TSTP Solution File: SWV857-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV857-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 16:28:52 EDT 2022
% Result : Unsatisfiable 29.85s 30.28s
% Output : Refutation 29.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV857-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 12:12:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.85/1.25 *** allocated 10000 integers for termspace/termends
% 0.85/1.25 *** allocated 10000 integers for clauses
% 0.85/1.25 *** allocated 10000 integers for justifications
% 0.85/1.25 *** allocated 15000 integers for termspace/termends
% 0.85/1.25 Bliksem 1.12
% 0.85/1.25
% 0.85/1.25
% 0.85/1.25 Automatic Strategy Selection
% 0.85/1.25
% 0.85/1.25 Clauses:
% 0.85/1.25 [
% 0.85/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.25 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.85/1.25 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.85/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.85/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.85/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.85/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.85/1.25 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.85/1.25 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.85/1.25 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.85/1.25 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.85/1.25 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.85/1.25 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.85/1.25 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.85/1.25 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.85/1.25 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.85/1.25 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.85/1.25 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.85/1.25 ) ) ) ],
% 0.85/1.25 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.85/1.25 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.85/1.25 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.85/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.85/1.25 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.25 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.85/1.25 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.85/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.85/1.25 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.85/1.25 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.85/1.25 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.85/1.25 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.85/1.25 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.85/1.25 Y, Z ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.85/1.25 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 0.85/1.25 Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.85/1.25 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.85/1.25 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.25 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.85/1.25 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.25 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.85/1.25 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.25 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.85/1.25 'tc_bool' ) ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.85/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.85/1.25 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.85/1.25 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.85/1.25 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.25 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.25 Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.85/1.25 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.85/1.25 , T, X ) ) ), =( Z, T ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.25 , T, X ) ) ), =( Y, Z ) ],
% 0.85/1.25 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.85/1.25 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.85/1.25 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.85/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.85/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.85/1.25 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.85/1.25 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.85/1.25 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.25 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.85/1.25 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 0.85/1.25 Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.85/1.25 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.85/1.25 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.85/1.25 [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.85/1.25 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.25 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.25 Z, 'tc_bool' ) ) ) ],
% 0.85/1.25 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.85/1.25 hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 0.85/1.25 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ],
% 0.85/1.25 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.25 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.25 [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.85/1.25 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.85/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.25 , X ), X ), X ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.85/1.25 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.85/1.26 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.85/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.85/1.26 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.85/1.26 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.26 Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.26 , X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.26 , X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.85/1.26 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.85/1.26 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.85/1.26 , ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.85/1.26 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.85/1.26 ) ), Z, X ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.26 Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.26 , X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.26 , X ), X ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.26 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.85/1.26 ) ) ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.85/1.26 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.85/1.26 ],
% 0.85/1.26 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.85/1.26 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.85/1.26 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.85/1.26 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), X ), X ), X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.85/1.26 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.85/1.26 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.85/1.26 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.85/1.26 ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.85/1.26 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.85/1.26 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.85/1.26 ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.85/1.26 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.85/1.26 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( Z ), X ), Y ) ) ],
% 0.85/1.26 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.85/1.26 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.85/1.26 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.26 ), Y ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.26 ), Y ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.26 ), Y ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.85/1.26 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.85/1.26 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.85/1.26 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.85/1.26 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.85/1.26 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), X ), X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.85/1.26 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.85/1.26 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.26 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.26 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.85/1.26 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.85/1.26 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.85/1.26 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.85/1.26 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.85/1.26 ), U ) ) ), ~( hBOOL( hAPP(
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 0.85/1.26 W, 'tc_bool' ) ), Z ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 0.85/1.26 , Y ), U ) ), ~( hBOOL( hAPP(
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 0.85/1.26 W, 'tc_bool' ) ), U ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.85/1.26 ), U ) ) ), ~( hBOOL( hAPP(
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 0.85/1.26 W, 'tc_bool' ) ), Z ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.85/1.26 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.85/1.26 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, W, X,
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.26 , 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.85/1.26 [ ~( =( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X, 'tc_bool' ),
% 0.85/1.26 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X, 'tc_bool' ),
% 0.85/1.26 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.85/1.26 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.85/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.85/1.26 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.85/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.85/1.26 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.85/1.26 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.85/1.26 ), X ), Y ) ), =( Y, T ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.85/1.26 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.85/1.26 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.85/1.26 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.85/1.26 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.85/1.26 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ), X ) ],
% 0.85/1.26 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.85/1.26 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.85/1.26 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.85/1.26 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.85/1.26 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.85/1.26 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.85/1.26 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.85/1.26 , X ) ],
% 0.85/1.26 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.85/1.26 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.85/1.26 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.85/1.26 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.85/1.26 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z
% 0.85/1.26 ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.85/1.26 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 0.85/1.26 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.85/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.85/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.85/1.26 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.85/1.26 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.85/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.26 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.85/1.26 ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.85/1.26 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.85/1.26 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.85/1.26 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), Z ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.85/1.26 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), T ) ) ],
