/1.39 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 1.00/1.39 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 1.00/1.39 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.39 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.39 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP(
% 1.00/1.39 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ), X,
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'c_Set_Oinsert'( hAPP(
% 1.00/1.39 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 1.00/1.39 'c_Com_Obody', Y ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 1.00/1.39 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 1.00/1.39 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ) ) ],
% 1.00/1.39 [ 'c_Fun_Obij'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), ~( 'c_Fun_Obij'(
% 1.00/1.39 X, Z, T ) ), ~( 'c_Fun_Obij'( Y, U, Z ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 1.00/1.39 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ), ~( 'c_Fun_Obij'( X, Y, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.00/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 1.00/1.39 T ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.00/1.39 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ 'c_Fun_Osurj'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), ~(
% 1.00/1.39 'c_Fun_Osurj'( X, Z, T ) ), ~( 'c_Fun_Osurj'( Y, U, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.00/1.39 [ 'c_Map_Omap__le'( X, X, Y, Z ) ],
% 1.00/1.39 [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U, Y, Z, T ) ),
% 1.00/1.39 ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.00/1.39 X, T ), Y ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.00/1.39 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.00/1.39 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), hAPP( Y, U ) )
% 1.00/1.39 , U ), ~( 'c_in'( U, X, Z ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 1.00/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_Fun_Oinj__on'( T, Y, Z, U ) ), =( hAPP(
% 1.00/1.39 'c_Hilbert__Choice_Oinv__into'( Y, T, Z, U ), hAPP( T, X ) ), X ) ],
% 1.00/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Osurj'( Z, T, Y ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( Z, X, T, Y ), T ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_in'( Z,
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.39 Y, X ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 1.00/1.39 'c_Fun_Obij__betw'( U, X, Z, Y, T ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 1.00/1.39 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 1.00/1.39 ~( 'c_Com_OWT'( Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.00/1.39 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP(
% 1.00/1.39 'c_Com_Ocom_OBODY', 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.39 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.39 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), T
% 1.00/1.39 , Z, Y ), Y, Z ), T ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ],
% 1.00/1.39 [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( 'c_in'( Y, 'c_Map_Odom'( X, T, U )
% 1.00/1.39 , T ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ],
% 1.00/1.39 [ =( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Y
% 1.00/1.39 , Z, X, X ), 'c_Fun_Oid'( X ) ), ~( 'c_Fun_Oinj__on'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( =( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Y
% 1.00/1.39 , Z, X, X ), 'c_Fun_Oid'( X ) ) ), 'c_Fun_Oinj__on'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.00/1.39 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 1.00/1.39 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T, U ) ) ],
% 1.00/1.39 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Y ) ],
% 1.00/1.39 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 1.00/1.39 ) ) ), =( X, Z ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), 'c_in'( Y,
% 1.00/1.39 'c_Map_Odom'( X, U, T ), U ) ],
% 1.00/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 1.00/1.39 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z, U
% 1.00/1.39 ), U ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 1.00/1.39 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 1.00/1.39 , Z, T ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 1.00/1.39 'c_Fun_Osurj'( X, Z, T ) ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.00/1.39 Y, Z ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.00/1.39 'c_Finite__Set_Ocard'( X, Z ) ), 'c_in'( Y, X, Z ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 1.00/1.39 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), 'c_Fun_Obij__betw'( X, Y,
% 1.00/1.39 'c_Set_Oimage'( X, Y, Z, T ), Z, T ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.00/1.39 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 1.00/1.39 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 1.00/1.39 Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.39 [ =( 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_Fun_Ocomp'( Y, Z, T, U, X ), X, U ),
% 1.00/1.39 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Z, X, T ),
% 1.00/1.39 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Y, T, U ), T, X, U ) ), ~( 'c_Fun_Obij'( Z, X, T ) ),
% 1.00/1.39 ~( 'c_Fun_Obij'( Y, T, U ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 1.00/1.39 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_in'( Y,
% 1.00/1.39 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 1.00/1.39 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ), ~( 'c_lessequals'( Y, Z
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), Y ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Osurj'( X, Y, Z ), ~( 'c_Fun_Obij'( X, Y, Z ) ) ],
% 1.00/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 T, X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.00/1.39 Y, X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.00/1.39 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 T, X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.00/1.39 Y, X ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X ), X ), ~(
% 1.00/1.39 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.00/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.00/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.00/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.00/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.39 , X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.00/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 T, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.00/1.39 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 T, Z, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.39 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.39 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 'c_in'( Y, Z, X )
% 1.00/1.39 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( 'c_in'( Z, Y, X
% 1.00/1.39 ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.00/1.39 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.00/1.39 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 1.00/1.39 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.00/1.39 ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 1.00/1.39 ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ),
% 1.00/1.39 'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 1.00/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.00/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 1.00/1.39 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 1.00/1.39 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 ), ~( 'c_in'( X, T, Z ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.00/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.00/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.00/1.39 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 1.00/1.39 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 1.00/1.39 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 1.00/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 1.00/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 1.00/1.39 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.00/1.39 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 1.00/1.39 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Set_Ovimage'( Y, X, T, U ), Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Osurj'( Y, T, U ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_in'( hAPP( X,
% 1.00/1.39 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ) ), U, T
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.39 ), Y ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( U, Y, Z, T ) ),
% 1.00/1.39 'c_in'( 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, U, Z, T ), Y
% 1.00/1.39 , Z ) ],
% 1.00/1.39 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 1.00/1.39 , Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 1.00/1.39 Z ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ],
% 1.00/1.39 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 1.00/1.39 Z, T, Y ) ) ],
% 1.00/1.39 [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~( 'c_Map_Omap__le'( X
% 1.00/1.39 , Y, Z, T ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ 'c_Fun_Obij__betw'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, V0, U, T ), ~(
% 1.00/1.39 'c_Fun_Obij__betw'( X, V1, V0, Z, T ) ), ~( 'c_Fun_Obij__betw'( Y, W, V1
% 1.00/1.39 , U, Z ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_in'( X, Y, Z ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 1.00/1.39 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.00/1.39 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.00/1.39 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 1.00/1.39 , U ), ~( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ],
% 1.00/1.39 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.00/1.39 ), Y ) ) ],
% 1.00/1.39 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.00/1.39 ), Y ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.00/1.39 ), Y ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.00/1.39 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.00/1.39 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 1.00/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), U, T ), U ) ) ],
% 1.00/1.39 [ =( 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, X ), X
% 1.00/1.39 , Y ), Z ), ~( 'c_Fun_Obij'( Z, Y, X ) ) ],
% 1.00/1.39 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 1.00/1.39 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 1.00/1.39 , T, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 1.00/1.39 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Osurj'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 1.00/1.39 , X ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), X, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), T ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 1.00/1.39 , Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.00/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ), =( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.00/1.39 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ),
% 1.00/1.39 hAPP( X, T ) ), T ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 1.00/1.39 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ), =( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 1.00/1.39 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 1.00/1.39 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 1.00/1.39 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 1.00/1.39 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 1.00/1.39 , V4 ), W ) ) ],
% 1.00/1.39 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 1.00/1.39 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 1.00/1.39 Y, X ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.00/1.39 X, T, U ), Z ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.00/1.39 hAPP( X, U ) ) ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.39 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 1.00/1.39 , T ) ) ],
% 1.00/1.39 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 1.00/1.39 , T ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.00/1.39 hAPP( X, T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.39 , X ), X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ 'c_Fun_Obij'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 1.00/1.39 , X ), ~( 'c_Fun_Obij'( Y, X, Z ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, T ), Y
% 1.00/1.39 , U, T ), Z, T, U, Y ), X ), ~( 'c_Fun_Oinj__on'( Z,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_in'( hAPP( X, Y ), 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z
% 1.00/1.39 , 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_lessequals'( 'c_Set_Oimage'( X,
% 1.00/1.39 U, W, T ), hAPP( Z, 'c_Set_Oimage'( X, U, W, T ) ), 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_in'( Y, U, W ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'c_in'(
% 1.00/1.39 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ), Y
% 1.00/1.39 , Z ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T,
% 1.00/1.39 Z ), ~( 'c_lessequals'( U, 'c_Set_Oimage'( Y, X, Z, T ), 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Set_Ovimage'( Y, X, T, U ), Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Obij'( Y, T, U ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Oimage'( X, Y,
% 1.00/1.39 Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oimage'( X,
% 1.00/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_Fun_Osurj'( X, Z, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.00/1.39 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.00/1.39 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 1.00/1.39 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 1.00/1.39 , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ),
% 1.00/1.39 'c_Set_Oimage'( Y, U, Z, T ), T, Z ), U ), ~( 'c_lessequals'( U, X,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_in'( hAPP( X,
% 1.00/1.39 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ) ),
% 1.00/1.39 U, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), 'c_in'( 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'(
% 1.00/1.39 Y, U, X, Z, T ), Y, Z ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.00/1.39 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 1.00/1.39 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, Z
% 1.00/1.39 , T, U ) ), hAPP( Z, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X
% 1.00/1.39 , Z, T, U ) ) ) ), =( 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( Z, Y
% 1.00/1.39 , T, U ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 1.00/1.39 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, Y, Z, T ), U ), ~( 'c_Fun_Obij__betw'( X, Y, U,
% 1.00/1.39 Z, T ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.00/1.39 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.00/1.39 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 1.00/1.39 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 1.00/1.39 , U ), U ) ],
% 1.00/1.39 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 1.00/1.39 , U ), U ) ],
% 1.00/1.39 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 1.00/1.39 , Z, T ) ) ],
% 1.00/1.39 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 1.00/1.39 , Z, T ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 1.00/1.39 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 1.00/1.39 ~( 'c_Com_OWT'( Y ) ), 'c_in'( 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'(
% 1.00/1.39 X ), 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 1.00/1.39 'tc_Com_Opname' ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.39 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.39 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~( 'c_Com_OWT'( X ) ), ~(
% 1.00/1.39 'c_Com_OWT__bodies' ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z ), ~(
% 1.00/1.39 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 1.00/1.39 'c_Com_Obody', X ) ), Y, Z ) ) ],
% 1.00/1.39 [ 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 1.00/1.39 'c_Com_Obody', X ) ), Y, Z ), ~( 'c_Natural_Oevalc'( hAPP(
% 1.00/1.39 'c_Com_Ocom_OBODY', X ), Y, Z ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Option_Othe'( X ), 'c_Option_Ooption_OSome'( Y, X ) ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'( Y,
% 1.00/1.39 'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ],
% 1.00/1.39 [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 1.00/1.39 ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 1.00/1.39 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T,
% 1.00/1.39 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 1.00/1.39 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 1.00/1.39 ~( 'c_lessequals'( hAPP( Y,
% 1.00/1.39 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 1.00/1.39 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 1.00/1.39 ~( 'c_lessequals'( hAPP( Y,
% 1.00/1.39 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 1.00/1.39 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 1.00/1.39 ) ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.39 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.39 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 1.00/1.39 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.00/1.39 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 1.00/1.39 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'(
% 1.00/1.39 X, Y, Z, T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 1.00/1.39 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 1.00/1.39 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 1.00/1.39 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.00/1.39 [ =( X, 'c_Set_Oimage'( Y,
% 1.00/1.39 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( Z, X, Y, T, U ), T
% 1.00/1.39 , U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U
% 1.00/1.39 , 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Map_Omap__of'( X, Y, Z ), Y
% 1.00/1.39 , Z ), Y ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Map_Odom'( X, Y, Z ), 'c_Map_Odom'( T, Y, Z ),
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_Map_Omap__le'( X, T, Y, Z ) ) ],
% 1.00/1.39 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBB'(
% 1.00/1.39 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 1.00/1.39 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.00/1.39 'tc_Com_Ostate' ), ~( 'c_Finite__Set_Ofinite'( Y, 'tc_Com_Opname' ) ),
% 1.00/1.39 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 1.00/1.39 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 1.00/1.39 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.00/1.39 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Oimage'( 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'(
% 1.00/1.39 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'(
% 1.00/1.39 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom',
% 1.00/1.39 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 1.00/1.39 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.00/1.39 'tc_Com_Ostate' ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 1.00/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), T ),
% 1.00/1.40 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y,
% 1.00/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 1.00/1.40 ],
% 1.00/1.40 [ 'c_lessequals'(
% 1.00/1.40 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 1.00/1.40 , T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 1.00/1.40 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.00/1.40 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 1.00/1.40 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 1.00/1.40 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 1.00/1.40 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.40 [ 'c_Finite__Set_Ofinite'(
% 1.00/1.40 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 1.00/1.40 , T, U ), T ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X, T, U ),
% 1.00/1.40 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 1.00/1.40 [ =( X, 'c_Set_Oimage'( Y,
% 1.00/1.40 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 1.00/1.40 , T, U ), T, U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ),
% 1.00/1.40 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, U ) ) ],
% 1.00/1.40 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 1.00/1.40 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.00/1.40 , Z ) ) ],
% 1.00/1.40 [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 1.00/1.40 , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.40 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.40 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 1.00/1.40 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.00/1.40 'tc_bool' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.00/1.40 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.00/1.40 'tc_bool' ) ) ) ],
% 1.00/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 1.00/1.40 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.00/1.40 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 1.00/1.40 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.00/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.00/1.40 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 1.00/1.40 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 1.00/1.40 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 1.00/1.40 'tc_bool' ) ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.40 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.40 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.40 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.40 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.00/1.40 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.00/1.40 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 1.00/1.40 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.40 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.40 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.00/1.40 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.40 [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 1.00/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 1.00/1.40 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 1.00/1.40 , U ) ) ],
% 1.00/1.40 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.00/1.40 Y, X ) ],
% 1.00/1.40 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 1.00/1.40 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 1.00/1.40 [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 1.00/1.40 [ 'c_Com_OWT__bodies' ],
% 1.00/1.40 [ 'c_lessequals'( 'v_F', 'c_Set_Oimage'( 'c_COMBB'(
% 1.00/1.40 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 1.00/1.40 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 1.00/1.40 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.40 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 1.00/1.40 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 1.00/1.40 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_fun'(
% 1.00/1.40 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ],
% 1.00/1.40 [ ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'(
% 1.00/1.40 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 1.00/1.40 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 1.00/1.40 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.40 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 1.00/1.40 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 1.00/1.40 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.00/1.40 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ],
% 1.00/1.40 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.00/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.00/1.40 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.00/1.40 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.00/1.40 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.00/1.40 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.00/1.40 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Orderings_Opreorder'( Y ) ) ],
% 1.00/1.40 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.40 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.40 'class_Orderings_Oorder'( Y ) ) ],
% 1.00/1.40 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.00/1.40 Y ) ) ],
% 1.00/1.40 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.00/1.40 Y ) ) ],
% 1.00/1.40 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 1.00/1.40 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.00/1.40 [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 1.00/1.40 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.00/1.40 ,
% 1.00/1.40 [ 'c_fequal'( X, X, Y ) ],
% 1.00/1.40 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.00/1.40 ] .
