TSTP Solution File: SWV835-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV835-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:45 EDT 2022
% Result : Unsatisfiable 0.89s 1.31s
% Output : Refutation 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV835-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 19:14:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.89/1.30 *** allocated 10000 integers for termspace/termends
% 0.89/1.30 *** allocated 10000 integers for clauses
% 0.89/1.30 *** allocated 10000 integers for justifications
% 0.89/1.30 *** allocated 15000 integers for termspace/termends
% 0.89/1.30 Bliksem 1.12
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 Automatic Strategy Selection
% 0.89/1.30
% 0.89/1.30 Clauses:
% 0.89/1.30 [
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.89/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, Z, T
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.89/1.30 Y, Z ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.89/1.30 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 0.89/1.30 Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ) ) ],
% 0.89/1.30 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.89/1.30 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.89/1.30 , U ) ) ) ],
% 0.89/1.30 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.89/1.30 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.89/1.30 =( Y, Z ) ],
% 0.89/1.30 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.89/1.30 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.89/1.30 =( Y, Z ) ],
% 0.89/1.30 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.89/1.30 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.89/1.30 U, W ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.30 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 0.89/1.30 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.89/1.30 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.89/1.30 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.30 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.89/1.30 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.30 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.30 , X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.89/1.30 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.30 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T, X
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Set_Oinsert'( Z, T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.30 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 0.89/1.30 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.30 ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.30 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.30 , T ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.30 , T ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.89/1.30 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.89/1.30 ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( 'c_in'( T, Y, X ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.30 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.89/1.30 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.89/1.30 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.89/1.30 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.89/1.30 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.30 hBOOL( 'c_in'( Z, 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), X ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.89/1.30 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.89/1.30 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.89/1.30 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.89/1.30 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.30 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.30 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ), X ), X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.89/1.30 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), U ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.89/1.30 Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.30 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.30 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.30 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z, T ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z, T ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.89/1.30 , Z ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ) ), T ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ), Y ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ), Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ), Y ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.30 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.89/1.30 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.30 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.30 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.30 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.30 hBOOL( 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.89/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.89/1.30 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.89/1.30 T ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.30 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.89/1.30 X, T ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y
% 0.89/1.30 ), Z ) ), ~( hBOOL( 'c_in'( Z, 'c_SetInterval_Oord__class_OatLeast'( Y,
% 0.89/1.30 X ), X ) ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 , 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.30 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.30 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Map_Orestrict__map'( X, Y, Z, T ), U ),
% 0.89/1.30 'c_Option_Ooption_ONone'( T ) ), hBOOL( 'c_in'( U, Y, Z ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.89/1.30 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.89/1.30 Y, Z ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.89/1.30 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ],
% 0.89/1.30 [ =( 'c_Map_Orestrict__map'( 'c_Map_Orestrict__map'( X, Y, Z, T ), U, Z
% 0.89/1.30 , T ), 'c_Map_Orestrict__map'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, U, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z, T ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.30 , X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 0.89/1.30 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.89/1.30 Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), hBOOL( 'c_in'( T, Y, X ) ), hBOOL( 'c_in'( T, Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_Set_Oinsert'( T, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), X ), Z ) ) ), hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y
% 0.89/1.30 , Z, T ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.89/1.30 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y
% 0.89/1.30 ), Z ) ), ~( hBOOL( 'c_in'( Y, 'c_SetInterval_Oord__class_OatMost'( Z, X
% 0.89/1.30 ), X ) ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.89/1.30 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.30 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.89/1.30 T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.30 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ), Y ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.89/1.30 ), Y ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.89/1.30 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ) ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.89/1.30 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.89/1.30 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ) ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.30 X ) ), Y ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.30 X ) ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.89/1.30 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.89/1.30 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.89/1.30 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Z ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Y ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.30 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.30 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.30 , Z, X ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.89/1.30 , Y, X ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.30 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.30 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.30 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.30 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.30 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ), Y ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y, Z ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.30 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.30 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.30 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 Y, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X )
% 0.89/1.30 , 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.30 ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X
% 0.89/1.30 ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Y, X ) ), Z ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 0.89/1.30 'tc_fun'( Y, X ) ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.89/1.30 T, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, X ) ), Z ), Y )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, X ) ), Y ), Z ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Y, X ) ), Z ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 0.89/1.30 'tc_fun'( Y, X ) ) ) ],
% 0.89/1.30 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.89/1.30 Y ) ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.89/1.30 Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), X ), Y ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 0.89/1.30 Y ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ), T ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.89/1.30 Z ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), T ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), T ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ), =( Z, Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), X ), Z ) ) ), hBOOL( 'c_in'( Y, X, T ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Map_Orestrict__map'( X, Y, Z, T ), U ), hAPP( X, U ) ),
% 0.89/1.30 ~( hBOOL( 'c_in'( U, Y, Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 0.89/1.30 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.89/1.30 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.89/1.30 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.89/1.30 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.89/1.30 Y, 'v_x' ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.89/1.30 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), Z ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), T ) ) ],
% 0.89/1.30 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.89/1.30 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.89/1.30 'c_in'( X, Y, Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.89/1.30 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.30 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.89/1.30 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T,
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.89/1.30 X, Z, T ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.89/1.30 X, Z, T ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.30 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.89/1.30 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.89/1.30 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.89/1.30 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.89/1.30 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.89/1.30 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.89/1.30 , V4 ), W ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.89/1.30 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 0.89/1.30 Y, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.89/1.30 X, T, U ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.89/1.30 hAPP( X, U ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 0.89/1.30 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.89/1.30 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.89/1.30 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( X, T ) ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.30 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 0.89/1.30 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ),
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z
% 0.89/1.30 , X ) ) ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ) ],
% 0.89/1.30 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.89/1.30 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.89/1.30 Z ) ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( hBOOL( hAPP( Z,
% 0.89/1.30 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( Y, Z, X ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ), Z ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ), Y ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), X ), Y ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Y ), X ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), U ), Z ) )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.89/1.30 , T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Set_Oinsert'( Z, Y, X ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Y ), X ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Ovimage'( Y, Z, X, T ) ), 'c_Set_Ovimage'( Y, U, X, T ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.89/1.30 ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.89/1.30 ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), hBOOL( hAPP( Y, 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'(
% 0.89/1.30 Y, Z, X ) ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Map_Orestrict__map'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a', Y ), 'v_x' ),
% 0.89/1.30 'c_Option_Ooption_ONone'( Y ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.89/1.30 , 'v_x' ) ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.89/1.30 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.89/1.30 X, 'v_x' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 0.89/1.30 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 0.89/1.30 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Obot'( X ) ), 'c_Orderings_Obot__axioms'(
% 0.89/1.30 'c_lessequals'( X ), 'c_Orderings_Obot__class_Obot'( X ), X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.30 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X )
% 0.89/1.30 , hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Z, T, Y, X )
% 0.89/1.30 ) ), hAPP( T, 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Z, T, Y
% 0.89/1.30 , X ) ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X )
% 0.89/1.30 , hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Z, T, Y
% 0.89/1.30 , X ) ) ), hAPP( T, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'(
% 0.89/1.30 Z, T, Y, X ) ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X )
% 0.89/1.30 ), 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.30 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.30 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) )
% 0.89/1.30 , 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Z,
% 0.89/1.30 X ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X )
% 0.89/1.30 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.30 T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.30 Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ) ),
% 0.89/1.30 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ],
% 0.89/1.30 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.89/1.30 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.30 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.89/1.30 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 0.89/1.30 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.89/1.30 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.89/1.30 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.30 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.30 Z ), Y ) ) ],
% 0.89/1.30 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.89/1.30 ), Y ), T ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Y ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 0.89/1.30 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), Y ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.89/1.30 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.89/1.30 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.89/1.30 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.89/1.30 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Z ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), Y ) ) ) ],
% 0.89/1.30 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.30 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.89/1.30 ), Y ), X ) ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.30 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.30 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.89/1.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 'v_G' ), 'v_x' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_x',
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.30 't_a' ), 'tc_bool' ) ), 't_a' ) ) ],
% 0.89/1.30 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.89/1.30 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.89/1.30 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.89/1.30 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.30 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.89/1.30 Y ) ) ],
% 0.89/1.30 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.30 Y ) ) ],
% 0.89/1.30 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 0.89/1.31 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.89/1.31 [ 'c_fequal'( X, X, Y ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.89/1.31 ] .