% 0.85/1.26 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.85/1.26 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.85/1.26 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.85/1.26 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.85/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.85/1.26 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.85/1.26 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.26 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.85/1.26 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.85/1.26 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.85/1.26 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.85/1.26 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.85/1.26 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.26 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.85/1.26 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.85/1.26 X, T ), Y ) ) ) ],
% 0.85/1.26 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.85/1.26 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.85/1.26 ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.85/1.26 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.85/1.26 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.85/1.26 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.85/1.26 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.85/1.26 ) ],
% 0.85/1.26 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.85/1.26 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.85/1.26 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.85/1.26 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ), Y ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ), X ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.26 Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.85/1.26 , X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 0.85/1.26 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.85/1.26 Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.85/1.26 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.85/1.26 ) ), Y ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.85/1.26 hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.85/1.26 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.85/1.26 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), T ) ) ), ~( =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.85/1.26 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.85/1.26 , X ), Y ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.85/1.26 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.85/1.26 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.85/1.26 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.85/1.26 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.85/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.85/1.26 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.85/1.26 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.85/1.26 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.26 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.26 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.26 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.26 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.26 T, X ), Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.26 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.85/1.26 Y, X ), Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.85/1.26 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.26 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.26 T, X ), Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.26 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.85/1.26 Y, X ), Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X ), X ), ~(
% 0.85/1.26 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.85/1.26 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.85/1.26 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.85/1.26 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.85/1.26 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.26 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.85/1.26 ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.85/1.26 , X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.26 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.85/1.26 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.85/1.26 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.26 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.85/1.26 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.26 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.85/1.26 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.85/1.26 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.85/1.26 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.85/1.26 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.85/1.26 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.26 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 Z, T, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.26 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 T, Z, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.85/1.26 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.85/1.26 'c_lessequals'( Z, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.26 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 Z, T, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.85/1.26 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 T, Z, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.85/1.26 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.85/1.26 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.85/1.26 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.26 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.85/1.26 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 0.85/1.26 'c_Inductive_Ocomplete__lattice__class_Ogfp'( T, 'tc_fun'( X, 'tc_bool' )
% 0.85/1.26 ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, U, W, X ), hAPP( T,
% 0.85/1.26 'c_Set_Oimage'( Y, U, W, X ) ), 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.85/1.26 hAPP( hAPP( 'c_in'( W ), Z ), U ) ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.85/1.26 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.85/1.26 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.26 X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.85/1.26 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.85/1.26 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.85/1.26 ), Y ), Z ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_COMBC'(
% 0.85/1.26 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ),
% 0.85/1.26 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.85/1.26 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 0.85/1.26 't_a' ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.85/1.26 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.85/1.26 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_COMBC'(
% 0.85/1.26 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ),
% 0.85/1.26 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.85/1.26 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 0.85/1.26 't_a' ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.85/1.26 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.85/1.26 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.85/1.26 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.85/1.26 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.85/1.26 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.85/1.26 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.85/1.26 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.85/1.26 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.85/1.26 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.85/1.26 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.85/1.26 'tc_bool' ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.85/1.26 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.85/1.26 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.85/1.26 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.85/1.26 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.85/1.26 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( Y,
% 0.85/1.26 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.85/1.26 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.85/1.26 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.85/1.26 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.85/1.26 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.85/1.26 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.85/1.26 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.85/1.26 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.85/1.26 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.26 , Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.26 , Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.26 , X ) ) ), =( Y, Z ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.26 , X ) ) ), =( Y, Z ) ],
% 0.85/1.26 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.85/1.26 Z ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.85/1.26 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.85/1.26 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.26 ), =( Z, Y ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.26 ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.26 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.26 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.26 ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.85/1.26 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.85/1.26 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.85/1.26 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.85/1.26 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.85/1.26 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.85/1.26 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.85/1.26 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.85/1.26 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.85/1.26 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.85/1.26 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.85/1.26 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.85/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.85/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.85/1.26 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.85/1.26 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.85/1.26 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.85/1.26 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.85/1.26 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 0.85/1.26 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.85/1.26 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.85/1.26 [ =( 'c_Set_Oinsert'( X,
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.26 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.85/1.26 Y, 'v_x' ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.85/1.26 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.85/1.26 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.85/1.26 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.85/1.26 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.85/1.26 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.85/1.26 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.85/1.26 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ), X ) ],
% 0.85/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.85/1.26 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.85/1.26 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.85/1.26 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.85/1.26 ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.85/1.26 , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'(