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 percentage equality = 0.287014, percentage horn = 0.938918
% 1.00/1.40 This is a problem with some equality
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 Options Used:
% 1.00/1.40
% 1.00/1.40 useres = 1
% 1.00/1.40 useparamod = 1
% 1.00/1.40 useeqrefl = 1
% 1.00/1.40 useeqfact = 1
% 1.00/1.40 usefactor = 1
% 1.00/1.40 usesimpsplitting = 0
% 1.00/1.40 usesimpdemod = 5
% 1.00/1.40 usesimpres = 3
% 1.00/1.40
% 1.00/1.40 resimpinuse = 1000
% 1.00/1.40 resimpclauses = 20000
% 1.00/1.40 substype = eqrewr
% 1.00/1.40 backwardsubs = 1
% 1.00/1.40 selectoldest = 5
% 1.00/1.40
% 1.00/1.40 litorderings [0] = split
% 1.00/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.40
% 1.00/1.40 termordering = kbo
% 1.00/1.40
% 1.00/1.40 litapriori = 0
% 1.00/1.40 termapriori = 1
% 1.00/1.40 litaposteriori = 0
% 1.00/1.40 termaposteriori = 0
% 1.00/1.40 demodaposteriori = 0
% 1.00/1.40 ordereqreflfact = 0
% 1.00/1.40
% 1.00/1.40 litselect = negord
% 1.00/1.40
% 1.00/1.40 maxweight = 15
% 1.00/1.40 maxdepth = 30000
% 1.00/1.40 maxlength = 115
% 1.00/1.40 maxnrvars = 195
% 1.00/1.40 excuselevel = 1
% 1.00/1.40 increasemaxweight = 1
% 1.00/1.40
% 1.00/1.40 maxselected = 10000000
% 1.00/1.40 maxnrclauses = 10000000
% 1.00/1.40
% 1.00/1.40 showgenerated = 0
% 1.00/1.40 showkept = 0
% 1.00/1.40 showselected = 0
% 1.00/1.40 showdeleted = 0
% 1.00/1.40 showresimp = 1
% 1.00/1.40 showstatus = 2000
% 1.00/1.40
% 1.00/1.40 prologoutput = 1
% 1.00/1.40 nrgoals = 5000000
% 1.00/1.40 totalproof = 1
% 1.00/1.40
% 1.00/1.40 Symbols occurring in the translation:
% 1.00/1.40
% 1.00/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.40 . [1, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.00/1.40 ! [4, 1] (w:0, o:82, a:1, s:1, b:0),
% 1.00/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.40 'tc_bool' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.00/1.40 'tc_fun' [43, 2] (w:1, o:141, a:1, s:1, b:0),
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf' [44, 3] (w:1, o:154, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 'c_Lattices_Oupper__semilattice__class_Osup' [46, 3] (w:1, o:155, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 'class_Orderings_Oorder' [47, 1] (w:1, o:87, a:1, s:1, b:0),
% 4.08/4.44 'c_SetInterval_Oord__class_OatLeastAtMost' [49, 3] (w:1, o:156, a:1
% 4.08/4.44 , s:1, b:0),
% 4.08/4.44 'c_Orderings_Obot__class_Obot' [50, 1] (w:1, o:88, a:1, s:1, b:0),
% 4.08/4.44 'c_Set_Oinsert' [51, 3] (w:1, o:157, a:1, s:1, b:0),
% 4.08/4.44 'class_Lattices_Oboolean__algebra' [53, 1] (w:1, o:89, a:1, s:1, b:0)
% 4.08/4.44 ,
% 4.08/4.44 'c_Orderings_Otop__class_Otop' [56, 1] (w:1, o:90, a:1, s:1, b:0),
% 4.08/4.44 'c_HOL_Ouminus__class_Ouminus' [57, 2] (w:1, o:142, a:1, s:1, b:0),
% 4.08/4.44 'c_HOL_Ominus__class_Ominus' [58, 3] (w:1, o:158, a:1, s:1, b:0),
% 4.08/4.44 'class_Orderings_Olinorder' [59, 1] (w:1, o:91, a:1, s:1, b:0),
% 4.08/4.44 'c_SetInterval_Oord__class_OlessThan' [61, 2] (w:1, o:143, a:1, s:1
% 4.08/4.44 , b:0),
% 4.08/4.44 'c_SetInterval_Oord__class_OatLeast' [62, 2] (w:1, o:144, a:1, s:1
% 4.08/4.44 , b:0),
% 4.08/4.44 'class_Lattices_Olattice' [63, 1] (w:1, o:92, a:1, s:1, b:0),
% 4.08/4.44 'c_lessequals' [65, 3] (w:1, o:159, a:1, s:1, b:0),
% 4.08/4.44 'class_Lattices_Olower__semilattice' [66, 1] (w:1, o:93, a:1, s:1, b:
% 4.08/4.44 0),
% 4.08/4.44 'c_SetInterval_Oord__class_OatMost' [68, 2] (w:1, o:145, a:1, s:1, b:
% 4.08/4.44 0),
% 4.08/4.44 hAPP [70, 2] (w:1, o:146, a:1, s:1, b:0),
% 4.08/4.44 'c_Option_Ooption_OSome' [71, 2] (w:1, o:147, a:1, s:1, b:0),
% 4.08/4.44 'c_Map_Odom' [73, 3] (w:1, o:160, a:1, s:1, b:0),
% 4.08/4.44 'c_Fun_Oinj__on' [74, 4] (w:1, o:169, a:1, s:1, b:0),
% 4.08/4.44 'c_in' [75, 3] (w:1, o:161, a:1, s:1, b:0),
% 4.08/4.44 'class_Lattices_Oupper__semilattice' [78, 1] (w:1, o:94, a:1, s:1, b:
% 4.08/4.44 0),
% 4.08/4.44 'c_Finite__Set_Olinorder__class_OMax' [79, 2] (w:1, o:148, a:1, s:1
% 4.08/4.44 , b:0),
% 4.08/4.44 'class_OrderedGroup_Oab__group__add' [80, 1] (w:1, o:95, a:1, s:1, b:
% 4.08/4.44 0),
% 4.08/4.44 'c_Set_Oimage' [83, 4] (w:1, o:170, a:1, s:1, b:0),
% 4.08/4.44 'c_COMBI' [84, 1] (w:1, o:96, a:1, s:1, b:0),
% 4.08/4.44 hBOOL [87, 1] (w:1, o:97, a:1, s:1, b:0),
% 4.08/4.44 'c_SetInterval_Oord__class_OgreaterThan' [90, 2] (w:1, o:149, a:1, s:
% 4.08/4.44 1, b:0),
% 4.08/4.44 'c_Hilbert__Choice_Oinv__into' [91, 4] (w:1, o:171, a:1, s:1, b:0),
% 4.08/4.44 'c_Fun_Oid' [92, 1] (w:1, o:98, a:1, s:1, b:0),
% 4.08/4.44 'c_Set_Ovimage' [95, 4] (w:1, o:172, a:1, s:1, b:0),
% 4.08/4.44 'c_Finite__Set_Ofinite' [96, 2] (w:1, o:150, a:1, s:1, b:0),
% 4.08/4.44 'c_Fun_Ocomp' [98, 5] (w:1, o:177, a:1, s:1, b:0),
% 4.08/4.44 'c_Fun_Osurj' [99, 3] (w:1, o:162, a:1, s:1, b:0),
% 4.08/4.44 'class_Lattices_Odistrib__lattice' [100, 1] (w:1, o:99, a:1, s:1, b:0
% 4.08/4.44 ),
% 4.08/4.44 'c_SetInterval_Oord__class_OatLeastLessThan' [102, 3] (w:1, o:163, a:
% 4.08/4.44 1, s:1, b:0),
% 4.08/4.44 'c_Fun_Obij' [104, 3] (w:1, o:164, a:1, s:1, b:0),
% 4.08/4.44 'c_Inductive_Ocomplete__lattice__class_Ogfp' [105, 2] (w:1, o:151, a:
% 4.08/4.44 1, s:1, b:0),
% 4.08/4.44 'tc_Hoare__Mirabelle_Otriple' [109, 1] (w:1, o:100, a:1, s:1, b:0),
% 4.08/4.44 'c_Hoare__Mirabelle_Ohoare__derivs' [110, 3] (w:1, o:165, a:1, s:1
% 4.08/4.44 , b:0),
% 4.08/4.44 'class_Lattices_Obounded__lattice' [112, 1] (w:1, o:101, a:1, s:1, b:
% 4.08/4.44 0),
% 4.08/4.44 'c_Finite__Set_Ocard' [114, 2] (w:1, o:152, a:1, s:1, b:0),
% 4.08/4.44 'c_Fun_Obij__betw' [115, 5] (w:1, o:176, a:1, s:1, b:0),
% 4.08/4.44 'class_OrderedGroup_Olordered__ab__group__add' [116, 1] (w:1, o:102
% 4.08/4.44 , a:1, s:1, b:0),
% 4.08/4.44 'c_Com_Ocom_OBODY' [117, 0] (w:1, o:57, a:1, s:1, b:0),
% 4.08/4.44 'class_OrderedGroup_Ogroup__add' [120, 1] (w:1, o:103, a:1, s:1, b:0)
% 4.08/4.44 ,
% 4.08/4.44 'c_Hoare__Mirabelle_OMGT' [121, 0] (w:1, o:60, a:1, s:1, b:0),
% 4.08/4.44 'tc_Com_Ostate' [123, 0] (w:1, o:62, a:1, s:1, b:0),
% 4.08/4.44 'tc_Com_Ocom' [124, 0] (w:1, o:63, a:1, s:1, b:0),
% 4.08/4.44 'c_Option_Othe' [125, 1] (w:1, o:104, a:1, s:1, b:0),
% 4.08/4.44 'c_Com_Obody' [126, 0] (w:1, o:56, a:1, s:1, b:0),
% 4.08/4.44 'class_OrderedGroup_Opordered__ab__group__add' [127, 1] (w:1, o:105
% 4.08/4.44 , a:1, s:1, b:0),
% 4.08/4.44 'c_Map_Omap__le' [129, 4] (w:1, o:173, a:1, s:1, b:0),
% 4.08/4.44 'class_HOL_Oord' [133, 1] (w:1, o:106, a:1, s:1, b:0),
% 4.08/4.44 'c_Com_OWT' [135, 1] (w:1, o:107, a:1, s:1, b:0),
% 4.08/4.44 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1' [136, 1] (w:1, o:108, a:1
% 4.08/4.44 , s:1, b:0),
% 4.08/4.44 'c_Hoare__Mirabelle_Ostate__not__singleton' [137, 0] (w:1, o:65, a:1
% 4.08/4.44 , s:1, b:0),
% 4.08/4.44 'c_Finite__Set_Olinorder__class_OMin' [142, 2] (w:1, o:153, a:1, s:1
% 4.08/4.44 , b:0),
% 4.08/4.44 'class_Complete__Lattice_Ocomplete__lattice' [143, 1] (w:1, o:109, a:
% 20.86/21.23 1, s:1, b:0),
% 20.86/21.23 'class_Orderings_Otop' [144, 1] (w:1, o:110, a:1, s:1, b:0),
% 20.86/21.23 'class_Orderings_Obot' [145, 1] (w:1, o:111, a:1, s:1, b:0),
% 20.86/21.23 'class_Finite__Set_Ofinite_Ofinite' [146, 1] (w:1, o:112, a:1, s:1
% 20.86/21.23 , b:0),
% 20.86/21.23 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1' [148, 5] (w:1, o:178
% 20.86/21.23 , a:1, s:1, b:0),
% 20.86/21.23 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1' [149, 5] (w:1, o:179
% 20.86/21.23 , a:1, s:1, b:0),
% 20.86/21.23 'c_Natural_Oevalc' [151, 3] (w:1, o:167, a:1, s:1, b:0),
% 20.86/21.23 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1' [158, 5] (w:1
% 20.86/21.23 , o:180, a:1, s:1, b:0),
% 20.86/21.23 'tc_Com_Opname' [160, 0] (w:1, o:72, a:1, s:1, b:0),
% 20.86/21.23 'c_Com_OWT__bodies' [161, 0] (w:1, o:73, a:1, s:1, b:0),
% 20.86/21.23 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1' [164, 1] (w:1, o:113
% 20.86/21.23 , a:1, s:1, b:0),
% 20.86/21.23 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1' [168, 4] (w:1, o:174
% 20.86/21.23 , a:1, s:1, b:0),
% 20.86/21.23 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1' [169, 4] (w:1
% 20.86/21.23 , o:175, a:1, s:1, b:0),
% 20.86/21.23 'c_COMBB' [170, 5] (w:1, o:181, a:1, s:1, b:0),
% 20.86/21.23 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1' [171, 5] (w:1
% 20.86/21.23 , o:182, a:1, s:1, b:0),
% 20.86/21.23 'c_Map_Omap__of' [172, 3] (w:1, o:166, a:1, s:1, b:0),
% 20.86/21.23 'tc_Option_Ooption' [174, 1] (w:1, o:114, a:1, s:1, b:0),
% 20.86/21.23 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1' [175, 5
% 20.86/21.23 ] (w:1, o:183, a:1, s:1, b:0),
% 20.86/21.23 'class_Orderings_Opreorder' [177, 1] (w:1, o:115, a:1, s:1, b:0),
% 20.86/21.23 'v_F' [179, 0] (w:1, o:78, a:1, s:1, b:0),
% 20.86/21.23 'tc_nat' [182, 0] (w:1, o:81, a:1, s:1, b:0),
% 20.86/21.23 'c_COMBC' [183, 6] (w:1, o:184, a:1, s:1, b:0),
% 20.86/21.23 'c_fequal' [184, 3] (w:1, o:168, a:1, s:1, b:0).