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 percentage equality = 0.266558, percentage horn = 0.905380
% 0.89/1.31 This is a problem with some equality
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 Options Used:
% 0.89/1.31
% 0.89/1.31 useres = 1
% 0.89/1.31 useparamod = 1
% 0.89/1.31 useeqrefl = 1
% 0.89/1.31 useeqfact = 1
% 0.89/1.31 usefactor = 1
% 0.89/1.31 usesimpsplitting = 0
% 0.89/1.31 usesimpdemod = 5
% 0.89/1.31 usesimpres = 3
% 0.89/1.31
% 0.89/1.31 resimpinuse = 1000
% 0.89/1.31 resimpclauses = 20000
% 0.89/1.31 substype = eqrewr
% 0.89/1.31 backwardsubs = 1
% 0.89/1.31 selectoldest = 5
% 0.89/1.31
% 0.89/1.31 litorderings [0] = split
% 0.89/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.31
% 0.89/1.31 termordering = kbo
% 0.89/1.31
% 0.89/1.31 litapriori = 0
% 0.89/1.31 termapriori = 1
% 0.89/1.31 litaposteriori = 0
% 0.89/1.31 termaposteriori = 0
% 0.89/1.31 demodaposteriori = 0
% 0.89/1.31 ordereqreflfact = 0
% 0.89/1.31
% 0.89/1.31 litselect = negord
% 0.89/1.31
% 0.89/1.31 maxweight = 15
% 0.89/1.31 maxdepth = 30000
% 0.89/1.31 maxlength = 115
% 0.89/1.31 maxnrvars = 195
% 0.89/1.31 excuselevel = 1
% 0.89/1.31 increasemaxweight = 1
% 0.89/1.31
% 0.89/1.31 maxselected = 10000000
% 0.89/1.31 maxnrclauses = 10000000
% 0.89/1.31
% 0.89/1.31 showgenerated = 0
% 0.89/1.31 showkept = 0
% 0.89/1.31 showselected = 0
% 0.89/1.31 showdeleted = 0
% 0.89/1.31 showresimp = 1
% 0.89/1.31 showstatus = 2000
% 0.89/1.31
% 0.89/1.31 prologoutput = 1
% 0.89/1.31 nrgoals = 5000000
% 0.89/1.31 totalproof = 1
% 0.89/1.31
% 0.89/1.31 Symbols occurring in the translation:
% 0.89/1.31
% 0.89/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.31 . [1, 2] (w:1, o:94, a:1, s:1, b:0),
% 0.89/1.31 ! [4, 1] (w:0, o:60, a:1, s:1, b:0),
% 0.89/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.31 'tc_bool' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.89/1.31 'tc_fun' [42, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus' [43, 2] (w:1, o:120, a:1, s:1, b:0),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup' [44, 3] (w:1, o:130, a:1
% 0.89/1.31 , s:1, b:0),
% 0.89/1.31 'c_Orderings_Otop__class_Otop' [45, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf' [47, 3] (w:1, o:131, a:1
% 0.89/1.31 , s:1, b:0),
% 0.89/1.31 'class_Orderings_Oorder' [49, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost' [51, 3] (w:1, o:132, a:1
% 0.89/1.31 , s:1, b:0),
% 0.89/1.31 'c_Orderings_Obot__class_Obot' [52, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.89/1.31 'c_Set_Oinsert' [53, 3] (w:1, o:133, a:1, s:1, b:0),
% 0.89/1.31 'class_Lattices_Oboolean__algebra' [54, 1] (w:1, o:68, a:1, s:1, b:0)
% 0.89/1.31 ,
% 0.89/1.31 'c_HOL_Oord__class_Oless' [57, 3] (w:1, o:134, a:1, s:1, b:0),
% 0.89/1.31 'c_lessequals' [58, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.89/1.31 hAPP [59, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.89/1.31 hBOOL [60, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus' [61, 3] (w:1, o:135, a:1, s:1, b:0),
% 0.89/1.31 'c_in' [62, 3] (w:1, o:136, a:1, s:1, b:0),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost' [65, 3] (w:1, o:137
% 0.89/1.31 , a:1, s:1, b:0),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThan' [66, 2] (w:1, o:122, a:1, s:
% 0.89/1.31 1, b:0),
% 0.89/1.31 'class_Orderings_Olinorder' [67, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.89/1.31 'c_SetInterval_Oord__class_OlessThan' [69, 2] (w:1, o:123, a:1, s:1
% 0.89/1.31 , b:0),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeast' [70, 2] (w:1, o:124, a:1, s:1
% 0.89/1.31 , b:0),
% 0.89/1.31 'class_Lattices_Olattice' [71, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.89/1.31 'class_Lattices_Olower__semilattice' [73, 1] (w:1, o:73, a:1, s:1, b:
% 0.89/1.31 0),
% 0.89/1.31 'c_SetInterval_Oord__class_OatMost' [75, 2] (w:1, o:125, a:1, s:1, b:
% 0.89/1.31 0),
% 0.89/1.31 'c_Fun_Oinj__on' [78, 4] (w:1, o:144, a:1, s:1, b:0),
% 0.89/1.31 'class_Lattices_Oupper__semilattice' [81, 1] (w:1, o:74, a:1, s:1, b:
% 0.89/1.31 0),
% 0.89/1.31 'c_Finite__Set_Olinorder__class_OMax' [82, 2] (w:1, o:126, a:1, s:1
% 0.89/1.31 , b:0),
% 0.89/1.31 'class_OrderedGroup_Oab__group__add' [83, 1] (w:1, o:75, a:1, s:1, b:
% 0.89/1.31 0),
% 0.89/1.31 'c_Fun_Oid' [88, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.89/1.31 'class_Orderings_Opreorder' [89, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.89/1.31 'c_Set_Ovimage' [92, 4] (w:1, o:145, a:1, s:1, b:0),
% 0.89/1.31 'c_Finite__Set_Ofinite' [93, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.89/1.31 'c_Fun_Ocomp' [95, 5] (w:1, o:149, a:1, s:1, b:0),
% 0.89/1.31 'class_Lattices_Odistrib__lattice' [96, 1] (w:1, o:78, a:1, s:1, b:0)
% 0.89/1.31 ,
% 0.89/1.31 't_a' [97, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.89/1.31 'v_x' [98, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan' [100, 3] (w:1, o:138, a:
% 0.89/1.31 1, s:1, b:0),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanLessThan' [101, 3] (w:1, o:139
% 0.89/1.31 , a:1, s:1, b:0),
% 0.89/1.31 'class_HOL_Ominus' [104, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.89/1.31 'class_HOL_Oord' [105, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.89/1.31 'class_OrderedGroup_Olordered__ab__group__add' [107, 1] (w:1, o:81
% 0.89/1.31 , a:1, s:1, b:0),
% 0.89/1.31 'class_Finite__Set_Ofinite_Ofinite' [109, 1] (w:1, o:82, a:1, s:1, b:
% 0.89/1.31 0),
% 0.89/1.31 'class_Complete__Lattice_Ocomplete__lattice' [110, 1] (w:1, o:83, a:1
% 0.89/1.31 , s:1, b:0),
% 0.89/1.31 'c_Complete__Lattice_OSup__class_OSup' [111, 2] (w:1, o:128, a:1, s:1
% 0.89/1.31 , b:0),
% 0.89/1.31 'class_OrderedGroup_Ogroup__add' [112, 1] (w:1, o:84, a:1, s:1, b:0)
% 0.89/1.31 ,
% 0.89/1.31 'class_OrderedGroup_Opordered__ab__group__add' [114, 1] (w:1, o:85
% 0.89/1.31 , a:1, s:1, b:0),
% 0.89/1.31 'class_Lattices_Obounded__lattice' [115, 1] (w:1, o:86, a:1, s:1, b:0
% 0.89/1.31 ),
% 0.89/1.31 'c_Map_Orestrict__map' [117, 4] (w:1, o:146, a:1, s:1, b:0),
% 0.89/1.31 'c_Option_Ooption_ONone' [118, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.89/1.31 'c_Finite__Set_Olinorder__class_OMin' [119, 2] (w:1, o:129, a:1, s:1
% 0.89/1.31 , b:0),
% 0.89/1.31 'class_Orderings_Otop' [120, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.89/1.31 'class_Ring__and__Field_Oordered__idom' [123, 1] (w:1, o:89, a:1, s:1
% 0.89/1.31 , b:0),
% 0.89/1.31 'c_Fun_Ofcomp' [124, 5] (w:1, o:150, a:1, s:1, b:0),
% 0.89/1.31 'class_HOL_Ouminus' [126, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.89/1.31 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1' [132, 3] (w:1, o:
% 0.89/1.31 140, a:1, s:1, b:0),
% 0.89/1.31 'class_Orderings_Obot' [135, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.89/1.31 'c_Orderings_Obot__axioms' [136, 3] (w:1, o:141, a:1, s:1, b:0),
% 0.89/1.31 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1' [137, 4] (w:1, o:147
% 0.89/1.31 , a:1, s:1, b:0),
% 0.89/1.31 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1' [138, 4] (w:1
% 0.89/1.31 , o:148, a:1, s:1, b:0),
% 0.89/1.31 'tc_Hoare__Mirabelle_Otriple' [140, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.89/1.31 'c_Hoare__Mirabelle_Ohoare__derivs' [141, 3] (w:1, o:142, a:1, s:1
% 0.89/1.31 , b:0),
% 0.89/1.31 'v_G' [144, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.89/1.31 'tc_Option_Ooption' [147, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.89/1.31 'c_fequal' [148, 3] (w:1, o:143, a:1, s:1, b:0).
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 Starting Search:
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 Bliksems!, er is een bewijs:
% 0.89/1.31 % SZS status Unsatisfiable
% 0.89/1.31 % SZS output start Refutation
% 0.89/1.31
% 0.89/1.31 clause( 473, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.31 Y ), 'tc_bool' ) ), Y ) ] )
% 0.89/1.31 .
% 0.89/1.31 clause( 480, [] )
% 0.89/1.31 .
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 % SZS output end Refutation
% 0.89/1.31 found a proof!
% 0.89/1.31
% 0.89/1.31 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.89/1.31
% 0.89/1.31 initialclauses(
% 0.89/1.31 [ clause( 482, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 483, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 484, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.89/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 0.89/1.31 , clause( 485, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 0.89/1.31 , clause( 486, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, Z, T
% 0.89/1.31 ) ) ] )
% 0.89/1.31 , clause( 487, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.89/1.31 Y, Z ) ) ] )
% 0.89/1.31 , clause( 488, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 489, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.89/1.31 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 0.89/1.31 Y, X ) ) ] )
% 0.89/1.31 , clause( 490, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ) ] )
% 0.89/1.31 , clause( 491, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.31 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ] )
% 0.89/1.31 , clause( 492, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.89/1.31 , clause( 493, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.89/1.31 , clause( 494, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.89/1.31 , clause( 495, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 496, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), X ) ) ] )
% 0.89/1.31 , clause( 497, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.89/1.31 X, T, U, W ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL(
% 0.89/1.31 'c_in'( Y, T, U ) ) ) ] )
% 0.89/1.31 , clause( 498, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z
% 0.89/1.31 , T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T
% 0.89/1.31 , U, W ) ), =( Y, Z ) ] )
% 0.89/1.31 , clause( 499, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z
% 0.89/1.31 , T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T
% 0.89/1.31 , U, W ) ), =( Y, Z ) ] )
% 0.89/1.31 , clause( 500, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z
% 0.89/1.31 , T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~(
% 0.89/1.31 'c_Fun_Oinj__on'( X, T, U, W ) ) ] )
% 0.89/1.31 , clause( 501, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ) ] )
% 0.89/1.31 , clause( 502, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ) ] )
% 0.89/1.31 , clause( 503, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 504, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 505, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 506, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 507, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 508, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 509, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.89/1.31 , clause( 510, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 511, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.31 ] )