% 0.85/1.26 X, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.85/1.26 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.26 Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, Z, 'tc_fun'(
% 0.85/1.26 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.85/1.26 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.85/1.26 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.85/1.26 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.85/1.26 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( X, Y ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T, 'tc_fun'(
% 0.85/1.26 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T, 'tc_fun'(
% 0.85/1.26 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.85/1.26 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.85/1.26 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.85/1.26 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.85/1.26 , V4 ), W ) ) ],
% 0.85/1.26 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.85/1.26 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.85/1.26 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.85/1.26 Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.85/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.85/1.26 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 0.85/1.26 Y, X ) ) ],
% 0.85/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.85/1.26 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.85/1.26 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.85/1.26 X, T, U ), Z ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.85/1.26 hAPP( X, U ) ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.85/1.26 hAPP( X, T ) ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.26 , X ), X ), X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.26 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.85/1.26 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.85/1.26 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.85/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.85/1.26 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.85/1.26 ],
% 0.85/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.85/1.26 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.85/1.26 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( T, X ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T, Z, 'tc_fun'(
% 0.85/1.26 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.85/1.26 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.26 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.26 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.26 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.26 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.85/1.26 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.85/1.26 ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.85/1.26 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.85/1.26 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.85/1.26 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.85/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.85/1.26 Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.85/1.26 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.85/1.26 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.85/1.26 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.85/1.26 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.85/1.26 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.85/1.26 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.85/1.26 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.85/1.26 , 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.85/1.26 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.85/1.26 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( X,
% 0.85/1.26 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) ) ) ],
% 0.85/1.26 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.85/1.26 , 'v_x' ) ) ) ],
% 0.85/1.26 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.85/1.26 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.85/1.26 X, 'v_x' ) ) ) ],
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 0.85/1.26 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.85/1.26 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.85/1.26 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ) ), T ) ), ~(
% 0.85/1.26 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.85/1.26 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ),
% 0.85/1.26 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), 't_a' ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ),
% 0.85/1.26 'c_Hoare__Mirabelle_Otriple__valid'(
% 0.85/1.26 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), Z, 't_a' ),
% 0.85/1.26 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Z
% 0.85/1.26 ), X ) ) ) ],
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.85/1.26 'c_Hoare__Mirabelle_Otriple__valid'( X,
% 0.85/1.26 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ), 't_a' ) ), ~(
% 0.85/1.26 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.85/1.26 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T,
% 0.85/1.26 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.85/1.26 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), ~( 'c_lessequals'( Y, Z
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ), hAPP(
% 0.85/1.26 Z, U ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), ~( 'c_lessequals'( Z, Y
% 0.85/1.26 , X ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( X ), Z ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.85/1.26 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.85/1.26 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.85/1.26 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.85/1.26 hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1'( X, Y, Z ) ), Y )
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1'( X, Y, Z ) ),
% 0.85/1.26 X ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X, 'tc_bool' )
% 0.85/1.26 , 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X, 'tc_bool' ),
% 0.85/1.26 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Y, Z,
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_COMBC'( 'c_in'( Z ), X, Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ),
% 0.85/1.26 'c_COMBC'( 'c_in'( Z ), Y, Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ),
% 0.85/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.85/1.26 X, Y, Z, 'tc_fun'( T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.85/1.26 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.85/1.26 hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( X,
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Y, U, 'tc_fun'(
% 0.85/1.26 T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( hAPP( X, Y ),
% 0.85/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.85/1.26 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( T ), Y ), Z ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, W
% 0.85/1.26 , U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1'( X, Y, Z ) ),
% 0.85/1.26 Y ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.85/1.26 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, 'tc_fun'( X, 'tc_bool' )
% 0.85/1.26 ) ) ), ~( 'c_lessequals'( T, hAPP( Z, T ), 'tc_fun'( X, 'tc_bool' ) ) )
% 0.85/1.26 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1'( X, Y, Z ) ), X )
% 0.85/1.26 ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.85/1.26 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.85/1.26 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.85/1.26 ~( 'c_lessequals'( hAPP( Y,
% 0.85/1.26 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 0.85/1.26 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 0.85/1.26 ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.85/1.26 ~( 'c_lessequals'( hAPP( Y,
% 0.85/1.26 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 0.85/1.26 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 0.85/1.26 ) ), X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 , ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.85/1.26 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.85/1.26 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.85/1.26 ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.85/1.26 ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.85/1.26 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.85/1.26 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 0.85/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.85/1.26 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.85/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.85/1.26 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.85/1.26 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ) ), Z ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.85/1.26 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.26 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.85/1.26 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.85/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.85/1.26 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.85/1.26 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 0.85/1.26 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.85/1.26 ) ) ],
% 0.85/1.26 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.85/1.26 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.85/1.26 'tc_bool' ) ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.26 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.85/1.26 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.26 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.85/1.26 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.85/1.26 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.85/1.26 [ 'c_lessequals'( 'v_tsa', 'v_Ga', 'tc_fun'(
% 0.85/1.26 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ],
% 0.85/1.26 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.85/1.26 'v_xa' ), 'v_tsa' ) ) ],
% 0.85/1.26 [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa', 't_a' ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' ), ~( hBOOL( hAPP(
% 0.85/1.26 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X ), 'v_Ga' ) ) )
% 0.85/1.26 ],
% 0.85/1.26 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.26 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.85/1.26 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.85/1.26 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.85/1.26 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.26 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.85/1.26 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.26 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.85/1.26 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.26 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.85/1.26 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.26 'class_Orderings_Opreorder'( Y ) ) ],
% 0.85/1.26 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.85/1.26 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.85/1.26 'class_Orderings_Oorder'( Y ) ) ],
% 0.85/1.26 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.85/1.26 Y ) ) ],
% 0.85/1.26 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.85/1.26 ],
% 0.85/1.26 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.85/1.26 ,
% 0.85/1.26 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.85/1.26 ,
% 0.90/1.46 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.90/1.46 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.90/1.46 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.90/1.46 [ 'c_fequal'( X, X, Y ) ],
% 0.90/1.46 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.90/1.46 ] .