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Starting Search:
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 6791
% 20.86/21.23 Kept: 2003
% 20.86/21.23 Inuse: 156
% 20.86/21.23 Deleted: 6
% 20.86/21.23 Deletedinuse: 1
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 14391
% 20.86/21.23 Kept: 4005
% 20.86/21.23 Inuse: 269
% 20.86/21.23 Deleted: 6
% 20.86/21.23 Deletedinuse: 1
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 22066
% 20.86/21.23 Kept: 6011
% 20.86/21.23 Inuse: 354
% 20.86/21.23 Deleted: 12
% 20.86/21.23 Deletedinuse: 4
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 34089
% 20.86/21.23 Kept: 8318
% 20.86/21.23 Inuse: 469
% 20.86/21.23 Deleted: 23
% 20.86/21.23 Deletedinuse: 11
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 41877
% 20.86/21.23 Kept: 10370
% 20.86/21.23 Inuse: 515
% 20.86/21.23 Deleted: 23
% 20.86/21.23 Deletedinuse: 11
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 54075
% 20.86/21.23 Kept: 13595
% 20.86/21.23 Inuse: 568
% 20.86/21.23 Deleted: 26
% 20.86/21.23 Deletedinuse: 13
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 62055
% 20.86/21.23 Kept: 15612
% 20.86/21.23 Inuse: 630
% 20.86/21.23 Deleted: 28
% 20.86/21.23 Deletedinuse: 14
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 67964
% 20.86/21.23 Kept: 17679
% 20.86/21.23 Inuse: 657
% 20.86/21.23 Deleted: 28
% 20.86/21.23 Deletedinuse: 14
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 75430
% 20.86/21.23 Kept: 19733
% 20.86/21.23 Inuse: 700
% 20.86/21.23 Deleted: 31
% 20.86/21.23 Deletedinuse: 15
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying clauses:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 84054
% 20.86/21.23 Kept: 21794
% 20.86/21.23 Inuse: 739
% 20.86/21.23 Deleted: 182
% 20.86/21.23 Deletedinuse: 17
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 89709
% 20.86/21.23 Kept: 23977
% 20.86/21.23 Inuse: 762
% 20.86/21.23 Deleted: 185
% 20.86/21.23 Deletedinuse: 20
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 99287
% 20.86/21.23 Kept: 26049
% 20.86/21.23 Inuse: 808
% 20.86/21.23 Deleted: 185
% 20.86/21.23 Deletedinuse: 20
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 111452
% 20.86/21.23 Kept: 28191
% 20.86/21.23 Inuse: 850
% 20.86/21.23 Deleted: 188
% 20.86/21.23 Deletedinuse: 23
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 20.86/21.23 Done
% 20.86/21.23
% 20.86/21.23
% 20.86/21.23 Intermediate Status:
% 20.86/21.23 Generated: 124908
% 20.86/21.23 Kept: 30576
% 20.86/21.23 Inuse: 870
% 20.86/21.23 Deleted: 188
% 20.86/21.23 Deletedinuse: 23
% 20.86/21.23
% 20.86/21.23 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 135695
% 41.48/41.86 Kept: 32593
% 41.48/41.86 Inuse: 925
% 41.48/41.86 Deleted: 225
% 41.48/41.86 Deletedinuse: 30
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 144417
% 41.48/41.86 Kept: 34887
% 41.48/41.86 Inuse: 927
% 41.48/41.86 Deleted: 236
% 41.48/41.86 Deletedinuse: 33
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 155570
% 41.48/41.86 Kept: 36924
% 41.48/41.86 Inuse: 952
% 41.48/41.86 Deleted: 261
% 41.48/41.86 Deletedinuse: 33
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 174591
% 41.48/41.86 Kept: 39615
% 41.48/41.86 Inuse: 1027
% 41.48/41.86 Deleted: 261
% 41.48/41.86 Deletedinuse: 33
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying clauses:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 184262
% 41.48/41.86 Kept: 41691
% 41.48/41.86 Inuse: 1047
% 41.48/41.86 Deleted: 573
% 41.48/41.86 Deletedinuse: 33
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 197641
% 41.48/41.86 Kept: 43730
% 41.48/41.86 Inuse: 1127
% 41.48/41.86 Deleted: 579
% 41.48/41.86 Deletedinuse: 39
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 211343
% 41.48/41.86 Kept: 45755
% 41.48/41.86 Inuse: 1212
% 41.48/41.86 Deleted: 592
% 41.48/41.86 Deletedinuse: 46
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 230778
% 41.48/41.86 Kept: 47804
% 41.48/41.86 Inuse: 1276
% 41.48/41.86 Deleted: 596
% 41.48/41.86 Deletedinuse: 50
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 242242
% 41.48/41.86 Kept: 49823
% 41.48/41.86 Inuse: 1324
% 41.48/41.86 Deleted: 626
% 41.48/41.86 Deletedinuse: 58
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 261064
% 41.48/41.86 Kept: 51853
% 41.48/41.86 Inuse: 1352
% 41.48/41.86 Deleted: 644
% 41.48/41.86 Deletedinuse: 59
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 275555
% 41.48/41.86 Kept: 56215
% 41.48/41.86 Inuse: 1393
% 41.48/41.86 Deleted: 657
% 41.48/41.86 Deletedinuse: 60
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 288286
% 41.48/41.86 Kept: 58327
% 41.48/41.86 Inuse: 1435
% 41.48/41.86 Deleted: 657
% 41.48/41.86 Deletedinuse: 60
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 296442
% 41.48/41.86 Kept: 61241
% 41.48/41.86 Inuse: 1446
% 41.48/41.86 Deleted: 657
% 41.48/41.86 Deletedinuse: 60
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying clauses:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 307541
% 41.48/41.86 Kept: 63273
% 41.48/41.86 Inuse: 1454
% 41.48/41.86 Deleted: 1303
% 41.48/41.86 Deletedinuse: 62
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 329813
% 41.48/41.86 Kept: 66093
% 41.48/41.86 Inuse: 1460
% 41.48/41.86 Deleted: 1303
% 41.48/41.86 Deletedinuse: 62
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 354144
% 41.48/41.86 Kept: 69170
% 41.48/41.86 Inuse: 1475
% 41.48/41.86 Deleted: 1304
% 41.48/41.86 Deletedinuse: 63
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 402468
% 41.48/41.86 Kept: 73906
% 41.48/41.86 Inuse: 1490
% 41.48/41.86 Deleted: 1304
% 41.48/41.86 Deletedinuse: 63
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 439543
% 41.48/41.86 Kept: 77576
% 41.48/41.86 Inuse: 1495
% 41.48/41.86 Deleted: 1305
% 41.48/41.86 Deletedinuse: 64
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 456561
% 41.48/41.86 Kept: 79599
% 41.48/41.86 Inuse: 1511
% 41.48/41.86 Deleted: 1305
% 41.48/41.86 Deletedinuse: 64
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 470431
% 41.48/41.86 Kept: 83550
% 41.48/41.86 Inuse: 1537
% 41.48/41.86 Deleted: 1307
% 41.48/41.86 Deletedinuse: 65
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying clauses:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 485567
% 41.48/41.86 Kept: 85552
% 41.48/41.86 Inuse: 1558
% 41.48/41.86 Deleted: 1392
% 41.48/41.86 Deletedinuse: 65
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 500343
% 41.48/41.86 Kept: 87582
% 41.48/41.86 Inuse: 1591
% 41.48/41.86 Deleted: 1392
% 41.48/41.86 Deletedinuse: 65
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 513117
% 41.48/41.86 Kept: 89703
% 41.48/41.86 Inuse: 1624
% 41.48/41.86 Deleted: 1392
% 41.48/41.86 Deletedinuse: 65
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 525044
% 41.48/41.86 Kept: 91804
% 41.48/41.86 Inuse: 1639
% 41.48/41.86 Deleted: 1394
% 41.48/41.86 Deletedinuse: 67
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 545641
% 41.48/41.86 Kept: 94535
% 41.48/41.86 Inuse: 1659
% 41.48/41.86 Deleted: 1395
% 41.48/41.86 Deletedinuse: 68
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 564362
% 41.48/41.86 Kept: 97524
% 41.48/41.86 Inuse: 1674
% 41.48/41.86 Deleted: 1395
% 41.48/41.86 Deletedinuse: 68
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 584930
% 41.48/41.86 Kept: 100084
% 41.48/41.86 Inuse: 1684
% 41.48/41.86 Deleted: 1395
% 41.48/41.86 Deletedinuse: 68
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 599353
% 41.48/41.86 Kept: 102230
% 41.48/41.86 Inuse: 1719
% 41.48/41.86 Deleted: 1395
% 41.48/41.86 Deletedinuse: 68
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying clauses:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 613353
% 41.48/41.86 Kept: 104249
% 41.48/41.86 Inuse: 1752
% 41.48/41.86 Deleted: 1659
% 41.48/41.86 Deletedinuse: 69
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 624293
% 41.48/41.86 Kept: 106390
% 41.48/41.86 Inuse: 1779
% 41.48/41.86 Deleted: 1659
% 41.48/41.86 Deletedinuse: 69
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 633692
% 41.48/41.86 Kept: 108566
% 41.48/41.86 Inuse: 1797
% 41.48/41.86 Deleted: 1659
% 41.48/41.86 Deletedinuse: 69
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 641145
% 41.48/41.86 Kept: 110659
% 41.48/41.86 Inuse: 1814
% 41.48/41.86 Deleted: 1659
% 41.48/41.86 Deletedinuse: 69
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 649479
% 41.48/41.86 Kept: 112754
% 41.48/41.86 Inuse: 1831
% 41.48/41.86 Deleted: 1659
% 41.48/41.86 Deletedinuse: 69
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 658982
% 41.48/41.86 Kept: 114778
% 41.48/41.86 Inuse: 1835
% 41.48/41.86 Deleted: 1659
% 41.48/41.86 Deletedinuse: 69
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 669387
% 41.48/41.86 Kept: 116785
% 41.48/41.86 Inuse: 1845
% 41.48/41.86 Deleted: 1661
% 41.48/41.86 Deletedinuse: 69
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 685379
% 41.48/41.86 Kept: 119846
% 41.48/41.86 Inuse: 1867
% 41.48/41.86 Deleted: 1664
% 41.48/41.86 Deletedinuse: 72
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 700253
% 41.48/41.86 Kept: 122044
% 41.48/41.86 Inuse: 1882
% 41.48/41.86 Deleted: 1665
% 41.48/41.86 Deletedinuse: 73
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying clauses:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 712543
% 41.48/41.86 Kept: 124205
% 41.48/41.86 Inuse: 1912
% 41.48/41.86 Deleted: 2146
% 41.48/41.86 Deletedinuse: 73
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 723793
% 41.48/41.86 Kept: 126212
% 41.48/41.86 Inuse: 1934
% 41.48/41.86 Deleted: 2146
% 41.48/41.86 Deletedinuse: 73
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 733710
% 41.48/41.86 Kept: 128408
% 41.48/41.86 Inuse: 1957
% 41.48/41.86 Deleted: 2157
% 41.48/41.86 Deletedinuse: 84
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 741750
% 41.48/41.86 Kept: 130424
% 41.48/41.86 Inuse: 1976
% 41.48/41.86 Deleted: 2163
% 41.48/41.86 Deletedinuse: 85
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 750258
% 41.48/41.86 Kept: 132657
% 41.48/41.86 Inuse: 1994
% 41.48/41.86 Deleted: 2175
% 41.48/41.86 Deletedinuse: 94
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 761271
% 41.48/41.86 Kept: 134926
% 41.48/41.86 Inuse: 2010
% 41.48/41.86 Deleted: 2181
% 41.48/41.86 Deletedinuse: 96
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 772761
% 41.48/41.86 Kept: 137040
% 41.48/41.86 Inuse: 2040
% 41.48/41.86 Deleted: 2181
% 41.48/41.86 Deletedinuse: 96
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 785458
% 41.48/41.86 Kept: 139045
% 41.48/41.86 Inuse: 2073
% 41.48/41.86 Deleted: 2184
% 41.48/41.86 Deletedinuse: 96
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Intermediate Status:
% 41.48/41.86 Generated: 821869
% 41.48/41.86 Kept: 142190
% 41.48/41.86 Inuse: 2081
% 41.48/41.86 Deleted: 2189
% 41.48/41.86 Deletedinuse: 100
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86 Resimplifying inuse:
% 41.48/41.86 Done
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 Bliksems!, er is een bewijs:
% 41.48/41.86 % SZS status Unsatisfiable
% 41.48/41.86 % SZS output start Refutation
% 41.48/41.86
% 41.48/41.86 clause( 438, [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T )
% 41.48/41.86 , 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ] )
% 41.48/41.86 .