% 0.89/1.31 , clause( 512, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.31 , T, X ) ) ), =( Z, T ) ] )
% 0.89/1.31 , clause( 513, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.31 , T, X ) ) ), =( Y, Z ) ] )
% 0.89/1.31 , clause( 514, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 515, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ]
% 0.89/1.31 )
% 0.89/1.31 , clause( 516, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ]
% 0.89/1.31 )
% 0.89/1.31 , clause( 517, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.31 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 0.89/1.31 , clause( 518, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( hBOOL( hAPP(
% 0.89/1.31 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 519, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.89/1.31 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.31 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 520, [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ] )
% 0.89/1.31 , clause( 521, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.89/1.31 , clause( 522, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.89/1.31 , clause( 523, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.89/1.31 , clause( 524, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.89/1.31 , clause( 525, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 526, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 527, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.89/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.89/1.31 , clause( 528, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 0.89/1.31 , clause( 529, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 0.89/1.31 , clause( 530, [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z
% 0.89/1.31 ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ] )
% 0.89/1.31 , clause( 531, [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ] )
% 0.89/1.31 , clause( 532, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ] )
% 0.89/1.31 , clause( 533, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 534, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 535, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 536, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 537, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.31 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.89/1.31 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 0.89/1.31 , clause( 538, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), X ) ] )
% 0.89/1.31 , clause( 539, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.89/1.31 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 540, [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.89/1.31 ] )
% 0.89/1.31 , clause( 541, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.89/1.31 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.31 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.31 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 542, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T, X
% 0.89/1.31 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.31 , clause( 543, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.89/1.31 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.31 'c_Set_Oinsert'( Z, T, X ) ) ) ) ] )
% 0.89/1.31 , clause( 544, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) )
% 0.89/1.31 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.89/1.31 , clause( 545, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) )
% 0.89/1.31 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.89/1.31 , clause( 546, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.31 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ] )
% 0.89/1.31 , clause( 547, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.89/1.31 ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ] )
% 0.89/1.31 , clause( 548, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 ) ] )
% 0.89/1.31 , clause( 549, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 0.89/1.31 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.89/1.31 , X ) ) ] )
% 0.89/1.31 , clause( 550, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 551, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.89/1.31 , clause( 552, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.31 , clause( 553, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X
% 0.89/1.31 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 554, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.31 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ] )
% 0.89/1.31 , clause( 555, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.31 ) ) ) ] )
% 0.89/1.31 , clause( 556, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.89/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.89/1.31 , clause( 557, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.89/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.89/1.31 , clause( 558, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL(
% 0.89/1.31 'c_in'( X, Y, Z ) ) ] )
% 0.89/1.31 , clause( 559, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 0.89/1.31 'c_in'( X, Y, T ) ) ) ] )
% 0.89/1.31 , clause( 560, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 0.89/1.31 'c_in'( X, Y, T ) ) ) ] )
% 0.89/1.31 , clause( 561, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Set_Ovimage'( X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 562, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) )
% 0.89/1.31 , Y ) ) ) ] )
% 0.89/1.31 , clause( 563, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ), ~( hBOOL( hAPP(
% 0.89/1.31 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 564, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL(
% 0.89/1.31 hAPP( Y, T ) ) ) ] )
% 0.89/1.31 , clause( 565, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.89/1.31 Z, Y, X ) ) ] )
% 0.89/1.31 , clause( 566, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y ), Z ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X
% 0.89/1.31 ) ) ) ) ] )
% 0.89/1.31 , clause( 567, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.89/1.31 Z, Y, X ) ) ] )
% 0.89/1.31 , clause( 568, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( 'c_in'( T, Y
% 0.89/1.31 , X ) ) ] )
% 0.89/1.31 , clause( 569, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z
% 0.89/1.31 ) ) ), hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T )
% 0.89/1.31 ] )
% 0.89/1.31 , clause( 570, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ] )
% 0.89/1.31 , clause( 571, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ] )
% 0.89/1.31 , clause( 572, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'(
% 0.89/1.31 'c_Fun_Oid'( T ), W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W
% 0.89/1.31 , V0 ) ) ] )
% 0.89/1.31 , clause( 573, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 574, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 575, [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ]
% 0.89/1.31 )
% 0.89/1.31 , clause( 576, [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ] )
% 0.89/1.31 , clause( 577, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 578, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 ) ] )
% 0.89/1.31 , clause( 579, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~( hBOOL(
% 0.89/1.31 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 580, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 Z, X ), ~( hBOOL( 'c_in'( Z, 'c_SetInterval_Oord__class_OgreaterThan'( Y
% 0.89/1.31 , X ), X ) ) ) ] )
% 0.89/1.31 , clause( 581, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.89/1.31 , clause( 582, [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U,
% 0.89/1.31 T ), 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ] )
% 0.89/1.31 , clause( 583, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ),
% 0.89/1.31 ~( hBOOL( 'c_in'( hAPP( Y, X ), Z, U ) ) ) ] )
% 0.89/1.31 , clause( 584, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ),
% 0.89/1.31 ~( hBOOL( 'c_in'( hAPP( Y, X ), Z, U ) ) ) ] )
% 0.89/1.31 , clause( 585, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ),
% 0.89/1.31 ~( hBOOL( 'c_in'( hAPP( Y, X ), Z, U ) ) ) ] )
% 0.89/1.31 , clause( 586, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y
% 0.89/1.31 , 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ] )
% 0.89/1.31 , clause( 587, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y
% 0.89/1.31 , 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ] )
% 0.89/1.31 , clause( 588, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ), X ) ) ] )
% 0.89/1.31 , clause( 589, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 590, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 591, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.89/1.31 , clause( 592, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.89/1.31 , clause( 593, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 594, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ) ) ] )
% 0.89/1.31 , clause( 595, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ) ) ] )
% 0.89/1.31 , clause( 596, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.31 , clause( 597, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.89/1.31 , clause( 598, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.31 , Z ) ) ) ] )
% 0.89/1.31 , clause( 599, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 600, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, U, X
% 0.89/1.31 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), Y ) ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( U
% 0.89/1.31 , Y, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 601, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 602, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.89/1.31 , clause( 603, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.89/1.31 , clause( 604, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 605, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ) ) ] )
% 0.89/1.31 , clause( 606, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ) ) ] )
% 0.89/1.31 , clause( 607, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ) ) ] )
% 0.89/1.31 , clause( 608, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 0.89/1.31 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 0.89/1.31 , clause( 609, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.89/1.31 ) ) ] )
% 0.89/1.31 , clause( 610, [ =( 'c_Set_Ovimage'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 0.89/1.31 , 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 611, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.89/1.31 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.89/1.31 , clause( 612, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 613, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.31 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X )