% 0.90/1.46
% 0.90/1.46
% 0.90/1.46 percentage equality = 0.260638, percentage horn = 0.906796
% 0.90/1.46 This is a problem with some equality
% 0.90/1.46
% 0.90/1.46
% 0.90/1.46
% 0.90/1.46 Options Used:
% 0.90/1.46
% 0.90/1.46 useres = 1
% 0.90/1.46 useparamod = 1
% 0.90/1.46 useeqrefl = 1
% 0.90/1.46 useeqfact = 1
% 0.90/1.46 usefactor = 1
% 0.90/1.46 usesimpsplitting = 0
% 0.90/1.46 usesimpdemod = 5
% 0.90/1.46 usesimpres = 3
% 0.90/1.46
% 0.90/1.46 resimpinuse = 1000
% 0.90/1.46 resimpclauses = 20000
% 0.90/1.46 substype = eqrewr
% 0.90/1.46 backwardsubs = 1
% 0.90/1.46 selectoldest = 5
% 0.90/1.46
% 0.90/1.46 litorderings [0] = split
% 0.90/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.46
% 0.90/1.46 termordering = kbo
% 0.90/1.46
% 0.90/1.46 litapriori = 0
% 0.90/1.46 termapriori = 1
% 0.90/1.46 litaposteriori = 0
% 0.90/1.46 termaposteriori = 0
% 0.90/1.46 demodaposteriori = 0
% 0.90/1.46 ordereqreflfact = 0
% 0.90/1.46
% 0.90/1.46 litselect = negord
% 0.90/1.46
% 0.90/1.46 maxweight = 15
% 0.90/1.46 maxdepth = 30000
% 0.90/1.46 maxlength = 115
% 0.90/1.46 maxnrvars = 195
% 0.90/1.46 excuselevel = 1
% 0.90/1.46 increasemaxweight = 1
% 0.90/1.46
% 0.90/1.46 maxselected = 10000000
% 0.90/1.46 maxnrclauses = 10000000
% 0.90/1.46
% 0.90/1.46 showgenerated = 0
% 0.90/1.46 showkept = 0
% 0.90/1.46 showselected = 0
% 0.90/1.46 showdeleted = 0
% 0.90/1.46 showresimp = 1
% 0.90/1.46 showstatus = 2000
% 0.90/1.46
% 0.90/1.46 prologoutput = 1
% 0.90/1.46 nrgoals = 5000000
% 0.90/1.46 totalproof = 1
% 0.90/1.46
% 0.90/1.46 Symbols occurring in the translation:
% 0.90/1.46
% 0.90/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.46 . [1, 2] (w:1, o:99, a:1, s:1, b:0),
% 0.90/1.46 ! [4, 1] (w:0, o:69, a:1, s:1, b:0),
% 0.90/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.46 'tc_bool' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.90/1.46 'tc_fun' [43, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.90/1.46 'c_HOL_Ominus__class_Ominus' [44, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.90/1.46 'c_Lattices_Oupper__semilattice__class_Osup' [45, 3] (w:1, o:138, a:1
% 0.90/1.46 , s:1, b:0),
% 0.90/1.46 'c_Fun_Ocomp' [50, 5] (w:1, o:158, a:1, s:1, b:0),
% 0.90/1.46 'c_Fun_Oid' [51, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.90/1.46 hAPP [54, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.90/1.46 'class_Lattices_Obounded__lattice' [55, 1] (w:1, o:75, a:1, s:1, b:0)
% 0.90/1.46 ,
% 0.90/1.46 'c_Orderings_Obot__class_Obot' [56, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.90/1.46 'c_Set_Oinsert' [57, 3] (w:1, o:139, a:1, s:1, b:0),
% 0.90/1.46 'c_Lattices_Olower__semilattice__class_Oinf' [59, 3] (w:1, o:140, a:1
% 0.90/1.46 , s:1, b:0),
% 0.90/1.46 'c_in' [60, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.90/1.46 hBOOL [61, 1] (w:1, o:78, a:1, s:1, b:0),
% 0.90/1.46 'c_Set_Oimage' [64, 4] (w:1, o:152, a:1, s:1, b:0),
% 0.90/1.46 'c_HOL_Ouminus__class_Ouminus' [66, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.90/1.46 'c_Set_Ovimage' [67, 4] (w:1, o:153, a:1, s:1, b:0),
% 0.90/1.46 'class_Orderings_Oorder' [69, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.90/1.46 'c_SetInterval_Oord__class_OatLeastAtMost' [70, 3] (w:1, o:141, a:1
% 0.90/1.46 , s:1, b:0),
% 0.90/1.46 'c_HOL_Oord__class_Oless' [71, 3] (w:1, o:142, a:1, s:1, b:0),
% 0.90/1.46 'c_lessequals' [72, 3] (w:1, o:143, a:1, s:1, b:0),
% 0.90/1.46 'class_Orderings_Olinorder' [73, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.90/1.46 'c_SetInterval_Oord__class_OlessThan' [75, 2] (w:1, o:127, a:1, s:1
% 0.90/1.46 , b:0),
% 0.90/1.46 'c_SetInterval_Oord__class_OatLeast' [76, 2] (w:1, o:128, a:1, s:1
% 7.98/8.38 , b:0),
% 7.98/8.38 'class_Lattices_Olattice' [77, 1] (w:1, o:81, a:1, s:1, b:0),
% 7.98/8.38 'class_Lattices_Olower__semilattice' [79, 1] (w:1, o:82, a:1, s:1, b:
% 7.98/8.38 0),
% 7.98/8.38 'c_SetInterval_Oord__class_OatMost' [81, 2] (w:1, o:129, a:1, s:1, b:
% 7.98/8.38 0),
% 7.98/8.38 'class_Lattices_Oupper__semilattice' [82, 1] (w:1, o:83, a:1, s:1, b:
% 7.98/8.38 0),
% 7.98/8.38 'class_Lattices_Oboolean__algebra' [83, 1] (w:1, o:84, a:1, s:1, b:0)
% 7.98/8.38 ,
% 7.98/8.38 'class_OrderedGroup_Oab__group__add' [84, 1] (w:1, o:85, a:1, s:1, b:
% 7.98/8.38 0),
% 7.98/8.38 'c_COMBC' [89, 5] (w:1, o:159, a:1, s:1, b:0),
% 7.98/8.38 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [91, 4] (w:1
% 7.98/8.38 , o:154, a:1, s:1, b:0),
% 7.98/8.38 'c_SetInterval_Oord__class_OgreaterThan' [94, 2] (w:1, o:130, a:1, s:
% 7.98/8.38 1, b:0),
% 7.98/8.38 'class_HOL_Ominus' [95, 1] (w:1, o:86, a:1, s:1, b:0),
% 7.98/8.38 't_a' [96, 0] (w:1, o:40, a:1, s:1, b:0),
% 7.98/8.38 'v_x' [97, 0] (w:1, o:41, a:1, s:1, b:0),
% 7.98/8.38 'class_HOL_Oord' [98, 1] (w:1, o:87, a:1, s:1, b:0),
% 7.98/8.38 'class_OrderedGroup_Olordered__ab__group__add' [101, 1] (w:1, o:88
% 7.98/8.38 , a:1, s:1, b:0),
% 7.98/8.38 'c_SetInterval_Oord__class_OatLeastLessThan' [103, 3] (w:1, o:144, a:
% 7.98/8.38 1, s:1, b:0),
% 7.98/8.38 'class_Complete__Lattice_Ocomplete__lattice' [105, 1] (w:1, o:89, a:1
% 7.98/8.38 , s:1, b:0),
% 7.98/8.38 'c_Complete__Lattice_OInf__class_OInf' [106, 2] (w:1, o:131, a:1, s:1
% 7.98/8.38 , b:0),
% 7.98/8.38 'c_Complete__Lattice_OSup__class_OSup' [107, 2] (w:1, o:132, a:1, s:1
% 7.98/8.38 , b:0),
% 7.98/8.38 'class_OrderedGroup_Ogroup__add' [108, 1] (w:1, o:90, a:1, s:1, b:0)
% 7.98/8.38 ,
% 7.98/8.38 'class_OrderedGroup_Opordered__ab__group__add' [109, 1] (w:1, o:91
% 7.98/8.38 , a:1, s:1, b:0),
% 7.98/8.38 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [110, 4] (w:1
% 7.98/8.38 , o:155, a:1, s:1, b:0),
% 7.98/8.38 'class_Orderings_Opreorder' [112, 1] (w:1, o:92, a:1, s:1, b:0),
% 7.98/8.38 'class_Lattices_Odistrib__lattice' [113, 1] (w:1, o:93, a:1, s:1, b:0
% 7.98/8.38 ),
% 7.98/8.38 'class_Orderings_Obot' [115, 1] (w:1, o:94, a:1, s:1, b:0),
% 7.98/8.38 'c_Suc' [118, 1] (w:1, o:95, a:1, s:1, b:0),
% 7.98/8.38 'c_Inductive_Ocomplete__lattice__class_Ogfp' [122, 2] (w:1, o:133, a:
% 7.98/8.38 1, s:1, b:0),
% 7.98/8.38 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1' [124, 3] (w:1, o:
% 7.98/8.38 145, a:1, s:1, b:0),
% 7.98/8.38 'class_Ring__and__Field_Oordered__idom' [125, 1] (w:1, o:96, a:1, s:1
% 7.98/8.38 , b:0),
% 7.98/8.38 'c_Hoare__Mirabelle_Ohoare__derivs' [128, 3] (w:1, o:146, a:1, s:1
% 7.98/8.38 , b:0),
% 7.98/8.38 'c_Fun_Ofcomp' [130, 5] (w:1, o:160, a:1, s:1, b:0),
% 7.98/8.38 'class_HOL_Ouminus' [133, 1] (w:1, o:97, a:1, s:1, b:0),
% 7.98/8.38 'c_Hoare__Mirabelle_Otriple__valid' [140, 3] (w:1, o:147, a:1, s:1
% 7.98/8.38 , b:0),
% 7.98/8.38 'tc_Hoare__Mirabelle_Otriple' [142, 1] (w:1, o:98, a:1, s:1, b:0),
% 7.98/8.38 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1' [143, 2] (w:1, o:
% 7.98/8.38 134, a:1, s:1, b:0),
% 7.98/8.38 'c_Hoare__Mirabelle_Ohoare__valids' [144, 3] (w:1, o:148, a:1, s:1
% 7.98/8.38 , b:0),
% 7.98/8.38 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1' [145, 2] (w:1, o:
% 7.98/8.38 135, a:1, s:1, b:0),
% 7.98/8.38 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2' [146, 2] (w:1, o:
% 7.98/8.38 136, a:1, s:1, b:0),
% 7.98/8.38 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1' [149, 3] (w:1, o:149, a:1
% 7.98/8.38 , s:1, b:0),
% 7.98/8.38 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1' [150, 3] (w:1, o:150
% 7.98/8.38 , a:1, s:1, b:0),
% 7.98/8.38 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1' [151, 4] (w:1, o:156
% 7.98/8.38 , a:1, s:1, b:0),
% 7.98/8.38 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1' [152, 4] (w:1
% 7.98/8.38 , o:157, a:1, s:1, b:0),
% 7.98/8.38 'v_tsa' [153, 0] (w:1, o:63, a:1, s:1, b:0),
% 7.98/8.38 'v_Ga' [154, 0] (w:1, o:64, a:1, s:1, b:0),
% 7.98/8.38 'v_xa' [155, 0] (w:1, o:65, a:1, s:1, b:0),
% 7.98/8.38 'tc_nat' [159, 0] (w:1, o:68, a:1, s:1, b:0),
% 7.98/8.38 'c_fequal' [160, 3] (w:1, o:151, a:1, s:1, b:0).