% 41.48/41.86 clause( 491, [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.86 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ] )
% 41.48/41.86 .
% 41.48/41.86 clause( 502, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 41.48/41.86 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 41.48/41.86 .
% 41.48/41.86 clause( 503, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 41.48/41.86 ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.86 .
% 41.48/41.86 clause( 514, [ ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'(
% 41.48/41.86 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 41.48/41.86 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 41.48/41.86 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.86 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.86 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 41.48/41.86 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.86 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ] )
% 41.48/41.86 .
% 41.48/41.86 clause( 138623, [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W )
% 41.48/41.86 , 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 41.48/41.86 .
% 41.48/41.86 clause( 138955, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, 'c_Map_Odom'(
% 41.48/41.86 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname', Y ), Y
% 41.48/41.86 ) ] )
% 41.48/41.86 .
% 41.48/41.86 clause( 143659, [] )
% 41.48/41.86 .
% 41.48/41.86
% 41.48/41.86
% 41.48/41.86 % SZS output end Refutation
% 41.48/41.86 found a proof!
% 41.48/41.86
% 41.48/41.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 41.48/41.86
% 41.48/41.86 initialclauses(
% 41.48/41.86 [ clause( 143661, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143662, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 41.48/41.86 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 41.48/41.86 , clause( 143663, [ ~( =( 'c_Set_Oinsert'( X,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 41.48/41.86 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), Y ) ) ), =( X, Z ) ] )
% 41.48/41.86 , clause( 143664, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 41.48/41.86 , clause( 143665, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 41.48/41.86 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 41.48/41.86 Y, Z ) ) ] )
% 41.48/41.86 , clause( 143666, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 41.48/41.86 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 41.48/41.86 Y, X ) ) ] )
% 41.48/41.86 , clause( 143667, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 41.48/41.86 , clause( 143668, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 41.48/41.86 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ] )
% 41.48/41.86 , clause( 143669, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 41.48/41.86 ) ) ] )
% 41.48/41.86 , clause( 143670, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 41.48/41.86 , clause( 143671, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 41.48/41.86 , clause( 143672, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143673, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), X ) ) ] )
% 41.48/41.86 , clause( 143674, [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 41.48/41.86 ), =( 'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X
% 41.48/41.86 , U, T ) ) ] )
% 41.48/41.86 , clause( 143675, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 41.48/41.86 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~(
% 41.48/41.86 'c_in'( Y, T, U ) ) ] )
% 41.48/41.86 , clause( 143676, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 41.48/41.86 U ) ), ~( 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y
% 41.48/41.86 , Z ) ] )
% 41.48/41.86 , clause( 143677, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 41.48/41.86 U ) ), ~( 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y
% 41.48/41.86 , Z ) ] )
% 41.48/41.86 , clause( 143678, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T,
% 41.48/41.86 U ) ), ~( 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 41.48/41.86 ) ) ] )
% 41.48/41.86 , clause( 143679, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ) ) ] )
% 41.48/41.86 , clause( 143680, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ) ) ] )
% 41.48/41.86 , clause( 143681, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143682, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143683, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143684, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143685, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143686, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143687, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 41.48/41.86 , clause( 143688, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 41.48/41.86 , clause( 143689, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143690, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 41.48/41.86 ] )
% 41.48/41.86 , clause( 143691, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 41.48/41.86 , T, X ) ) ), =( Z, T ) ] )
% 41.48/41.86 , clause( 143692, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 41.48/41.86 , T, X ) ) ), =( Y, Z ) ] )
% 41.48/41.86 , clause( 143693, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 41.48/41.86 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 41.48/41.86 , clause( 143694, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143695, [ =( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143696, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 41.48/41.86 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 41.48/41.86 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 41.48/41.86 , clause( 143697, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T, U ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z
% 41.48/41.86 , Y, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 41.48/41.86 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 41.48/41.86 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ), T, U ) ] )
% 41.48/41.86 , clause( 143698, [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ] )
% 41.48/41.86 , clause( 143699, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 41.48/41.86 , clause( 143700, [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ] )
% 41.48/41.86 , clause( 143701, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T )
% 41.48/41.86 , 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 41.48/41.86 , clause( 143702, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 41.48/41.86 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 41.48/41.86 Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 143703, [ 'c_in'( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z,
% 41.48/41.86 T ), U ), X, Z ), ~( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ] )
% 41.48/41.86 , clause( 143704, [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ] )
% 41.48/41.86 , clause( 143705, [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T
% 41.48/41.86 ), U ), hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =(
% 41.48/41.86 U, W ), ~( 'c_in'( W, 'c_Set_Oimage'( Y, X, Z, T ), T ) ), ~( 'c_in'( U,
% 41.48/41.86 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ] )
% 41.48/41.86 , clause( 143706, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 41.48/41.86 , clause( 143707, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 41.48/41.86 , clause( 143708, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 41.48/41.86 , clause( 143709, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U )
% 41.48/41.86 , 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 Z, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~(
% 41.48/41.86 'c_Fun_Oinj__on'( X, Z, T, U ) ) ] )
% 41.48/41.86 , clause( 143710, [ =( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'c_Fun_Oid'(
% 41.48/41.86 X ), X, X ), 'c_Fun_Oid'( X ) ) ] )
% 41.48/41.86 , clause( 143711, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 41.48/41.86 , clause( 143712, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 143713, [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T )
% 41.48/41.86 , Z ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 41.48/41.86 , clause( 143714, [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143715, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143716, [ =( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), Y
% 41.48/41.86 , Z, Z ), 'c_Fun_Oid'( Z ) ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ] )
% 41.48/41.86 , clause( 143717, [ ~( =( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), Y
% 41.48/41.86 , Z, Z ), 'c_Fun_Oid'( Z ) ) ), 'c_Fun_Osurj'( X, Y, Z ) ] )
% 41.48/41.86 , clause( 143718, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143719, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143720, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143721, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143722, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W
% 41.48/41.86 ), ~( 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 41.48/41.86 , clause( 143723, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z
% 41.48/41.86 , 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 143724, [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143725, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 41.48/41.86 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 41.48/41.86 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 41.48/41.86 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 143726, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X,
% 41.48/41.86 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 41.48/41.86 ) ), ~( 'c_in'( Y, X, Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T
% 41.48/41.86 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143727, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143728, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143729, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 41.48/41.86 , 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ] )
% 41.48/41.86 , clause( 143730, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 41.48/41.86 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T
% 41.48/41.86 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 41.48/41.86 , clause( 143731, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 143732, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 41.48/41.86 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 41.48/41.86 , X ) ) ] )
% 41.48/41.86 , clause( 143733, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143734, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 41.48/41.86 , clause( 143735, [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), Z ), 'c_in'( X, Y, Z ) ] )
% 41.48/41.86 , clause( 143736, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 41.48/41.86 , clause( 143737, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 41.48/41.86 , clause( 143738, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 41.48/41.86 ) ) ) ] )
% 41.48/41.86 , clause( 143739, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143740, [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 41.48/41.86 , 'tc_fun'( T, 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) )
% 41.48/41.86 ] )
% 41.48/41.86 , clause( 143741, [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X,
% 41.48/41.86 'c_Fun_Ocomp'( Y, Z, T, U, W ), W, U ), V0 ), hAPP( 'c_Fun_Ocomp'(
% 41.48/41.86 'c_Hilbert__Choice_Oinv__into'( X, Z, W, T ),
% 41.48/41.86 'c_Hilbert__Choice_Oinv__into'( 'c_Set_Oimage'( Z, X, W, T ), Y, T, U ),
% 41.48/41.86 T, W, U ), V0 ) ), ~( 'c_in'( V0, 'c_Set_Oimage'( Y, 'c_Set_Oimage'( Z, X
% 41.48/41.86 , W, T ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( Z, X, W, T ) ), ~(
% 41.48/41.86 'c_Fun_Oinj__on'( Y, 'c_Set_Oimage'( Z, X, W, T ), T, U ) ) ] )
% 41.48/41.86 , clause( 143742, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 41.48/41.86 , 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 41.48/41.86 'c_Fun_Obij'( X, Z, T ) ) ] )
% 41.48/41.86 , clause( 143743, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 41.48/41.86 , clause( 143744, [ 'c_Fun_Obij'( 'c_Fun_Oid'( X ), X, X ) ] )
% 41.48/41.86 , clause( 143745, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143746, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 41.48/41.86 ) ) ) ] )
% 41.48/41.86 , clause( 143747, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 41.48/41.86 , clause( 143748, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 41.48/41.86 , clause( 143749, [ 'c_in'( X, 'c_Inductive_Ocomplete__lattice__class_Ogfp'(
% 41.48/41.86 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( T, hAPP( Y, T ),
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 41.48/41.86 , clause( 143750, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X
% 41.48/41.86 , Y, Z ) ] )
% 41.48/41.86 , clause( 143751, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 41.48/41.86 Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.86 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ),
% 41.48/41.86 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 41.48/41.86 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 41.48/41.86 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 41.48/41.86 , clause( 143752, [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ] )
% 41.48/41.86 , clause( 143753, [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ] )
% 41.48/41.86 , clause( 143754, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 Y, 'tc_fun'( Z, 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Set_Ovimage'( X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143755, [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), T
% 41.48/41.86 ) ), T ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ] )
% 41.48/41.86 , clause( 143756, [ 'c_Fun_Obij'( X, Y, Z ), ~( 'c_Fun_Osurj'( X, Y, Z ) )
% 41.48/41.86 , ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), Y, Z ) ) ] )
% 41.48/41.86 , clause( 143757, [ 'c_Fun_Obij'( X, Y, Z ), ~( 'c_Fun_Osurj'( X, Y, Z ) )
% 41.48/41.86 , ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), Y, Z ) ) ] )
% 41.48/41.86 , clause( 143758, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 41.48/41.86 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 41.48/41.86 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 41.48/41.86 , clause( 143759, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'(
% 41.48/41.86 X, T, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143760, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~(
% 41.48/41.86 hBOOL( hAPP( Y, T ) ) ) ] )
% 41.48/41.86 , clause( 143761, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z
% 41.48/41.86 , T, U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143762, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 41.48/41.86 'c_in'( Y, X, T ) ] )
% 41.48/41.86 , clause( 143763, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_in'( T, X, Z ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ),
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143764, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 41.48/41.86 'c_in'( Y, X, T ) ] )
% 41.48/41.86 , clause( 143765, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.86 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) )
% 41.48/41.86 ), 'c_in'( T, X, Z ) ] )
% 41.48/41.86 , clause( 143766, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T
% 41.48/41.86 , Z ) ) ), 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ] )
% 41.48/41.86 , clause( 143767, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ] )
% 41.48/41.86 , clause( 143768, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ] )
% 41.48/41.86 , clause( 143769, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143770, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143771, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 41.48/41.86 , clause( 143772, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 41.48/41.86 , clause( 143773, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'(
% 41.48/41.86 'c_Fun_Oid'( T ), W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W
% 41.48/41.86 , V0 ) ) ] )
% 41.48/41.86 , clause( 143774, [ ~( =( 'c_Finite__Set_Ocard'( X, Y ),
% 41.48/41.86 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( X,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143775, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143776, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143777, [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Oimage'(
% 41.48/41.86 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), X, Z, T ), Y, T, Z ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143778, [ 'c_Fun_Obij__betw'( 'c_Hilbert__Choice_Oinv__into'( X,
% 41.48/41.86 Y, Z, T ), U, X, T, Z ), ~( 'c_Fun_Obij__betw'( Y, X, U, Z, T ) ) ] )
% 41.48/41.86 , clause( 143779, [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143780, [ =( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143781, [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T )
% 41.48/41.86 , Z ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ), ~( 'c_Fun_Obij'( X, Z, T ) )
% 41.48/41.86 ] )
% 41.48/41.86 , clause( 143782, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( Z, X, T, Y ), T ) ), ~(
% 41.48/41.86 'c_Fun_Obij'( Z, T, Y ) ) ] )
% 41.48/41.86 , clause( 143783, [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W,
% 41.48/41.86 U, T ), 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ] )
% 41.48/41.86 , clause( 143784, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 41.48/41.86 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 41.48/41.86 , clause( 143785, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 41.48/41.86 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 41.48/41.86 , clause( 143786, [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~(
% 41.48/41.86 'c_in'( hAPP( Y, X ), Z, U ) ) ] )
% 41.48/41.86 , clause( 143787, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y,
% 41.48/41.86 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ] )
% 41.48/41.86 , clause( 143788, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y,
% 41.48/41.86 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ] )
% 41.48/41.86 , clause( 143789, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 41.48/41.86 ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 41.48/41.86 , X ), X ), X ) ) ] )
% 41.48/41.86 , clause( 143790, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143791, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 41.48/41.86 , clause( 143792, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 41.48/41.86 , clause( 143793, [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP(
% 41.48/41.86 'c_Com_Ocom_OBODY', Y ) ) ), =( X, Y ) ] )
% 41.48/41.86 , clause( 143794, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143795, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 41.48/41.86 , X ), X ) ) ] )
% 41.48/41.86 , clause( 143796, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 41.48/41.86 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 41.48/41.86 , X ), X ) ) ] )
% 41.48/41.86 , clause( 143797, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z
% 41.48/41.86 ) ) ] )
% 41.48/41.86 , clause( 143798, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143799, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143800, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 143801, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 143802, [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 41.48/41.86 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ] )
% 41.48/41.86 , clause( 143803, [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 41.48/41.86 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ] )
% 41.48/41.86 , clause( 143804, [ 'c_Fun_Osurj'( 'c_Fun_Oid'( X ), X, X ) ] )
% 41.48/41.86 , clause( 143805, [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U