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 614, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 615, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), X ) ) ] )
% 0.89/1.31 , clause( 616, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.89/1.31 ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.31 hBOOL( 'c_in'( X, T, Z ) ) ] )
% 0.89/1.31 , clause( 617, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Y ) ) ) ] )
% 0.89/1.31 , clause( 618, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Y ) ) ) ] )
% 0.89/1.31 , clause( 619, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z, T ) ) ] )
% 0.89/1.31 , clause( 620, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z, T ) ) ] )
% 0.89/1.31 , clause( 621, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.89/1.31 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.89/1.31 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.89/1.31 )
% 0.89/1.31 , clause( 622, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.89/1.31 ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.89/1.31 , Z ) ) ] )
% 0.89/1.31 , clause( 623, [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ] )
% 0.89/1.31 , clause( 624, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.31 ), Z ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 625, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.31 ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 626, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T
% 0.89/1.31 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.89/1.31 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ) ) ) ) ] )
% 0.89/1.31 , clause( 627, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ) ), T ) ) ) ] )
% 0.89/1.31 , clause( 628, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Y, 'tc_bool' ) ), X ) ] )
% 0.89/1.31 , clause( 629, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ), Y ) ] )
% 0.89/1.31 , clause( 630, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ), Y ) ] )
% 0.89/1.31 , clause( 631, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ) ) ] )
% 0.89/1.31 , clause( 632, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ) ) ] )
% 0.89/1.31 , clause( 633, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ), Y ) ] )
% 0.89/1.31 , clause( 634, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.31 , clause( 635, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.89/1.31 , clause( 636, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.31 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 0.89/1.31 , clause( 637, [ =( 'c_Set_Ovimage'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 0.89/1.31 , 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 638, [ 'c_Finite__Set_Ofinite'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.89/1.31 , clause( 639, [ 'c_Finite__Set_Ofinite'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 0.89/1.31 , clause( 640, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.31 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.31 , X ) ) ] )
% 0.89/1.31 , clause( 641, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.31 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.31 , X ) ) ] )
% 0.89/1.31 , clause( 642, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.31 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.31 , X ) ) ] )
% 0.89/1.31 , clause( 643, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.31 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.31 , X ) ) ] )
% 0.89/1.31 , clause( 644, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 645, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.89/1.31 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Y, Z, X ) ] )
% 0.89/1.31 , clause( 646, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ] )
% 0.89/1.31 , clause( 647, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 648, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 649, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 650, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ] )
% 0.89/1.31 , clause( 651, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 652, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.31 ), U ), T ) ) ) ] )
% 0.89/1.31 , clause( 653, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.31 ), Z ), Y ) ) ) ] )
% 0.89/1.31 , clause( 654, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), T ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X
% 0.89/1.31 ) ) ] )
% 0.89/1.31 , clause( 655, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.31 )
% 0.89/1.31 , clause( 656, [ hBOOL( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'( X, Y, Z ) ) ] )
% 0.89/1.31 , clause( 657, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.89/1.31 , clause( 658, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.89/1.31 , clause( 659, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.31 ) ) ) ] )
% 0.89/1.31 , clause( 660, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 661, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.31 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) )
% 0.89/1.31 ] )
% 0.89/1.31 , clause( 662, [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ]
% 0.89/1.31 )
% 0.89/1.31 , clause( 663, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 0.89/1.31 , clause( 664, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 0.89/1.31 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T ) ) ] )
% 0.89/1.31 , clause( 665, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.31 , 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 0.89/1.31 , 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 666, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.31 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.31 ] )
% 0.89/1.31 , clause( 667, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.89/1.31 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.89/1.31 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 668, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 ) ] )
% 0.89/1.31 , clause( 669, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'(
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 670, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.89/1.31 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X
% 0.89/1.31 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ] )
% 0.89/1.31 , clause( 671, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 Z, X ), ~( hBOOL( 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X
% 0.89/1.31 ), X ) ) ) ] )
% 0.89/1.31 , clause( 672, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.89/1.31 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.31 , clause( 673, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.89/1.31 X ) ) ] )
% 0.89/1.31 , clause( 674, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.89/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.89/1.31 , clause( 675, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ) ) ] )
% 0.89/1.31 , clause( 676, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.31 ) ] )
% 0.89/1.31 , clause( 677, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 678, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z
% 0.89/1.31 , T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 679, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z
% 0.89/1.31 , T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 680, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.89/1.31 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y
% 0.89/1.31 , 'tc_bool' ) ), Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 0.89/1.31 , clause( 681, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.31 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) )
% 0.89/1.31 , ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.89/1.31 , clause( 682, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'(
% 0.89/1.31 hAPP( Y, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 , Z ), T, Z ), T ) ) ] )
% 0.89/1.31 , clause( 683, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ] )
% 0.89/1.31 , clause( 684, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ] )
% 0.89/1.31 , clause( 685, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 0.89/1.31 , clause( 686, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.89/1.31 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 0.89/1.31 , clause( 687, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.31 )
% 0.89/1.31 , clause( 688, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.31 )
% 0.89/1.31 , clause( 689, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Z,
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeast'( Y, X ), X ) ) ) ] )
% 0.89/1.31 , clause( 690, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.31 , clause( 691, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.89/1.31 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ] )
% 0.89/1.31 , clause( 692, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.31 ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.89/1.31 , clause( 693, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 , 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.31 , clause( 694, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 695, [ 'c_Finite__Set_Ofinite'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 0.89/1.31 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 0.89/1.31 , clause( 696, [ 'c_Finite__Set_Ofinite'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 0.89/1.31 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 0.89/1.31 , clause( 697, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ] )
% 0.89/1.31 , clause( 698, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ) ] )
% 0.89/1.31 , clause( 699, [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.89/1.31 Y, 'tc_bool' ) ), Y ) ) ] )
% 0.89/1.31 , clause( 700, [ =( hAPP( 'c_Map_Orestrict__map'( X, Y, Z, T ), U ),
% 0.89/1.31 'c_Option_Ooption_ONone'( T ) ), hBOOL( 'c_in'( U, Y, Z ) ) ] )
% 0.89/1.31 , clause( 701, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X,
% 0.89/1.31 hAPP( Y, W ) ) ) ] )
% 0.89/1.31 , clause( 702, [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T,
% 0.89/1.31 U, W ), Z ) ) ] )
% 0.89/1.31 , clause( 703, [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, 'tc_fun'(
% 0.89/1.31 Y, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 704, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.89/1.31 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ),
% 0.89/1.31 =( Y, Z ) ] )
% 0.89/1.31 , clause( 705, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 0.89/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Y ) ) ) ] )
% 0.89/1.31 , clause( 706, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 0.89/1.31 , clause( 707, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 0.89/1.31 , clause( 708, [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ),