% 7.98/8.38
% 7.98/8.38
% 7.98/8.38 Starting Search:
% 7.98/8.38
% 7.98/8.38 Resimplifying inuse:
% 7.98/8.38 Done
% 7.98/8.38
% 7.98/8.38
% 7.98/8.38 Intermediate Status:
% 7.98/8.38 Generated: 5630
% 7.98/8.38 Kept: 2006
% 7.98/8.38 Inuse: 148
% 7.98/8.38 Deleted: 3
% 7.98/8.38 Deletedinuse: 0
% 7.98/8.38
% 7.98/8.38 Resimplifying inuse:
% 7.98/8.38 Done
% 7.98/8.38
% 7.98/8.38 Resimplifying inuse:
% 7.98/8.38 Done
% 7.98/8.38
% 7.98/8.38
% 7.98/8.38 Intermediate Status:
% 7.98/8.38 Generated: 12069
% 7.98/8.38 Kept: 4007
% 7.98/8.38 Inuse: 251
% 7.98/8.38 Deleted: 6
% 7.98/8.38 Deletedinuse: 0
% 7.98/8.38
% 7.98/8.38 Resimplifying inuse:
% 7.98/8.38 Done
% 7.98/8.38
% 7.98/8.38 Resimplifying inuse:
% 7.98/8.38 Done
% 7.98/8.38
% 7.98/8.38
% 7.98/8.38 Intermediate Status:
% 7.98/8.38 Generated: 21083
% 7.98/8.38 Kept: 6042
% 7.98/8.38 Inuse: 405
% 26.75/27.14 Deleted: 12
% 26.75/27.14 Deletedinuse: 1
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 29167
% 26.75/27.14 Kept: 8047
% 26.75/27.14 Inuse: 476
% 26.75/27.14 Deleted: 13
% 26.75/27.14 Deletedinuse: 2
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 36815
% 26.75/27.14 Kept: 10161
% 26.75/27.14 Inuse: 520
% 26.75/27.14 Deleted: 13
% 26.75/27.14 Deletedinuse: 2
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 50259
% 26.75/27.14 Kept: 12513
% 26.75/27.14 Inuse: 570
% 26.75/27.14 Deleted: 13
% 26.75/27.14 Deletedinuse: 2
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 63001
% 26.75/27.14 Kept: 15674
% 26.75/27.14 Inuse: 645
% 26.75/27.14 Deleted: 13
% 26.75/27.14 Deletedinuse: 2
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 71993
% 26.75/27.14 Kept: 17798
% 26.75/27.14 Inuse: 716
% 26.75/27.14 Deleted: 18
% 26.75/27.14 Deletedinuse: 3
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 81535
% 26.75/27.14 Kept: 20883
% 26.75/27.14 Inuse: 758
% 26.75/27.14 Deleted: 20
% 26.75/27.14 Deletedinuse: 4
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying clauses:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 92246
% 26.75/27.14 Kept: 22891
% 26.75/27.14 Inuse: 793
% 26.75/27.14 Deleted: 358
% 26.75/27.14 Deletedinuse: 6
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 103024
% 26.75/27.14 Kept: 25019
% 26.75/27.14 Inuse: 814
% 26.75/27.14 Deleted: 358
% 26.75/27.14 Deletedinuse: 6
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 109798
% 26.75/27.14 Kept: 27021
% 26.75/27.14 Inuse: 843
% 26.75/27.14 Deleted: 420
% 26.75/27.14 Deletedinuse: 7
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 119727
% 26.75/27.14 Kept: 29048
% 26.75/27.14 Inuse: 901
% 26.75/27.14 Deleted: 424
% 26.75/27.14 Deletedinuse: 8
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 134397
% 26.75/27.14 Kept: 32760
% 26.75/27.14 Inuse: 946
% 26.75/27.14 Deleted: 425
% 26.75/27.14 Deletedinuse: 9
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 142170
% 26.75/27.14 Kept: 34772
% 26.75/27.14 Inuse: 956
% 26.75/27.14 Deleted: 426
% 26.75/27.14 Deletedinuse: 9
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 154230
% 26.75/27.14 Kept: 36803
% 26.75/27.14 Inuse: 1023
% 26.75/27.14 Deleted: 429
% 26.75/27.14 Deletedinuse: 10
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 167612
% 26.75/27.14 Kept: 40115
% 26.75/27.14 Inuse: 1076
% 26.75/27.14 Deleted: 431
% 26.75/27.14 Deletedinuse: 11
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying clauses:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 180156
% 26.75/27.14 Kept: 42361
% 26.75/27.14 Inuse: 1117
% 26.75/27.14 Deleted: 1107
% 26.75/27.14 Deletedinuse: 15
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 194858
% 26.75/27.14 Kept: 45949
% 26.75/27.14 Inuse: 1151
% 26.75/27.14 Deleted: 1107
% 26.75/27.14 Deletedinuse: 15
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 205041
% 26.75/27.14 Kept: 47965
% 26.75/27.14 Inuse: 1160
% 26.75/27.14 Deleted: 1107
% 26.75/27.14 Deletedinuse: 15
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 219441
% 26.75/27.14 Kept: 50077
% 26.75/27.14 Inuse: 1202
% 26.75/27.14 Deleted: 1107
% 26.75/27.14 Deletedinuse: 15
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 229999
% 26.75/27.14 Kept: 52596
% 26.75/27.14 Inuse: 1220
% 26.75/27.14 Deleted: 1107
% 26.75/27.14 Deletedinuse: 15
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 239578
% 26.75/27.14 Kept: 55345
% 26.75/27.14 Inuse: 1222
% 26.75/27.14 Deleted: 1107
% 26.75/27.14 Deletedinuse: 15
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 255129
% 26.75/27.14 Kept: 57809
% 26.75/27.14 Inuse: 1242
% 26.75/27.14 Deleted: 1109
% 26.75/27.14 Deletedinuse: 17
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 276703
% 26.75/27.14 Kept: 60475
% 26.75/27.14 Inuse: 1251
% 26.75/27.14 Deleted: 1110
% 26.75/27.14 Deletedinuse: 17
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying clauses:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 301907
% 26.75/27.14 Kept: 63322
% 26.75/27.14 Inuse: 1276
% 26.75/27.14 Deleted: 1295
% 26.75/27.14 Deletedinuse: 17
% 26.75/27.14
% 26.75/27.14 Resimplifying inuse:
% 26.75/27.14 Done
% 26.75/27.14
% 26.75/27.14
% 26.75/27.14 Intermediate Status:
% 26.75/27.14 Generated: 338803
% 26.75/27.14 Kept: 67851
% 26.75/27.14 Inuse: 1296
% 26.75/27.14 Deleted: 1295
% 29.85/30.28 Deletedinuse: 17
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 373472
% 29.85/30.28 Kept: 71920
% 29.85/30.28 Inuse: 1301
% 29.85/30.28 Deleted: 1296
% 29.85/30.28 Deletedinuse: 18