% 41.48/41.86 , T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ),
% 41.48/41.86 ~( 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ] )
% 41.48/41.86 , clause( 143806, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143807, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 41.48/41.86 , X ), X ) ) ] )
% 41.48/41.86 , clause( 143808, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 41.48/41.86 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 41.48/41.86 , X ), X ) ) ] )
% 41.48/41.86 , clause( 143809, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 41.48/41.86 ) ) ) ] )
% 41.48/41.86 , clause( 143810, [ =( 'c_Set_Ovimage'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 41.48/41.86 , 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143811, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 41.48/41.86 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143812, [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'(
% 41.48/41.86 Y, Z, T ), T, U ) ) ] )
% 41.48/41.86 , clause( 143813, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143814, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), X ) ) ] )
% 41.48/41.86 , clause( 143815, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 41.48/41.86 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 41.48/41.86 'c_in'( X, T, Z ) ] )
% 41.48/41.86 , clause( 143816, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 41.48/41.86 ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143817, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), Y ) ) ) ] )
% 41.48/41.86 , clause( 143818, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), Y ) ) ) ] )
% 41.48/41.86 , clause( 143819, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), Y, Y ), ~( 'c_Fun_Osurj'( X, Y, Y ) ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), Y ) ) ] )
% 41.48/41.86 , clause( 143820, [ 'c_Fun_Osurj'( X, Y, Y ), ~( 'c_Fun_Oinj__on'( X,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Y ) ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), Y ) ) ] )
% 41.48/41.86 , clause( 143821, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 41.48/41.86 , 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z, T ) ) ] )
% 41.48/41.86 , clause( 143822, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 41.48/41.86 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z, T ) ) ] )
% 41.48/41.86 , clause( 143823, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 41.48/41.86 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143824, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 143825, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z
% 41.48/41.86 , T ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 41.48/41.86 , clause( 143826, [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, X ), ~(
% 41.48/41.86 'c_Fun_Osurj'( Y, X, Z ) ) ] )
% 41.48/41.86 , clause( 143827, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 41.48/41.86 , Z ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143828, [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ] )
% 41.48/41.86 , clause( 143829, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.86 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143830, [ 'c_lessequals'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), Z,
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143831, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Obij__betw'(
% 41.48/41.86 X, Y, U, Z, T ) ) ] )
% 41.48/41.86 , clause( 143832, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 143833, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 41.48/41.86 ), Y ) ] )
% 41.48/41.86 , clause( 143834, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 41.48/41.86 ), Y ) ] )
% 41.48/41.86 , clause( 143835, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 41.48/41.86 ) ) ] )
% 41.48/41.86 , clause( 143836, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 41.48/41.86 ) ) ] )
% 41.48/41.86 , clause( 143837, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 41.48/41.86 ), Y ) ] )
% 41.48/41.86 , clause( 143838, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 41.48/41.86 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 41.48/41.86 , clause( 143839, [ =( 'c_Set_Ovimage'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 41.48/41.86 , 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143840, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 41.48/41.86 hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.86 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.86 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~(
% 41.48/41.86 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP(
% 41.48/41.86 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ), X,
% 41.48/41.86 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'c_Set_Oinsert'( hAPP(
% 41.48/41.86 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 41.48/41.86 'c_Com_Obody', Y ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.86 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 41.48/41.86 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143841, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 41.48/41.86 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 41.48/41.86 ~( 'c_lessequals'( U, T, X ) ) ] )
% 41.48/41.86 , clause( 143842, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 41.48/41.86 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 41.48/41.86 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 41.48/41.86 , clause( 143843, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 41.48/41.86 , clause( 143844, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 41.48/41.86 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T ) ) ] )
% 41.48/41.86 , clause( 143845, [ 'c_Fun_Obij'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ),
% 41.48/41.86 ~( 'c_Fun_Obij'( X, Z, T ) ), ~( 'c_Fun_Obij'( Y, U, Z ) ) ] )
% 41.48/41.86 , clause( 143846, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 41.48/41.86 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 41.48/41.86 , 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143847, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z
% 41.48/41.86 , T ), Y ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 41.48/41.86 , clause( 143848, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143849, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), ~( 'c_Fun_Obij'( X, Y, Z ) ) ] )
% 41.48/41.86 , clause( 143850, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 X ) ) ] )
% 41.48/41.86 , clause( 143851, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 41.48/41.86 , clause( 143852, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 41.48/41.86 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 41.48/41.86 ) ) ) ] )
% 41.48/41.86 , clause( 143853, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 143854, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143855, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 41.48/41.86 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143856, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 41.48/41.86 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143857, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 41.48/41.86 , clause( 143858, [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ] )
% 41.48/41.86 , clause( 143859, [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y
% 41.48/41.86 , X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T
% 41.48/41.86 , Z ), T ) ] )
% 41.48/41.86 , clause( 143860, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ) ) ] )
% 41.48/41.86 , clause( 143861, [ 'c_Fun_Osurj'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ),
% 41.48/41.86 ~( 'c_Fun_Osurj'( X, Z, T ) ), ~( 'c_Fun_Osurj'( Y, U, Z ) ) ] )
% 41.48/41.86 , clause( 143862, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 41.48/41.86 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ] )
% 41.48/41.86 , clause( 143863, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z )
% 41.48/41.86 , 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 41.48/41.86 , clause( 143864, [ 'c_Map_Omap__le'( X, X, Y, Z ) ] )
% 41.48/41.86 , clause( 143865, [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U
% 41.48/41.86 , Y, Z, T ) ), ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ] )
% 41.48/41.86 , clause( 143866, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 41.48/41.86 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 41.48/41.86 , clause( 143867, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 143868, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143869, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X,
% 41.48/41.86 U, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 41.48/41.86 , clause( 143870, [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ),
% 41.48/41.86 hAPP( Y, U ) ), U ), ~( 'c_in'( U, X, Z ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z
% 41.48/41.86 , T ) ) ] )
% 41.48/41.86 , clause( 143871, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_Fun_Oinj__on'( T, Y, Z, U
% 41.48/41.86 ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, T, Z, U ), hAPP( T, X )
% 41.48/41.86 ), X ) ] )
% 41.48/41.86 , clause( 143872, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143873, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 X ) ) ] )
% 41.48/41.86 , clause( 143874, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 41.48/41.86 , clause( 143875, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 41.48/41.86 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 41.48/41.86 ) ) ) ] )
% 41.48/41.86 , clause( 143876, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 143877, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Osurj'( Z, T
% 41.48/41.86 , Y ) ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( Z, X, T, Y ), T ) )
% 41.48/41.86 ] )
% 41.48/41.86 , clause( 143878, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 41.48/41.86 ~( 'c_in'( Z, 'c_SetInterval_Oord__class_OatLeast'( Y, X ), X ) ) ] )
% 41.48/41.86 , clause( 143879, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ), ~( 'c_lessequals'( Z,
% 41.48/41.86 Y, X ) ) ] )
% 41.48/41.86 , clause( 143880, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ] )
% 41.48/41.86 , clause( 143881, [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 41.48/41.86 Z, T ) ), ~( 'c_Fun_Obij__betw'( U, X, Z, Y, T ) ) ] )
% 41.48/41.86 , clause( 143882, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 41.48/41.86 hAPP( 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 41.48/41.86 , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 41.48/41.86 ~( 'c_Com_OWT'( Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 41.48/41.86 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP(
% 41.48/41.86 'c_Com_Ocom_OBODY', 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ) ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.86 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.86 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), ~(
% 41.48/41.86 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 41.48/41.86 , clause( 143883, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'(
% 41.48/41.86 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), X, Y, Z ), T, Z, Y ), Y, Z ), T ), ~( 'c_Fun_Osurj'( X
% 41.48/41.86 , Y, Z ) ) ] )
% 41.48/41.86 , clause( 143884, [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( 'c_in'( Y,
% 41.48/41.86 'c_Map_Odom'( X, T, U ), T ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ] )
% 41.48/41.86 , clause( 143885, [ =( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Y
% 41.48/41.86 , Z, X, X ), 'c_Fun_Oid'( X ) ), ~( 'c_Fun_Oinj__on'( Y,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ] )
% 41.48/41.86 , clause( 143886, [ ~( =( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Y
% 41.48/41.86 , Z, X, X ), 'c_Fun_Oid'( X ) ) ), 'c_Fun_Oinj__on'( Y,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ] )
% 41.48/41.86 , clause( 143887, [ =( 'c_Set_Oimage'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 41.48/41.86 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 41.48/41.86 , clause( 143888, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 143889, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143890, [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 41.48/41.86 , 'tc_bool' ) ), Y ) ] )
% 41.48/41.86 , clause( 143891, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ),
% 41.48/41.86 'c_Option_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 41.48/41.86 , clause( 143892, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 143893, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 143894, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X,
% 41.48/41.86 hAPP( Y, W ) ) ) ] )
% 41.48/41.86 , clause( 143895, [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y,
% 41.48/41.86 T, U, W ), Z ) ) ] )
% 41.48/41.86 , clause( 143896, [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) )
% 41.48/41.86 ), 'c_in'( Y, 'c_Map_Odom'( X, U, T ), U ) ] )
% 41.48/41.86 , clause( 143897, [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143898, [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ),
% 41.48/41.86 'c_Set_Oimage'( T, Y, Z, U ), U ) ), ~( 'c_Fun_Oinj__on'( T,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 41.48/41.86 , clause( 143899, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 41.48/41.86 , ~( 'c_in'( Y, Z, T ) ), ~( 'c_Fun_Oinj__on'( X,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 41.48/41.86 , clause( 143900, [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z
% 41.48/41.86 , T ), Y ), ~( 'c_Fun_Osurj'( X, Z, T ) ) ] )
% 41.48/41.86 , clause( 143901, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 41.48/41.86 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T, U ) ), =( Y, Z ) ] )
% 41.48/41.86 , clause( 143902, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 41.48/41.86 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), Y ) ) ) ] )
% 41.48/41.86 , clause( 143903, [ hBOOL( hAPP(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 41.48/41.86 , clause( 143904, [ hBOOL( hAPP(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 41.48/41.86 , clause( 143905, [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ) ) ] )
% 41.48/41.86 , clause( 143906, [ =( 'c_Set_Ovimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ] )
% 41.48/41.86 , clause( 143907, [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 41.48/41.86 'c_Finite__Set_Ocard'( X, Z ) ), 'c_in'( Y, X, Z ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 41.48/41.86 , clause( 143908, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143909, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143910, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143911, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143912, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143913, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143914, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 41.48/41.86 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 143915, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 41.48/41.86 ] )
% 41.48/41.86 , clause( 143916, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 41.48/41.86 , clause( 143917, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 41.48/41.86 , clause( 143918, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 41.48/41.86 X, 'tc_bool' ) ), Y ) ] )
% 41.48/41.86 , clause( 143919, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 143920, [ =( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 41.48/41.86 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 41.48/41.86 ) ) ) ] )
% 41.48/41.86 , clause( 143921, [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), 'c_Fun_Obij__betw'(
% 41.48/41.86 X, Y, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ) ] )
% 41.48/41.86 , clause( 143922, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X,
% 41.48/41.86 U, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 41.48/41.86 , clause( 143923, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 41.48/41.86 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 41.48/41.86 Y, X ) ) ] )
% 41.48/41.86 , clause( 143924, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 41.48/41.86 , clause( 143925, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 41.48/41.86 , clause( 143926, [ =( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'c_Fun_Ocomp'(
% 41.48/41.86 Y, Z, T, U, X ), X, U ), 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Z, X, T ),
% 41.48/41.86 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), Y, T, U ), T, X, U ) ), ~( 'c_Fun_Obij'( Z, X, T ) ),
% 41.48/41.86 ~( 'c_Fun_Obij'( Y, T, U ) ) ] )
% 41.48/41.86 , clause( 143927, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 41.48/41.86 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 143928, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.86 Y ), 'tc_bool' ) ), Y ) ] )
% 41.48/41.86 , clause( 143929, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 41.48/41.86 , 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 41.48/41.86 , clause( 143930, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 143931, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 41.48/41.86 ~( 'c_in'( Y, 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ) ] )
% 41.48/41.86 , clause( 143932, [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y,
% 41.48/41.86 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ), ~( 'c_lessequals'( Y, Z
% 41.48/41.86 , X ) ) ] )
% 41.48/41.86 , clause( 143933, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ) ] )
% 41.48/41.86 , clause( 143934, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143935, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 143936, [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 ) ) ] )
% 41.48/41.86 , clause( 143937, [ 'c_Fun_Osurj'( X, Y, Z ), ~( 'c_Fun_Obij'( X, Y, Z ) )
% 41.48/41.86 ] )
% 41.48/41.86 , clause( 143938, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 41.48/41.86 ) ) ] )
% 41.48/41.86 , clause( 143939, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ] )
% 41.48/41.86 , clause( 143940, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ] )
% 41.48/41.86 , clause( 143941, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 41.48/41.86 X, 'tc_bool' ) ), Y ) ] )
% 41.48/41.86 , clause( 143942, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 143943, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 41.48/41.86 , clause( 143944, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 41.48/41.86 , clause( 143945, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 41.48/41.86 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 143946, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 41.48/41.86 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 41.48/41.86 , clause( 143947, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 41.48/41.86 , clause( 143948, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 41.48/41.86 , clause( 143949, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 41.48/41.86 , 'c_lessequals'( Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X )
% 41.48/41.86 , X ), ~( 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ] )
% 41.48/41.86 , clause( 143950, [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( X ), X ) ] )
% 41.48/41.86 , clause( 143951, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 Y, X ) ] )
% 41.48/41.86 , clause( 143952, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 Z, X ) ] )