% 0.89/1.31 ~( hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.89/1.31 , clause( 709, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 710, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 711, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 712, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.89/1.31 , clause( 713, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 714, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.31 , clause( 715, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.89/1.31 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.31 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.31 , clause( 716, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.31 ] )
% 0.89/1.31 , clause( 717, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.89/1.31 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.89/1.31 , Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 0.89/1.31 , clause( 718, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.89/1.31 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.89/1.31 , X, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 0.89/1.31 , clause( 719, [ =( 'c_Map_Orestrict__map'( 'c_Map_Orestrict__map'( X, Y, Z
% 0.89/1.31 , T ), U, Z, T ), 'c_Map_Orestrict__map'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, U, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z, T ) ) ] )
% 0.89/1.31 , clause( 720, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Z, Y, X ) ) ] )
% 0.89/1.31 , clause( 721, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.31 , X ), X ) ) ] )
% 0.89/1.31 , clause( 722, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 0.89/1.31 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.89/1.31 Y, X ) ) ] )
% 0.89/1.31 , clause( 723, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.89/1.32 , clause( 724, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.89/1.32 , clause( 725, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), hBOOL( 'c_in'( T, Y, X ) ), hBOOL( 'c_in'( T, Z, X ) )
% 0.89/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Set_Oinsert'( T, Z, X ), 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 726, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.32 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( T, 'tc_bool' ) ), X ), Z ) ) ), hBOOL( 'c_in'( Y, X, T ) ),
% 0.89/1.32 hBOOL( 'c_in'( Y, Z, T ) ) ] )
% 0.89/1.32 , clause( 727, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.89/1.32 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 728, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.89/1.32 , 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.89/1.32 , clause( 729, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 730, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.32 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ) ) ] )
% 0.89/1.32 , clause( 731, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.89/1.32 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 732, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.89/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.89/1.32 ) ) ] )
% 0.89/1.32 , clause( 733, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.32 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 734, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 735, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.32 ), ~( hBOOL( 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.32 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 736, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.32 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 737, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 738, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z
% 0.89/1.32 ) ) ), ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ) ) ] )
% 0.89/1.32 , clause( 739, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ] )
% 0.89/1.32 , clause( 740, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ] )
% 0.89/1.32 , clause( 741, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), Y ) ] )
% 0.89/1.32 , clause( 742, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ), X ) ] )
% 0.89/1.32 , clause( 743, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ) ] )
% 0.89/1.32 , clause( 744, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ] )
% 0.89/1.32 , clause( 745, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 746, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 747, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool'
% 0.89/1.32 ) ) ) ] )
% 0.89/1.32 , clause( 748, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.89/1.32 , clause( 749, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.89/1.32 , clause( 750, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.89/1.32 , clause( 751, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 0.89/1.32 , clause( 752, [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), Y ) ) ] )
% 0.89/1.32 , clause( 753, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.89/1.32 , clause( 754, [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X
% 0.89/1.32 , 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ] )
% 0.89/1.32 , clause( 755, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.89/1.32 , X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 756, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.32 , X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ] )
% 0.89/1.32 , clause( 757, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.32 ) ) ] )
% 0.89/1.32 , clause( 758, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.32 X ) ), Z ) ) ) ] )
% 0.89/1.32 , clause( 759, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.89/1.32 X ) ), Z ) ) ) ] )
% 0.89/1.32 , clause( 760, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 761, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 762, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.32 X ) ), Z ) ) ) ] )
% 0.89/1.32 , clause( 763, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.89/1.32 X ) ), Z ) ) ) ] )
% 0.89/1.32 , clause( 764, [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ] )
% 0.89/1.32 , clause( 765, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Y ) ) ] )
% 0.89/1.32 , clause( 766, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Z ) ) ] )
% 0.89/1.32 , clause( 767, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 768, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 769, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 770, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.32 X ) ), Z ) ) ] )
% 0.89/1.32 , clause( 771, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.32 X ) ), Y ) ) ] )
% 0.89/1.32 , clause( 772, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 773, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.89/1.32 , clause( 774, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 775, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 776, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 777, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 778, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.32 , X ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 779, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ] )
% 0.89/1.32 , clause( 780, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 X ), Z ), Y ) ) ] )
% 0.89/1.32 , clause( 781, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.32 , Y, X ) ) ] )
% 0.89/1.32 , clause( 782, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Y, X ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 X ), Y ), Y ) ) ] )
% 0.89/1.32 , clause( 783, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 784, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ]
% 0.89/1.32 )
% 0.89/1.32 , clause( 785, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z
% 0.89/1.32 , Y, X ) ) ] )
% 0.89/1.32 , clause( 786, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 X ), Z ), Y ) ) ] )
% 0.89/1.32 , clause( 787, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z
% 0.89/1.32 , Y, X ) ) ] )
% 0.89/1.32 , clause( 788, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 789, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.89/1.32 , clause( 790, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 791, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 792, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ] )
% 0.89/1.32 , clause( 793, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ] )
% 0.89/1.32 , clause( 794, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 795, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 796, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.89/1.32 , Y, X ) ) ) ] )
% 0.89/1.32 , clause( 797, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.32 , Z, X ) ) ) ] )
% 0.89/1.32 , clause( 798, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.89/1.32 , T, X ) ) ) ) ] )
% 0.89/1.32 , clause( 799, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T
% 0.89/1.32 , Z, X ) ) ) ) ] )
% 0.89/1.32 , clause( 800, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 801, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ] )
% 0.89/1.32 , clause( 802, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.89/1.32 , T, X ) ) ) ) ] )
% 0.89/1.32 , clause( 803, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T
% 0.89/1.32 , Z, X ) ) ) ) ] )
% 0.89/1.32 , clause( 804, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Z ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ]
% 0.89/1.32 )
% 0.89/1.32 , clause( 805, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Z ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ]
% 0.89/1.32 )
% 0.89/1.32 , clause( 806, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.32 , X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ] )
% 0.89/1.32 , clause( 807, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.32 , X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ] )
% 0.89/1.32 , clause( 808, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 0.89/1.32 , clause( 809, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 0.89/1.32 , clause( 810, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.89/1.32 , clause( 811, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 X ) ) ] )