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 387218
% 29.85/30.28 Kept: 73939
% 29.85/30.28 Inuse: 1312
% 29.85/30.28 Deleted: 1296
% 29.85/30.28 Deletedinuse: 18
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 400157
% 29.85/30.28 Kept: 75943
% 29.85/30.28 Inuse: 1342
% 29.85/30.28 Deleted: 1296
% 29.85/30.28 Deletedinuse: 18
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 412121
% 29.85/30.28 Kept: 78313
% 29.85/30.28 Inuse: 1356
% 29.85/30.28 Deleted: 1296
% 29.85/30.28 Deletedinuse: 18
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 423766
% 29.85/30.28 Kept: 80434
% 29.85/30.28 Inuse: 1386
% 29.85/30.28 Deleted: 1296
% 29.85/30.28 Deletedinuse: 18
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying clauses:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 435252
% 29.85/30.28 Kept: 82549
% 29.85/30.28 Inuse: 1417
% 29.85/30.28 Deleted: 1445
% 29.85/30.28 Deletedinuse: 19
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 451069
% 29.85/30.28 Kept: 84803
% 29.85/30.28 Inuse: 1430
% 29.85/30.28 Deleted: 1445
% 29.85/30.28 Deletedinuse: 19
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 461730
% 29.85/30.28 Kept: 86835
% 29.85/30.28 Inuse: 1442
% 29.85/30.28 Deleted: 1445
% 29.85/30.28 Deletedinuse: 19
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 480022
% 29.85/30.28 Kept: 89612
% 29.85/30.28 Inuse: 1450
% 29.85/30.28 Deleted: 1446
% 29.85/30.28 Deletedinuse: 20
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 491754
% 29.85/30.28 Kept: 91947
% 29.85/30.28 Inuse: 1480
% 29.85/30.28 Deleted: 1453
% 29.85/30.28 Deletedinuse: 27
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 503464
% 29.85/30.28 Kept: 94094
% 29.85/30.28 Inuse: 1515
% 29.85/30.28 Deleted: 1453
% 29.85/30.28 Deletedinuse: 27
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 516992
% 29.85/30.28 Kept: 96199
% 29.85/30.28 Inuse: 1550
% 29.85/30.28 Deleted: 1453
% 29.85/30.28 Deletedinuse: 27
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 529380
% 29.85/30.28 Kept: 98240
% 29.85/30.28 Inuse: 1577
% 29.85/30.28 Deleted: 1453
% 29.85/30.28 Deletedinuse: 27
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 542576
% 29.85/30.28 Kept: 100277
% 29.85/30.28 Inuse: 1605
% 29.85/30.28 Deleted: 1453
% 29.85/30.28 Deletedinuse: 27
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying clauses:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 554320
% 29.85/30.28 Kept: 102393
% 29.85/30.28 Inuse: 1630
% 29.85/30.28 Deleted: 2335
% 29.85/30.28 Deletedinuse: 28
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 564258
% 29.85/30.28 Kept: 104481
% 29.85/30.28 Inuse: 1649
% 29.85/30.28 Deleted: 2343
% 29.85/30.28 Deletedinuse: 36
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 573119
% 29.85/30.28 Kept: 106508
% 29.85/30.28 Inuse: 1670
% 29.85/30.28 Deleted: 2371
% 29.85/30.28 Deletedinuse: 64
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 581048
% 29.85/30.28 Kept: 108636
% 29.85/30.28 Inuse: 1695
% 29.85/30.28 Deleted: 2372
% 29.85/30.28 Deletedinuse: 65
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 589626
% 29.85/30.28 Kept: 110738
% 29.85/30.28 Inuse: 1715
% 29.85/30.28 Deleted: 2372
% 29.85/30.28 Deletedinuse: 65
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 600329
% 29.85/30.28 Kept: 112928
% 29.85/30.28 Inuse: 1735
% 29.85/30.28 Deleted: 2372
% 29.85/30.28 Deletedinuse: 65
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 609127
% 29.85/30.28 Kept: 114985
% 29.85/30.28 Inuse: 1750
% 29.85/30.28 Deleted: 2372
% 29.85/30.28 Deletedinuse: 65
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 615993
% 29.85/30.28 Kept: 117030
% 29.85/30.28 Inuse: 1766
% 29.85/30.28 Deleted: 2372
% 29.85/30.28 Deletedinuse: 65
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 623930
% 29.85/30.28 Kept: 119315
% 29.85/30.28 Inuse: 1785
% 29.85/30.28 Deleted: 2372
% 29.85/30.28 Deletedinuse: 65
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying clauses:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 633157
% 29.85/30.28 Kept: 121337
% 29.85/30.28 Inuse: 1807
% 29.85/30.28 Deleted: 4912
% 29.85/30.28 Deletedinuse: 66
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 643808
% 29.85/30.28 Kept: 123645
% 29.85/30.28 Inuse: 1830
% 29.85/30.28 Deleted: 4912
% 29.85/30.28 Deletedinuse: 66
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 652685
% 29.85/30.28 Kept: 125650
% 29.85/30.28 Inuse: 1851
% 29.85/30.28 Deleted: 4912
% 29.85/30.28 Deletedinuse: 66
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 662198
% 29.85/30.28 Kept: 127735
% 29.85/30.28 Inuse: 1870
% 29.85/30.28 Deleted: 4912
% 29.85/30.28 Deletedinuse: 66
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 673052
% 29.85/30.28 Kept: 129876
% 29.85/30.28 Inuse: 1890
% 29.85/30.28 Deleted: 4912
% 29.85/30.28 Deletedinuse: 66
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 694419
% 29.85/30.28 Kept: 131896
% 29.85/30.28 Inuse: 1901
% 29.85/30.28 Deleted: 4912
% 29.85/30.28 Deletedinuse: 66
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Intermediate Status:
% 29.85/30.28 Generated: 712725
% 29.85/30.28 Kept: 133907
% 29.85/30.28 Inuse: 1912
% 29.85/30.28 Deleted: 4912
% 29.85/30.28 Deletedinuse: 66
% 29.85/30.28
% 29.85/30.28 Resimplifying inuse:
% 29.85/30.28 Done
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 Bliksems!, er is een bewijs:
% 29.85/30.28 % SZS status Unsatisfiable
% 29.85/30.28 % SZS output start Refutation