% 41.48/41.86 , clause( 143953, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 41.48/41.86 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143954, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 41.48/41.86 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143955, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 41.48/41.86 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143956, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 41.48/41.86 , clause( 143957, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 41.48/41.86 , clause( 143958, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 41.48/41.86 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 143959, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ) ] )
% 41.48/41.86 , clause( 143960, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 41.48/41.86 'c_lessequals'( Z, Y, X ) ) ] )
% 41.48/41.86 , clause( 143961, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 41.48/41.86 , clause( 143962, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 41.48/41.86 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 143963, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 41.48/41.86 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 41.48/41.86 , X ), X ) ) ] )
% 41.48/41.86 , clause( 143964, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 41.48/41.86 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 143965, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ) ] )
% 41.48/41.86 , clause( 143966, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 41.48/41.86 'c_lessequals'( Z, Y, X ) ) ] )
% 41.48/41.86 , clause( 143967, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143968, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 41.48/41.86 ), X ) ] )
% 41.48/41.86 , clause( 143969, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 41.48/41.86 ), X ) ] )
% 41.48/41.86 , clause( 143970, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143971, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 143972, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 41.48/41.86 , 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 41.48/41.86 , clause( 143973, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 41.48/41.86 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 41.48/41.86 , clause( 143974, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143975, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 41.48/41.86 , clause( 143976, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 41.48/41.86 , clause( 143977, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 41.48/41.86 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 41.48/41.86 , clause( 143978, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 143979, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 41.48/41.86 , clause( 143980, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 41.48/41.86 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 41.48/41.86 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 41.48/41.86 , clause( 143981, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 41.48/41.86 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 41.48/41.86 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 41.48/41.86 , clause( 143982, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 41.48/41.86 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 41.48/41.86 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 41.48/41.86 , clause( 143983, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 41.48/41.86 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 41.48/41.86 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 41.48/41.86 , clause( 143984, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.86 Y, 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( 'c_in'( Y, Z, X
% 41.48/41.86 ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ] )
% 41.48/41.86 , clause( 143985, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.86 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( 'c_in'( Z, Y, X
% 41.48/41.86 ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 41.48/41.86 , clause( 143986, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 41.48/41.86 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 143987, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 41.48/41.86 , X, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 41.48/41.86 , clause( 143988, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 41.48/41.86 , Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 41.48/41.86 , clause( 143989, [ 'c_Finite__Set_Ofinite'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 41.48/41.86 , clause( 143990, [ 'c_Finite__Set_Ofinite'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 41.48/41.86 , clause( 143991, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 143992, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z
% 41.48/41.86 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.86 , clause( 143993, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ] )
% 41.48/41.86 , clause( 143994, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 41.48/41.86 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.86 , clause( 143995, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y
% 41.48/41.86 , 'tc_bool' ) ), Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 41.48/41.86 , clause( 143996, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 143997, [ 'c_Finite__Set_Ofinite'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.86 , clause( 143998, [ 'c_Finite__Set_Ofinite'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 41.48/41.86 , clause( 143999, [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T )
% 41.48/41.86 , T ), 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T )
% 41.48/41.86 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.86 , clause( 144000, [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T
% 41.48/41.86 ), T ), 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 41.48/41.86 , Z ) ), 'c_Fun_Oinj__on'( X, Y, Z, T ) ] )
% 41.48/41.86 , clause( 144001, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ),
% 41.48/41.86 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 41.48/41.86 Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144002, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' )
% 41.48/41.86 ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144003, [ 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 41.48/41.86 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 41.48/41.86 , 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144004, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U
% 41.48/41.86 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ] )
% 41.48/41.86 , clause( 144005, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 41.48/41.86 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144006, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z
% 41.48/41.86 , 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 41.48/41.86 , clause( 144007, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 41.48/41.86 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144008, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 41.48/41.86 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144009, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.86 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144010, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.86 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144011, [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144012, [ 'c_lessequals'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144013, [ 'c_lessequals'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144014, [ 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144015, [ 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144016, [ 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 41.48/41.86 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 41.48/41.86 , 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144017, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144018, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144019, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 Y, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144020, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144021, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144022, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144023, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144024, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144025, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144026, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.86 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool'
% 41.48/41.86 ) ), 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144027, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144028, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 144029, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.86 'c_lessequals'( 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 144030, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144031, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144032, [ 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144033, [ 'c_lessequals'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144034, [ 'c_lessequals'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144035, [ 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144036, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 41.48/41.86 , clause( 144037, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ),
% 41.48/41.86 'c_Set_Ovimage'( X, U, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.86 'c_lessequals'( Y, U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144038, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.86 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144039, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.86 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144040, [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 41.48/41.86 Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 41.48/41.86 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 41.48/41.86 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 41.48/41.86 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 41.48/41.86 , clause( 144041, [ 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ),
% 41.48/41.86 'tc_fun'( U, 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Set_Ovimage'( Y, X, T,
% 41.48/41.86 U ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Osurj'( Y, T, U ) ) ] )
% 41.48/41.86 , clause( 144042, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U,
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( hAPP( X,
% 41.48/41.86 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ) ), U, T
% 41.48/41.86 ) ) ] )
% 41.48/41.86 , clause( 144043, [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z
% 41.48/41.86 , T ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X
% 41.48/41.86 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144044, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 41.48/41.86 , clause( 144045, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 41.48/41.86 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ] )
% 41.48/41.86 , clause( 144046, [ =( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144047, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 144048, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 41.48/41.86 'c_lessequals'( Z, Y, X ) ) ] )
% 41.48/41.86 , clause( 144049, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 41.48/41.86 , clause( 144050, [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 41.48/41.86 X, 'tc_bool' ) ), Y ) ) ] )
% 41.48/41.86 , clause( 144051, [ =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( U, Y,
% 41.48/41.86 Z, T ) ), 'c_in'( 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, U
% 41.48/41.86 , Z, T ), Y, Z ) ] )
% 41.48/41.86 , clause( 144052, [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X,
% 41.48/41.86 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ] )
% 41.48/41.86 , clause( 144053, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 41.48/41.86 , X ) ) ), =( Y, Z ) ] )
% 41.48/41.86 , clause( 144054, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 41.48/41.86 , X ) ) ), =( Y, Z ) ] )
% 41.48/41.86 , clause( 144055, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 41.48/41.86 ) ) ) ), =( X, Z ) ] )
% 41.48/41.86 , clause( 144056, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 41.48/41.86 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ] )
% 41.48/41.86 , clause( 144057, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~(
% 41.48/41.86 'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 41.48/41.86 , clause( 144058, [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~(
% 41.48/41.86 'c_Map_Omap__le'( X, Y, Z, T ) ) ] )
% 41.48/41.86 , clause( 144059, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 41.48/41.86 , clause( 144060, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 144061, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 41.48/41.86 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 41.48/41.86 , clause( 144062, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 41.48/41.86 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 41.48/41.86 , clause( 144063, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 41.48/41.86 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 41.48/41.86 , clause( 144064, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 41.48/41.86 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 41.48/41.86 , clause( 144065, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 41.48/41.86 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 144066, [ 'c_Fun_Obij__betw'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W,
% 41.48/41.86 V0, U, T ), ~( 'c_Fun_Obij__betw'( X, V1, V0, Z, T ) ), ~(
% 41.48/41.86 'c_Fun_Obij__betw'( Y, W, V1, U, Z ) ) ] )
% 41.48/41.86 , clause( 144067, [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z
% 41.48/41.86 ), 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_in'( X, Y, Z ) ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.86 , clause( 144068, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ] )
% 41.48/41.86 , clause( 144069, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( X, 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 41.48/41.86 , clause( 144070, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 X, 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( X, Y ) ) ] )
% 41.48/41.86 , clause( 144071, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 'c_lessequals'(
% 41.48/41.86 Y, Z, X ) ] )
% 41.48/41.86 , clause( 144072, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 41.48/41.86 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 144073, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 41.48/41.86 , clause( 144074, [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X
% 41.48/41.86 , Z, T ), U ) ), U ), ~( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 144075, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), Y ) ) ] )
% 41.48/41.86 , clause( 144076, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), Y ) ) ] )
% 41.48/41.86 , clause( 144077, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 41.48/41.86 , clause( 144078, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), Y ) ) ] )
% 41.48/41.86 , clause( 144079, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 41.48/41.86 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 41.48/41.86 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 41.48/41.86 , clause( 144080, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 41.48/41.86 , clause( 144081, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 41.48/41.86 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ] )
% 41.48/41.86 , clause( 144082, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 144083, [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X
% 41.48/41.86 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T ), U, T ), U ) ) ] )
% 41.48/41.86 , clause( 144084, [ =( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 41.48/41.86 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), Z, Y, X ), X, Y ), Z ), ~( 'c_Fun_Obij'( Z, Y, X ) ) ]
% 41.48/41.86 )
% 41.48/41.86 , clause( 144085, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U
% 41.48/41.86 , V0, W ), 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 144086, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 144087, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 41.48/41.86 , clause( 144088, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 41.48/41.86 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144089, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144090, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 41.48/41.86 , clause( 144091, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 41.48/41.86 ~( 'c_in'( X, T, Z ) ) ] )
% 41.48/41.86 , clause( 144092, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 41.48/41.86 , 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 41.48/41.86 , clause( 144093, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 144094, [ 'c_Fun_Osurj'( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 41.48/41.86 , X ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 41.48/41.86 X, 'tc_bool' ) ), X, Z ) ) ] )
% 41.48/41.86 , clause( 144095, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 144096, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 144097, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144098, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 41.48/41.86 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 144099, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 41.48/41.86 , 'tc_bool' ) ), Z ) ) ] )
% 41.48/41.86 , clause( 144100, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 41.48/41.86 , 'tc_bool' ) ), T ) ) ] )
% 41.48/41.86 , clause( 144101, [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ] )
% 41.48/41.86 , clause( 144102, [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ] )
% 41.48/41.86 , clause( 144103, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 41.48/41.86 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 41.48/41.86 , Z ) ) ] )
% 41.48/41.86 , clause( 144104, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 41.48/41.86 , clause( 144105, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 41.48/41.86 , clause( 144106, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'(
% 41.48/41.86 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ), =( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 41.48/41.86 , clause( 144107, [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 41.48/41.86 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ] )
% 41.48/41.86 , clause( 144108, [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( hAPP(
% 41.48/41.86 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), X, Y, Z ), hAPP( X, T ) ), T ) ] )
% 41.48/41.86 , clause( 144109, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'(
% 41.48/41.86 X, Z, T ) ) ] )
% 41.48/41.86 , clause( 144110, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'(
% 41.48/41.86 X, Z, T ) ) ] )
% 41.48/41.86 , clause( 144111, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144112, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 41.48/41.86 'c_lessequals'( Y, Z, X ) ] )
% 41.48/41.86 , clause( 144113, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 41.48/41.86 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.86 , clause( 144114, [ =( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144115, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 41.48/41.86 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 41.48/41.86 , clause( 144116, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 41.48/41.86 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ] )
% 41.48/41.86 , clause( 144117, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'(
% 41.48/41.86 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ), =( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 41.48/41.86 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 41.48/41.86 , clause( 144118, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T