% 0.89/1.32 , clause( 812, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.89/1.32 , clause( 813, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.89/1.32 , clause( 814, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 815, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 816, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.89/1.32 , clause( 817, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.89/1.32 , clause( 818, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.89/1.32 , clause( 819, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.89/1.32 , clause( 820, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 0.89/1.32 , clause( 821, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 0.89/1.32 , clause( 822, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 0.89/1.32 , clause( 823, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 0.89/1.32 , clause( 824, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 0.89/1.32 , clause( 825, [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ) ] )
% 0.89/1.32 , clause( 826, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ) ) ] )
% 0.89/1.32 , clause( 827, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ), X ) ] )
% 0.89/1.32 , clause( 828, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), Y ) ] )
% 0.89/1.32 , clause( 829, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 830, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 831, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ), X ) ] )
% 0.89/1.32 , clause( 832, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 0.89/1.32 , clause( 833, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 834, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ) ) ] )
% 0.89/1.32 , clause( 835, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 0.89/1.32 , clause( 836, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 0.89/1.32 , clause( 837, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 0.89/1.32 , clause( 838, [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X
% 0.89/1.32 , Z ) ] )
% 0.89/1.32 , clause( 839, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.89/1.32 , clause( 840, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 841, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 842, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.89/1.32 , clause( 843, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ) ) ) ] )
% 0.89/1.32 , clause( 844, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ) ) ] )
% 0.89/1.32 , clause( 845, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Z, T, 'tc_fun'( Y, X ) ) ) ] )
% 0.89/1.32 , clause( 846, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.32 Z, 'tc_fun'( T, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, X
% 0.89/1.32 ) ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, X )
% 0.89/1.32 ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 847, [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'( Y, X ) ) ) ] )
% 0.89/1.32 , clause( 848, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.89/1.32 , clause( 849, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.32 ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.89/1.32 , clause( 850, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 851, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.32 T, 'tc_bool' ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T
% 0.89/1.32 , 'tc_bool' ) ), X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ] )
% 0.89/1.32 , clause( 852, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 853, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~(
% 0.89/1.32 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 0.89/1.32 , clause( 854, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.32 ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ), T ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 855, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.32 , X ) ) ), =( Y, Z ) ] )
% 0.89/1.32 , clause( 856, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.32 , X ) ) ), =( Y, Z ) ] )
% 0.89/1.32 , clause( 857, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.89/1.32 ) ) ) ), =( X, Z ) ] )
% 0.89/1.32 , clause( 858, [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.89/1.32 , clause( 859, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.32 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) )
% 0.89/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 X ), T ), Y ) ) ) ] )
% 0.89/1.32 , clause( 860, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.32 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) )
% 0.89/1.32 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 X ), T ), Y ) ) ) ] )
% 0.89/1.32 , clause( 861, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ] )
% 0.89/1.32 , clause( 862, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.32 ), =( Z, Y ) ] )
% 0.89/1.32 , clause( 863, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 864, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.32 ), =( Z, Y ) ] )
% 0.89/1.32 , clause( 865, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.89/1.32 , clause( 866, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 867, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 0.89/1.32 , clause( 868, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.89/1.32 , clause( 869, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.89/1.32 , clause( 870, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.89/1.32 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X )
% 0.89/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.32 , clause( 871, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 0.89/1.32 , clause( 872, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.32 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( T, 'tc_bool' ) ), X ), Z ) ) ), hBOOL( 'c_in'( Y, X, T ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 873, [ =( hAPP( 'c_Map_Orestrict__map'( X, Y, Z, T ), U ), hAPP(
% 0.89/1.32 X, U ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ) ] )
% 0.89/1.32 , clause( 874, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 875, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ] )
% 0.89/1.32 , clause( 876, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.89/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.89/1.32 , clause( 877, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.89/1.32 , 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.89/1.32 'c_Finite__Set_Ofinite'( X, Y ) ) ] )
% 0.89/1.32 , clause( 878, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.89/1.32 ) ) ] )
% 0.89/1.32 , clause( 879, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.32 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ] )
% 0.89/1.32 , clause( 880, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.32 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 0.89/1.32 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ] )
% 0.89/1.32 , clause( 881, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 882, [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y,
% 0.89/1.32 hAPP( X, W ) ) ) ] )
% 0.89/1.32 , clause( 883, [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'(
% 0.89/1.32 X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), T ), U, T ), U ) ) ) ] )
% 0.89/1.32 , clause( 884, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0
% 0.89/1.32 , W ), 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ]
% 0.89/1.32 )
% 0.89/1.32 , clause( 885, [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP(
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( hAPP( Y, 'v_x' ), X ) ) ] )
% 0.89/1.32 , clause( 886, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.89/1.32 , clause( 887, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.89/1.32 , clause( 888, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.89/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 889, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 890, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 0.89/1.32 , clause( 891, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL(
% 0.89/1.32 'c_in'( Y, T, X ) ) ) ] )
% 0.89/1.32 , clause( 892, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.89/1.32 , 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.89/1.32 , clause( 893, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 894, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.89/1.32 , clause( 895, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.89/1.32 , clause( 896, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 897, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.89/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.32 , clause( 898, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 899, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.32 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.89/1.32 , 'tc_bool' ) ), Z ) ) ] )
% 0.89/1.32 , clause( 900, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.32 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.89/1.32 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.89/1.32 , 'tc_bool' ) ), T ) ) ] )
% 0.89/1.32 , clause( 901, [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ]
% 0.89/1.32 )
% 0.89/1.32 , clause( 902, [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ]
% 0.89/1.32 )
% 0.89/1.32 , clause( 903, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.89/1.32 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.32 , clause( 904, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 0.89/1.32 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), X ) ] )
% 0.89/1.32 , clause( 905, [ hBOOL( 'c_in'( X,
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.89/1.32 , clause( 906, [ hBOOL( 'c_in'( X,
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ] )
% 0.89/1.32 , clause( 907, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.89/1.32 'c_in'( X, Y, Z ) ) ) ] )
% 0.89/1.32 , clause( 908, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 0.89/1.32 , clause( 909, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 0.89/1.32 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 0.89/1.32 , clause( 910, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 911, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.89/1.32 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.89/1.32 , clause( 912, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.32 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.89/1.32 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 0.89/1.32 , clause( 913, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.89/1.32 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 914, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.89/1.32 , clause( 915, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.32 , clause( 916, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.89/1.32 , clause( 917, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.32 , clause( 918, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.32 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T,
% 0.89/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 919, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~(
% 0.89/1.32 hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.89/1.32 , clause( 920, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~(
% 0.89/1.32 hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.89/1.32 , clause( 921, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 922, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.32 T, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 923, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.32 Z, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 924, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.89/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 925, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 926, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.32 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ] )
% 0.89/1.32 , clause( 927, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.89/1.32 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.89/1.32 , clause( 928, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ]
% 0.89/1.32 )
% 0.89/1.32 , clause( 929, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0
% 0.89/1.32 , V1, T, U ) ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 930, [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) )
% 0.89/1.32 , =( hAPP( 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T
% 0.89/1.32 , U, V3, V1, V4 ), W ) ) ] )
% 0.89/1.32 , clause( 931, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T )
% 0.89/1.32 , 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.89/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.89/1.32 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 932, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.32 T, 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 933, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.89/1.32 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 0.89/1.32 Y, X ) ) ] )
% 0.89/1.32 , clause( 934, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 0.89/1.32 , clause( 935, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 0.89/1.32 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 0.89/1.32 , clause( 936, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 0.89/1.32 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 937, [ hBOOL( 'c_in'( X,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( hBOOL( 'c_in'(
% 0.89/1.32 X, Y, T ) ) ) ] )
% 0.89/1.32 , clause( 938, [ hBOOL( 'c_in'( X,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.32 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( hBOOL( 'c_in'(
% 0.89/1.32 X, Y, T ) ) ) ] )
% 0.89/1.32 , clause( 939, [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~(
% 0.89/1.32 hBOOL( hAPP( X, T ) ) ) ] )
% 0.89/1.32 , clause( 940, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.32 =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.32 , X ), X ), X ) ) ] )
% 0.89/1.32 , clause( 941, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.32 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 0.89/1.32 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.32 , clause( 942, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.32 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.32 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 0.89/1.32 , clause( 943, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 944, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.89/1.32 , clause( 945, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 946, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.32 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 947, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 0.89/1.32 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 948, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.89/1.32 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.32 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) )
% 0.89/1.32 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.89/1.32 , clause( 949, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.89/1.32 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.32 Z, X ) ) ) ] )
% 0.89/1.32 , clause( 950, [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z,
% 0.89/1.32 U, V0 ), 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 951, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.32 Y, X ) ) ] )
% 0.89/1.32 , clause( 952, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.32 Y, X ) ) ] )
% 0.89/1.32 , clause( 953, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.32 Y, X ) ) ] )
% 0.89/1.32 , clause( 954, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.89/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.32 Y, X ) ) ] )
% 0.89/1.32 , clause( 955, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.89/1.32 , Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 956, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.89/1.32 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ) ] )
% 0.89/1.32 , clause( 957, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~(
% 0.89/1.32 'c_Fun_Oinj__on'( X, U, Z, T ) ) ] )
% 0.89/1.32 , clause( 958, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.89/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.89/1.32 , Y ) ) ) ] )
% 0.89/1.32 , clause( 959, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL(
% 0.89/1.32 'c_in'( X, T, Z ) ) ) ] )
% 0.89/1.32 , clause( 960, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.89/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.89/1.32 , Y ) ) ) ] )
% 0.89/1.32 , clause( 961, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.89/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.89/1.32 , Y ) ) ) ] )
% 0.89/1.32 , clause( 962, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ) ), Z ) ) ) ] )
% 0.89/1.32 , clause( 963, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ) ), Z ) ) ) ] )
% 0.89/1.32 , clause( 964, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), ~( hBOOL( hAPP( Z,
% 0.89/1.32 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( Y, Z, X ) ) ) ) ] )
% 0.89/1.32 , clause( 965, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 966, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 967, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 968, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ) ), Z ) ) ] )
% 0.89/1.32 , clause( 969, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ) ), Y ) ) ] )
% 0.89/1.32 , clause( 970, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 971, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ] )
% 0.89/1.32 , clause( 972, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y ), X ) ) ) ] )
% 0.89/1.32 , clause( 973, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.89/1.32 , clause( 974, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ) ) ] )
% 0.89/1.32 , clause( 975, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.32 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), U ), Z ) )
% 0.89/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.89/1.32 , T ) ) ) ] )
% 0.89/1.32 , clause( 976, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), 'c_Set_Oinsert'( Z, Y, X ) ) ) ] )
% 0.89/1.32 , clause( 977, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 978, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 979, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 980, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 981, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ] )
% 0.89/1.32 , clause( 982, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.89/1.32 , clause( 983, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y ), X ) ) ) ] )
% 0.89/1.32 , clause( 984, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.89/1.32 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 985, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ) ) ) ] )
% 0.89/1.32 , clause( 986, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ) ) ) ] )
% 0.89/1.32 , clause( 987, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.89/1.32 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 988, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 0.89/1.32 ) ) ] )
% 0.89/1.32 , clause( 989, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Set_Ovimage'( Y, Z, X, T ) ), 'c_Set_Ovimage'( Y, U, X, T ) ) )
% 0.89/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ),
% 0.89/1.32 U ) ) ) ] )
% 0.89/1.32 , clause( 990, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.89/1.32 , clause( 991, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.89/1.32 , clause( 992, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), hBOOL( hAPP( Y,
% 0.89/1.32 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( Y, Z, X ) ) ) ] )
% 0.89/1.32 , clause( 993, [ =( hAPP( 'c_Map_Orestrict__map'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a', Y
% 0.89/1.32 ), 'v_x' ), 'c_Option_Ooption_ONone'( Y ) ) ] )
% 0.89/1.32 , clause( 994, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP(
% 0.89/1.32 X, hAPP( Y, 'v_x' ) ) ) ] )
% 0.89/1.32 , clause( 995, [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ] )
% 0.89/1.32 , clause( 996, [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ),
% 0.89/1.32 hAPP( Y, hAPP( X, 'v_x' ) ) ) ] )
% 0.89/1.32 , clause( 997, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 0.89/1.32 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 0.89/1.32 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 998, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 0.89/1.32 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 0.89/1.32 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 999, [ ~( 'class_Orderings_Obot'( X ) ),
% 0.89/1.32 'c_Orderings_Obot__axioms'( 'c_lessequals'( X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ), X ) ] )
% 0.89/1.32 , clause( 1000, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 1001, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.89/1.32 , clause( 1002, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 1003, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.89/1.32 , clause( 1004, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1005, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1006, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1007, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), hAPP( Z,
% 0.89/1.32 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Z, T, Y, X ) ) ), hAPP(
% 0.89/1.32 T, 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Z, T, Y, X ) ) ) ) )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 1008, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), hAPP( Z,
% 0.89/1.32 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Z, T, Y, X ) ) ),
% 0.89/1.32 hAPP( T, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Z, T, Y, X
% 0.89/1.32 ) ) ) ) ) ] )
% 0.89/1.32 , clause( 1009, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1010, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'( Z, X )
% 0.89/1.32 ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ) ) ] )