% 41.48/41.86 , 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X,
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ] )
% 41.48/41.86 , clause( 144119, [ 'c_in'( X, 'c_Set_Oinsert'( X,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ] )
% 41.48/41.86 , clause( 144120, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X
% 41.48/41.86 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144121, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W
% 41.48/41.86 , V0, V1, T, U ) ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2
% 41.48/41.86 ) ) ) ] )
% 41.48/41.86 , clause( 144122, [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) )
% 41.48/41.86 ) ), =( hAPP( 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP(
% 41.48/41.86 'c_Fun_Ocomp'( T, U, V3, V1, V4 ), W ) ) ] )
% 41.48/41.86 , clause( 144123, [ =( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 41.48/41.86 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144124, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T
% 41.48/41.86 ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 41.48/41.86 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 41.48/41.86 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144125, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 41.48/41.86 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 41.48/41.86 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 41.48/41.86 T, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144126, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 41.48/41.86 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 41.48/41.86 Y, X ) ) ] )
% 41.48/41.86 , clause( 144127, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 41.48/41.86 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 41.48/41.86 , clause( 144128, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 41.48/41.86 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 41.48/41.86 , clause( 144129, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 41.48/41.86 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 41.48/41.86 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 41.48/41.86 , clause( 144130, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 41.48/41.86 Y, Z, 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 41.48/41.86 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 41.48/41.86 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.86 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ] )
% 41.48/41.86 , clause( 144131, [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'(
% 41.48/41.86 X, Y, T ) ) ] )
% 41.48/41.86 , clause( 144132, [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'(
% 41.48/41.86 X, Y, T ) ) ] )
% 41.48/41.86 , clause( 144133, [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T )
% 41.48/41.86 , T ), 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 144134, [ hBOOL( hAPP(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 41.48/41.86 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( hAPP( X, T )
% 41.48/41.86 ) ) ] )
% 41.48/41.86 , clause( 144135, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 41.48/41.86 ), =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 41.48/41.86 , X ), X ), X ) ) ] )
% 41.48/41.86 , clause( 144136, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 144137, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 41.48/41.86 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 144138, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 41.48/41.86 , X ) ) ] )
% 41.48/41.86 , clause( 144139, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 41.48/41.86 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.86 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 41.48/41.86 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 41.48/41.86 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.86 ) ] )
% 41.48/41.86 , clause( 144140, [ 'c_Fun_Obij'( 'c_Hilbert__Choice_Oinv__into'(
% 41.48/41.86 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 41.48/41.86 , X ), ~( 'c_Fun_Obij'( Y, X, Z ) ) ] )
% 41.48/41.86 , clause( 144141, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 41.48/41.86 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.86 , clause( 144142, [ =( 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X,
% 41.48/41.86 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 41.48/41.86 Y, 'tc_bool' ) ), Z, Y, T ), Y, U, T ), Z, T, U, Y ), X ), ~(
% 41.48/41.86 'c_Fun_Oinj__on'( Z, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 41.48/41.86 'tc_bool' ) ), Y, T ) ) ] )
% 41.48/41.86 , clause( 144143, [ 'c_in'( hAPP( X, Y ),
% 41.48/41.86 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, 'tc_fun'( T, 'tc_bool' )
% 41.48/41.86 ), T ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), hAPP( Z,
% 41.48/41.86 'c_Set_Oimage'( X, U, W, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_in'(
% 41.48/41.87 Y, U, W ) ) ] )
% 41.48/41.87 , clause( 144144, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U,
% 41.48/41.87 'tc_fun'( T, 'tc_bool' ) ), 'c_in'(
% 41.48/41.87 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ), Y
% 41.48/41.87 , Z ) ] )
% 41.48/41.87 , clause( 144145, [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y
% 41.48/41.87 , Z, T ), U, T, Z ), ~( 'c_lessequals'( U, 'c_Set_Oimage'( Y, X, Z, T ),
% 41.48/41.87 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144146, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U,
% 41.48/41.87 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z
% 41.48/41.87 , T ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ] )
% 41.48/41.87 , clause( 144147, [ 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ),
% 41.48/41.87 'tc_fun'( U, 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Set_Ovimage'( Y, X, T,
% 41.48/41.87 U ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Obij'( Y, T, U ) ) ] )
% 41.48/41.87 , clause( 144148, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 41.48/41.87 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oimage'(
% 41.48/41.87 X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z, T )
% 41.48/41.87 , 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_Fun_Osurj'( X, Z, T ) ) ] )
% 41.48/41.87 , clause( 144149, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 41.48/41.87 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 41.48/41.87 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 41.48/41.87 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 41.48/41.87 )
% 41.48/41.87 , clause( 144150, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.87 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 41.48/41.87 ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 41.48/41.87 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 41.48/41.87 , clause( 144151, [ =( 'c_Set_Oimage'( X,
% 41.48/41.87 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 41.48/41.87 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.87 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 41.48/41.87 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ),
% 41.48/41.87 ~( 'c_lessequals'( Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 41.48/41.87 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 41.48/41.87 , clause( 144152, [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y
% 41.48/41.87 , Z, T ), 'c_Set_Oimage'( Y, U, Z, T ), T, Z ), U ), ~( 'c_lessequals'( U
% 41.48/41.87 , X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ]
% 41.48/41.87 )
% 41.48/41.87 , clause( 144153, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U,
% 41.48/41.87 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_in'( hAPP( X,
% 41.48/41.87 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ) ),
% 41.48/41.87 U, T ) ) ] )
% 41.48/41.87 , clause( 144154, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U,
% 41.48/41.87 'tc_fun'( T, 'tc_bool' ) ), 'c_in'(
% 41.48/41.87 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ), Y, Z )
% 41.48/41.87 ] )
% 41.48/41.87 , clause( 144155, [ =( 'c_Set_Oimage'( X,
% 41.48/41.87 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 41.48/41.87 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 41.48/41.87 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144156, [ ~( =( hAPP( X,
% 41.48/41.87 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, Z, T, U ) ), hAPP( Z
% 41.48/41.87 , 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, Z, T, U ) ) ) ),
% 41.48/41.87 =( 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( Z, Y, T, U ) ) ] )
% 41.48/41.87 , clause( 144157, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 41.48/41.87 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 41.48/41.87 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144158, [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U
% 41.48/41.87 , T ), 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ] )
% 41.48/41.87 , clause( 144159, [ =( 'c_Set_Oimage'( X, Y, Z, T ), U ), ~(
% 41.48/41.87 'c_Fun_Obij__betw'( X, Y, U, Z, T ) ) ] )
% 41.48/41.87 , clause( 144160, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U
% 41.48/41.87 ), 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ]
% 41.48/41.87 )
% 41.48/41.87 , clause( 144161, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 41.48/41.87 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144162, [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ] )
% 41.48/41.87 , clause( 144163, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.87 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 41.48/41.87 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144164, [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ]
% 41.48/41.87 )
% 41.48/41.87 , clause( 144165, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.87 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ] )
% 41.48/41.87 , clause( 144166, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ),
% 41.48/41.87 'c_Set_Oimage'( T, Y, Z, U ), U ) ] )
% 41.48/41.87 , clause( 144167, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ),
% 41.48/41.87 'c_Set_Oimage'( T, Y, Z, U ), U ) ] )
% 41.48/41.87 , clause( 144168, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 41.48/41.87 , ~( 'c_in'( Y, Z, T ) ) ] )
% 41.48/41.87 , clause( 144169, [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U )
% 41.48/41.87 , ~( 'c_in'( Y, Z, T ) ) ] )
% 41.48/41.87 , clause( 144170, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 41.48/41.87 hAPP( 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'(
% 41.48/41.87 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 41.48/41.87 , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 41.48/41.87 ~( 'c_Com_OWT'( Y ) ), 'c_in'( 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'(
% 41.48/41.87 X ), 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 41.48/41.87 'tc_Com_Opname' ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 41.48/41.87 , clause( 144171, [ 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 41.48/41.87 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.87 'tc_Com_Ostate' ), 'tc_bool' ) ), 'c_Set_Oinsert'( hAPP(
% 41.48/41.87 'c_Hoare__Mirabelle_OMGT', X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 41.48/41.87 ~( 'c_Com_OWT'( X ) ), ~( 'c_Com_OWT__bodies' ), ~(
% 41.48/41.87 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 41.48/41.87 , clause( 144172, [ 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z
% 41.48/41.87 ), ~( 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 41.48/41.87 'c_Com_Obody', X ) ), Y, Z ) ) ] )
% 41.48/41.87 , clause( 144173, [ 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'(
% 41.48/41.87 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ), Y, Z ), ~(
% 41.48/41.87 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z ) ) ] )
% 41.48/41.87 , clause( 144174, [ =( hAPP( 'c_Option_Othe'( X ), 'c_Option_Ooption_OSome'(
% 41.48/41.87 Y, X ) ), Y ) ] )
% 41.48/41.87 , clause( 144175, [ ~( =( hAPP( 'c_Com_Obody', X ),
% 41.48/41.87 'c_Option_Ooption_OSome'( Y, 'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies'
% 41.48/41.87 ), 'c_Com_OWT'( Y ) ] )
% 41.48/41.87 , clause( 144176, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X
% 41.48/41.87 ), X ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 41.48/41.87 , clause( 144177, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 41.48/41.87 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 41.48/41.87 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.87 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144178, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 41.48/41.87 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 41.48/41.87 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 41.48/41.87 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144179, [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 41.48/41.87 Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), ~(
% 41.48/41.87 'c_Finite__Set_Ofinite'( X, Y ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( U,
% 41.48/41.87 Z, T, Y ), X, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T
% 41.48/41.87 , Y ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T
% 41.48/41.87 , 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( W, X, Y, T ) ) ] )
% 41.48/41.87 , clause( 144180, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 41.48/41.87 'c_lessequals'( Y, T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 41.48/41.87 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ] )
% 41.48/41.87 , clause( 144181, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 41.48/41.87 'c_lessequals'( T, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 41.48/41.87 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 41.48/41.87 , clause( 144182, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 41.48/41.87 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144183, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 41.48/41.87 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 41.48/41.87 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 41.48/41.87 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 41.48/41.87 ] )
% 41.48/41.87 , clause( 144184, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 41.48/41.87 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 41.48/41.87 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 41.48/41.87 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 41.48/41.87 ) ), X ) ) ] )
% 41.48/41.87 , clause( 144185, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.87 , ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 41.48/41.87 , clause( 144186, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 41.48/41.87 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.87 ) ] )
% 41.48/41.87 , clause( 144187, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ] )
% 41.48/41.87 , clause( 144188, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 41.48/41.87 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144189, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 41.48/41.87 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144190, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 41.48/41.87 ) ) ] )
% 41.48/41.87 , clause( 144191, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 41.48/41.87 ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.87 , clause( 144192, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 41.48/41.87 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 41.48/41.87 ] )
% 41.48/41.87 , clause( 144193, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 41.48/41.87 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 41.48/41.87 , clause( 144194, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z
% 41.48/41.87 , X ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144195, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 41.48/41.87 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.87 , clause( 144196, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 41.48/41.87 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 41.48/41.87 ) ) ) ] )
% 41.48/41.87 , clause( 144197, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 Y, Z, X ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144198, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 Y, Z, X ), 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 41.48/41.87 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144199, [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 41.48/41.87 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 41.48/41.87 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 41.48/41.87 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ] )
% 41.48/41.87 , clause( 144200, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z
% 41.48/41.87 , X, Y, T ) ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ),
% 41.48/41.87 T ) ) ] )
% 41.48/41.87 , clause( 144201, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 41.48/41.87 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 41.48/41.87 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 41.48/41.87 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 41.48/41.87 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 41.48/41.87 , clause( 144202, [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X,
% 41.48/41.87 Y, Z, T ), Z, T ), Y, 'tc_fun'( T, 'tc_bool' ) ) ] )
% 41.48/41.87 , clause( 144203, [ 'c_lessequals'(
% 41.48/41.87 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( X, Y, Z, T, U ), X
% 41.48/41.87 , 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X
% 41.48/41.87 , T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144204, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ),
% 41.48/41.87 ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144205, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 41.48/41.87 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T,
% 41.48/41.87 'tc_bool' ) ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U,
% 41.48/41.87 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ] )
% 41.48/41.87 , clause( 144206, [ =( X, 'c_Set_Oimage'( Y,
% 41.48/41.87 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( Z, X, Y, T, U ), T
% 41.48/41.87 , U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U
% 41.48/41.87 , 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144207, [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Map_Omap__of'(
% 41.48/41.87 X, Y, Z ), Y, Z ), Y ) ] )
% 41.48/41.87 , clause( 144208, [ 'c_lessequals'( 'c_Map_Odom'( X, Y, Z ), 'c_Map_Odom'(
% 41.48/41.87 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_Map_Omap__le'( X, T, Y, Z )
% 41.48/41.87 ) ] )
% 41.48/41.87 , clause( 144209, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'(
% 41.48/41.87 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 41.48/41.87 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.87 'tc_Com_Ostate' ), ~( 'c_Finite__Set_Ofinite'( Y, 'tc_Com_Opname' ) ),
% 41.48/41.87 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 41.48/41.87 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 41.48/41.87 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 41.48/41.87 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.87 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 41.48/41.87 , 'c_Set_Oimage'( 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'(
% 41.48/41.87 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'(
% 41.48/41.87 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom',
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 41.48/41.87 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.87 'tc_Com_Ostate' ) ) ] )
% 41.48/41.87 , clause( 144210, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X,
% 41.48/41.87 Y, Z, T, U ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) )