% 0.89/1.32 , clause( 1011, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.89/1.32 , clause( 1012, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.32 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ] )
% 0.89/1.32 , clause( 1013, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.32 ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ] )
% 0.89/1.32 , clause( 1014, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), T ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1015, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatMost'( Y, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 1016, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) )
% 0.89/1.32 , 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ) ) ] )
% 0.89/1.32 , clause( 1017, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1018, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Z,
% 0.89/1.32 X ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ] )
% 0.89/1.32 , clause( 1019, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 1020, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X )
% 0.89/1.32 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ] )
% 0.89/1.32 , clause( 1021, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ) ) ) ) ] )
% 0.89/1.32 , clause( 1022, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ) ),
% 0.89/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ) ) ) ) ] )
% 0.89/1.32 , clause( 1023, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.89/1.32 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.32 )
% 0.89/1.32 , clause( 1024, [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.89/1.32 )
% 0.89/1.32 , clause( 1025, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ) ) ) ) ] )
% 0.89/1.32 , clause( 1026, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 0.89/1.32 , clause( 1027, [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a'
% 0.89/1.32 , 'tc_bool' ) ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'(
% 0.89/1.32 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ] )
% 0.89/1.32 , clause( 1028, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.89/1.32 Y, Z, 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.89/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.89/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.32 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ] )
% 0.89/1.32 , clause( 1029, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.89/1.32 Z ), Y ) ) ] )
% 0.89/1.32 , clause( 1030, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.89/1.32 , 'tc_bool' ) ), Y ), T ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X
% 0.89/1.32 , T, Z ) ) ] )
% 0.89/1.32 , clause( 1031, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 T, Y ) ) ) ] )
% 0.89/1.32 , clause( 1032, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Y ) ) ] )
% 0.89/1.32 , clause( 1033, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Y ) ) ] )
% 0.89/1.32 , clause( 1034, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 0.89/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) )
% 0.89/1.32 ) ] )
% 0.89/1.32 , clause( 1035, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.89/1.32 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 1036, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Y ) ) ] )
% 0.89/1.32 , clause( 1037, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), Y ), Y ) ) ] )
% 0.89/1.32 , clause( 1038, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.32 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 1039, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.89/1.32 ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 1040, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.89/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.89/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 0.89/1.32 , clause( 1041, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 0.89/1.32 , clause( 1042, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.32 'tc_bool' ) ) ) ) ) ] )
% 0.89/1.32 , clause( 1043, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1044, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 1045, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.89/1.32 , clause( 1046, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.89/1.32 Z, 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1047, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.89/1.32 Z, 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.89/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1048, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.32 X, 'tc_bool' ) ), Y ) ) ) ] )
% 0.89/1.32 , clause( 1049, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.32 Y ), 'tc_bool' ) ), Y ) ] )
% 0.89/1.32 , clause( 1050, [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ] )
% 0.89/1.32 , clause( 1051, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.32 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 1052, [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.89/1.32 , clause( 1053, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.89/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.89/1.32 , 'tc_bool' ) ), Y ), X ) ) ) ] )
% 0.89/1.32 , clause( 1054, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.89/1.32 'c_lessequals'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP(
% 0.89/1.32 hAPP( 'c_lessequals'( 'tc_fun'( U, X ) ), Y ), T ) ) ) ] )
% 0.89/1.32 , clause( 1055, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.89/1.32 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 'v_G' ), 'v_x' ) )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 1056, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_x',
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.32 't_a' ), 'tc_bool' ) ), 't_a' ) ) ] )
% 0.89/1.32 , clause( 1057, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X
% 0.89/1.32 , Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 0.89/1.32 , clause( 1058, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) )
% 0.89/1.32 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.89/1.32 , clause( 1059, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) )
% 0.89/1.32 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.89/1.32 , clause( 1060, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ),
% 0.89/1.32 ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 0.89/1.32 , clause( 1061, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ),
% 0.89/1.32 ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 0.89/1.32 , clause( 1062, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ),
% 0.89/1.32 ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 0.89/1.32 , clause( 1063, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ),
% 0.89/1.32 ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.89/1.32 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 0.89/1.32 , clause( 1064, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Orderings_Opreorder'( Y ) ) ] )
% 0.89/1.32 , clause( 1065, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Lattices_Olattice'( Y ) ) ] )
% 0.89/1.32 , clause( 1066, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Orderings_Oorder'( Y ) ) ] )
% 0.89/1.32 , clause( 1067, [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Orderings_Otop'( Y ) ) ] )
% 0.89/1.32 , clause( 1068, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Orderings_Obot'( Y ) ) ] )
% 0.89/1.32 , clause( 1069, [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_HOL_Ouminus'( Y ) ) ] )
% 0.89/1.32 , clause( 1070, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_HOL_Ominus'( Y ) ) ] )
% 0.89/1.32 , clause( 1071, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'(
% 0.89/1.32 Y ) ) ] )
% 0.89/1.32 , clause( 1072, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' )
% 0.89/1.32 ] )
% 0.89/1.32 , clause( 1073, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1074, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1075, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1076, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1077, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1078, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1079, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1080, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1081, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1082, [ 'class_Orderings_Otop'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1083, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1084, [ 'class_HOL_Ouminus'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1085, [ 'class_HOL_Ominus'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1086, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 0.89/1.32 , clause( 1087, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'(
% 0.89/1.32 X ) ), ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 0.89/1.32 , clause( 1088, [ 'c_fequal'( X, X, Y ) ] )
% 0.89/1.32 , clause( 1089, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 0.89/1.32 ] ).
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32 subsumption(
% 0.89/1.32 clause( 473, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.32 Y ), 'tc_bool' ) ), Y ) ] )
% 0.89/1.32 , clause( 1049, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.32 Y ), 'tc_bool' ) ), Y ) ] )
% 0.89/1.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.89/1.32 )] ) ).
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32 resolution(
% 0.89/1.32 clause( 1955, [] )
% 0.89/1.32 , clause( 1056, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_x',
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.32 't_a' ), 'tc_bool' ) ), 't_a' ) ) ] )
% 0.89/1.32 , 0, clause( 473, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.89/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.32 Y ), 'tc_bool' ) ), Y ) ] )
% 0.89/1.32 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 't_a'
% 0.89/1.32 )] )).
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32 subsumption(
% 0.89/1.32 clause( 480, [] )
% 0.89/1.32 , clause( 1955, [] )
% 0.89/1.32 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32 end.
% 0.89/1.32
% 0.89/1.32 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.89/1.32
% 0.89/1.32 Memory use:
% 0.89/1.32
% 0.89/1.32 space for terms: 35619
% 0.89/1.32 space for clauses: 52051
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32 clauses generated: 575
% 0.89/1.32 clauses kept: 481
% 0.89/1.32 clauses selected: 0
% 0.89/1.32 clauses deleted: 0
% 0.89/1.32 clauses inuse deleted: 0
% 0.89/1.32
% 0.89/1.32 subsentry: 5164
% 0.89/1.32 literals s-matched: 3334
% 0.89/1.32 literals matched: 3216
% 0.89/1.32 full subsumption: 1427
% 0.89/1.32
% 0.89/1.32 checksum: -1960317382
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32 Bliksem ended
%------------------------------------------------------------------------------