% 41.48/41.87 , U, T ), T ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y,
% 41.48/41.87 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 41.48/41.87 ] )
% 41.48/41.87 , clause( 144211, [ 'c_lessequals'(
% 41.48/41.87 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 41.48/41.87 , T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 41.48/41.87 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 41.48/41.87 'c_Finite__Set_Ofinite'( Y, U ) ) ] )
% 41.48/41.87 , clause( 144212, [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~(
% 41.48/41.87 'c_Fun_Oinj__on'( X, Y, Z, Z ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y
% 41.48/41.87 , Z, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 41.48/41.87 , Z ) ) ] )
% 41.48/41.87 , clause( 144213, [ 'c_Finite__Set_Ofinite'(
% 41.48/41.87 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 41.48/41.87 , T, U ), T ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X, T, U ),
% 41.48/41.87 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ] )
% 41.48/41.87 , clause( 144214, [ =( X, 'c_Set_Oimage'( Y,
% 41.48/41.87 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 41.48/41.87 , T, U ), T, U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ),
% 41.48/41.87 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, U ) ) ] )
% 41.48/41.87 , clause( 144215, [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y,
% 41.48/41.87 'c_Set_Oimage'( X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 41.48/41.87 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.87 , clause( 144216, [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ] )
% 41.48/41.87 , clause( 144217, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 41.48/41.87 , clause( 144218, [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 41.48/41.87 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 41.48/41.87 ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 41.48/41.87 , clause( 144219, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 41.48/41.87 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 41.48/41.87 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144220, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 41.48/41.87 Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ]
% 41.48/41.87 )
% 41.48/41.87 , clause( 144221, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X,
% 41.48/41.87 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 41.48/41.87 , clause( 144222, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 41.48/41.87 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 41.48/41.87 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144223, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 Y, Y, X ) ] )
% 41.48/41.87 , clause( 144224, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 41.48/41.87 Y, X ) ] )
% 41.48/41.87 , clause( 144225, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 41.48/41.87 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144226, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 41.48/41.87 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 41.48/41.87 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 41.48/41.87 , clause( 144227, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 41.48/41.87 , clause( 144228, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 41.48/41.87 , clause( 144229, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 41.48/41.87 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 41.48/41.87 ] )
% 41.48/41.87 , clause( 144230, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 41.48/41.87 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 41.48/41.87 )
% 41.48/41.87 , clause( 144231, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U,
% 41.48/41.87 W ), 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 41.48/41.87 , clause( 144232, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ),
% 41.48/41.87 T ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.87 , clause( 144233, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 41.48/41.87 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 41.48/41.87 , clause( 144234, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 41.48/41.87 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.87 , clause( 144235, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 41.48/41.87 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 41.48/41.87 , clause( 144236, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 41.48/41.87 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 41.48/41.87 )
% 41.48/41.87 , clause( 144237, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 41.48/41.87 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 41.48/41.87 )
% 41.48/41.87 , clause( 144238, [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y )
% 41.48/41.87 ] )
% 41.48/41.87 , clause( 144239, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 41.48/41.87 'c_Set_Oimage'( Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 41.48/41.87 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 41.48/41.87 , clause( 144240, [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP(
% 41.48/41.87 Y, W ) ) ) ] )
% 41.48/41.87 , clause( 144241, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 41.48/41.87 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 41.48/41.87 , clause( 144242, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z
% 41.48/41.87 ), hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 41.48/41.87 , clause( 144243, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 41.48/41.87 , clause( 144244, [ 'c_Com_OWT__bodies' ] )
% 41.48/41.87 , clause( 144245, [ 'c_lessequals'( 'v_F', 'c_Set_Oimage'( 'c_COMBB'(
% 41.48/41.87 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 41.48/41.87 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 41.48/41.87 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.87 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_fun'(
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ] )
% 41.48/41.87 , clause( 144246, [ ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'(
% 41.48/41.87 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 41.48/41.87 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 41.48/41.87 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.87 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ] )
% 41.48/41.87 , clause( 144247, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'(
% 41.48/41.87 X, Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 41.48/41.87 , clause( 144248, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y )
% 41.48/41.87 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 41.48/41.87 , clause( 144249, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 41.48/41.87 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 41.48/41.87 , clause( 144250, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) )
% 41.48/41.87 , ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 41.48/41.87 , clause( 144251, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) )
% 41.48/41.87 , ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 41.48/41.87 , clause( 144252, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) )
% 41.48/41.87 , ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 41.48/41.87 , clause( 144253, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) )
% 41.48/41.87 , ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 41.48/41.87 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 41.48/41.87 , clause( 144254, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 41.48/41.87 'class_Orderings_Opreorder'( Y ) ) ] )
% 41.48/41.87 , clause( 144255, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 41.48/41.87 'class_Lattices_Olattice'( Y ) ) ] )
% 41.48/41.87 , clause( 144256, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 41.48/41.87 'class_Orderings_Oorder'( Y ) ) ] )
% 41.48/41.87 , clause( 144257, [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~(
% 41.48/41.87 'class_Orderings_Otop'( Y ) ) ] )
% 41.48/41.87 , clause( 144258, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 41.48/41.87 'class_Orderings_Obot'( Y ) ) ] )
% 41.48/41.87 , clause( 144259, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~(
% 41.48/41.87 'class_HOL_Oord'( Y ) ) ] )
% 41.48/41.87 , clause( 144260, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 41.48/41.87 , clause( 144261, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 41.48/41.87 , clause( 144262, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 41.48/41.87 , clause( 144263, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 41.48/41.87 , clause( 144264, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 41.48/41.87 , clause( 144265, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 41.48/41.87 , clause( 144266, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 41.48/41.87 , clause( 144267, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 41.48/41.87 , clause( 144268, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 41.48/41.87 , clause( 144269, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool'
% 41.48/41.87 ) ] )
% 41.48/41.87 , clause( 144270, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144271, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144272, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144273, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144274, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144275, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144276, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144277, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144278, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144279, [ 'class_Orderings_Otop'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144280, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144281, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 41.48/41.87 , clause( 144282, [ 'class_Finite__Set_Ofinite_Ofinite'(
% 41.48/41.87 'tc_Option_Ooption'( X ) ), ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) )
% 41.48/41.87 ] )
% 41.48/41.87 , clause( 144283, [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y
% 41.48/41.87 ) ) ] )
% 41.48/41.87 , clause( 144284, [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP(
% 41.48/41.87 Y, W ) ) ) ] )
% 41.48/41.87 , clause( 144285, [ 'c_fequal'( X, X, Y ) ] )
% 41.48/41.87 , clause( 144286, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 41.48/41.87 ] ).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 subsumption(
% 41.48/41.87 clause( 438, [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T )
% 41.48/41.87 , 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ] )
% 41.48/41.87 , clause( 144158, [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U
% 41.48/41.87 , T ), 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ] )
% 41.48/41.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 41.48/41.87 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 subsumption(
% 41.48/41.87 clause( 491, [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ] )
% 41.48/41.87 , clause( 144216, [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ] )
% 41.48/41.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 subsumption(
% 41.48/41.87 clause( 502, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 41.48/41.87 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 41.48/41.87 , clause( 144231, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U,
% 41.48/41.87 W ), 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 41.48/41.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 41.48/41.87 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 subsumption(
% 41.48/41.87 clause( 503, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 41.48/41.87 ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.87 , clause( 144232, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ),
% 41.48/41.87 T ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 41.48/41.87 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 subsumption(
% 41.48/41.87 clause( 514, [ ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'(
% 41.48/41.87 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 41.48/41.87 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 41.48/41.87 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.87 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ] )
% 41.48/41.87 , clause( 144246, [ ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'(
% 41.48/41.87 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 41.48/41.87 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 41.48/41.87 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.87 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ] )
% 41.48/41.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 eqswap(
% 41.48/41.87 clause( 146422, [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W )
% 41.48/41.87 , 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ) ) ] )
% 41.48/41.87 , clause( 502, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W )
% 41.48/41.87 , 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 41.48/41.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 41.48/41.87 :=( U, U ), :=( W, W )] )).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 eqswap(
% 41.48/41.87 clause( 146423, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T
% 41.48/41.87 ), 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ) ) ] )
% 41.48/41.87 , clause( 438, [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T
% 41.48/41.87 ), 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ] )
% 41.48/41.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 41.48/41.87 :=( U, U ), :=( W, W )] )).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 paramod(
% 41.48/41.87 clause( 146429, [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), W, U, T )
% 41.48/41.87 , 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ) ) ] )
% 41.48/41.87 , clause( 146423, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z,
% 41.48/41.87 T ), 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ) ) ] )
% 41.48/41.87 , 0, clause( 146422, [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T
% 41.48/41.87 , W ), 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ) ) ] )
% 41.48/41.87 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )
% 41.48/41.87 , :=( U, U ), :=( W, W )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 41.48/41.87 :=( Z, W ), :=( T, U ), :=( U, Z ), :=( W, T )] )).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 subsumption(
% 41.48/41.87 clause( 138623, [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W )
% 41.48/41.87 , 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 41.48/41.87 , clause( 146429, [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), W, U, T
% 41.48/41.87 ), 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ) ) ] )
% 41.48/41.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, W ), :=( U
% 41.48/41.87 , T ), :=( W, Z )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 resolution(
% 41.48/41.87 clause( 146444, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, 'c_Map_Odom'(
% 41.48/41.87 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname', Y ), Y
% 41.48/41.87 ) ] )
% 41.48/41.87 , clause( 503, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T )
% 41.48/41.87 , ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 41.48/41.87 , 1, clause( 491, [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ] )
% 41.48/41.87 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ) ), :=( Z, 'tc_Com_Opname' ), :=( T, Y )] )
% 41.48/41.87 , substitution( 1, [] )).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 subsumption(
% 41.48/41.87 clause( 138955, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, 'c_Map_Odom'(
% 41.48/41.87 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname', Y ), Y
% 41.48/41.87 ) ] )
% 41.48/41.87 , clause( 146444, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X,
% 41.48/41.87 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 41.48/41.87 'tc_Com_Opname', Y ), Y ) ] )
% 41.48/41.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 41.48/41.87 )] ) ).
% 41.48/41.87
% 41.48/41.87
% 41.48/41.87 paramod(
% 41.48/41.87 clause( 146446, [ ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_Fun_Ocomp'(
% 41.48/41.87 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 41.48/41.87 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 41.48/41.87 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.87 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ] )
% 41.48/41.87 , clause( 138623, [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W
% 41.48/41.87 ), 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 41.48/41.87 , 0, clause( 514, [ ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'(
% 41.48/41.87 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 41.48/41.87 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 41.48/41.87 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.87 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 41.48/41.87 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.87 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ] )
% 41.48/41.87 , 0, 2, substitution( 0, [ :=( X, 'c_Hoare__Mirabelle_OMGT' ), :=( Y,
% 41.48/41.88 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 41.48/41.88 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ) )
% 41.48/41.88 , :=( Z, 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ) )
% 41.48/41.88 , :=( T, 'tc_Com_Opname' ), :=( U, 'tc_Com_Ocom' ), :=( W,
% 41.48/41.88 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) )] ), substitution( 1, [] )
% 41.48/41.88 ).
% 41.48/41.88
% 41.48/41.88
% 41.48/41.88 resolution(
% 41.48/41.88 clause( 146447, [] )
% 41.48/41.88 , clause( 146446, [ ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'(
% 41.48/41.88 'c_Fun_Ocomp'( 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'(
% 41.48/41.88 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ),
% 41.48/41.88 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom',
% 41.48/41.88 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ),
% 41.48/41.88 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 41.48/41.88 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 41.48/41.88 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ] )
% 41.48/41.88 , 0, clause( 138955, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X,
% 41.48/41.88 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 41.48/41.88 'tc_Com_Opname', Y ), Y ) ] )
% 41.48/41.88 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Fun_Ocomp'(
% 41.48/41.88 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 41.48/41.88 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 41.48/41.88 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 41.48/41.88 'tc_Com_Ostate' ), 'tc_Com_Opname' ) ), :=( Y,
% 41.48/41.88 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) )] )).
% 41.48/41.88
% 41.48/41.88
% 41.48/41.88 subsumption(
% 41.48/41.88 clause( 143659, [] )
% 41.48/41.88 , clause( 146447, [] )
% 41.48/41.88 , substitution( 0, [] ), permutation( 0, [] ) ).
% 41.48/41.88
% 41.48/41.88
% 41.48/41.88 end.
% 41.48/41.88
% 41.48/41.88 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 41.48/41.88
% 41.48/41.88 Memory use:
% 41.48/41.88
% 41.48/41.88 space for terms: 4107626
% 41.48/41.88 space for clauses: 7273056
% 41.48/41.88
% 41.48/41.88
% 41.48/41.88 clauses generated: 830590
% 41.48/41.88 clauses kept: 143660
% 41.48/41.88 clauses selected: 2102
% 41.48/41.88 clauses deleted: 2195
% 41.48/41.88 clauses inuse deleted: 102
% 41.48/41.88
% 41.48/41.88 subsentry: 3906049
% 41.48/41.88 literals s-matched: 2534567
% 41.48/41.88 literals matched: 2353089
% 41.48/41.88 full subsumption: 1543678
% 41.48/41.88
% 41.48/41.88 checksum: -2097217516
% 41.48/41.88
% 41.48/41.88
% 41.48/41.88 Bliksem ended
%------------------------------------------------------------------------------