% 29.85/30.28
% 29.85/30.28 clause( 78, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), Y ) ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 182, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 215, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( Z ), X ), Y ) ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 250, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 29.85/30.28 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 307, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.85/30.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 326, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 447, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 29.85/30.28 Z, Y ) ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 450, [ 'c_lessequals'( 'v_tsa', 'v_Ga', 'tc_fun'(
% 29.85/30.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 451, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 29.85/30.28 't_a' ) ), 'v_xa' ), 'v_tsa' ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 452, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa', 't_a'
% 29.85/30.28 ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 453, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' ), ~(
% 29.85/30.28 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X )
% 29.85/30.28 , 'v_Ga' ) ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 456, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ),
% 29.85/30.28 ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 484, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 505, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X
% 29.85/30.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 29.85/30.28 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Y, Z ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 506, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 720, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_xa', 't_a' ) )
% 29.85/30.28 , ~( =( X, 'v_x' ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 1685, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 6948, [ ~( =( 'c_Suc'( X ), 'c_Suc'( 'v_x' ) ) ), ~(
% 29.85/30.28 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_xa', 't_a' ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 30080, [ =( 'c_Set_Oinsert'( 'v_xa', 'v_tsa',
% 29.85/30.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_tsa' ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 30192, [ hBOOL( hAPP( 'v_tsa', 'v_xa' ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 30231, [ hBOOL( hAPP( X, 'v_xa' ) ), ~( =( 'c_Suc'( 'v_tsa' ),
% 29.85/30.28 'c_Suc'( X ) ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 38246, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_Ga',
% 29.85/30.28 'v_tsa', 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) )
% 29.85/30.28 , 'v_tsa' ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 114342, [ hBOOL( hAPP( 'v_Ga', X ) ), ~( hBOOL( hAPP( 'v_tsa', X )
% 29.85/30.28 ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 114382, [ hBOOL( hAPP( 'v_Ga', 'v_xa' ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 133378, [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'v_xa' ), 'v_Ga' ) ) ] )
% 29.85/30.28 .
% 29.85/30.28 clause( 135325, [] )
% 29.85/30.28 .
% 29.85/30.28
% 29.85/30.28
% 29.85/30.28 % SZS output end Refutation
% 29.85/30.28 found a proof!
% 29.85/30.28
% 29.85/30.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 29.85/30.28
% 29.85/30.28 initialclauses(
% 29.85/30.28 [ clause( 135327, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135328, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135329, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'(
% 29.85/30.28 'c_Fun_Oid'( T ), W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W
% 29.85/30.28 , V0 ) ) ] )
% 29.85/30.28 , clause( 135330, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 29.85/30.28 , clause( 135331, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 29.85/30.28 , clause( 135332, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135333, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135334, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ] )
% 29.85/30.28 , clause( 135335, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 29.85/30.28 , clause( 135336, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z
% 29.85/30.28 , T, U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( T ), Y ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135337, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~(
% 29.85/30.28 hBOOL( hAPP( Y, T ) ) ) ] )
% 29.85/30.28 , clause( 135338, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 Y, 'tc_fun'( Z, 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Set_Ovimage'( X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135339, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( Z ), X ), Y ) ) ] )
% 29.85/30.28 , clause( 135340, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135341, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 29.85/30.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 29.85/30.28 , clause( 135342, [ ~( =( 'c_Set_Oinsert'( X,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 29.85/30.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ), Y ) ) ), =( X, Z ) ] )
% 29.85/30.28 , clause( 135343, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 29.85/30.28 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( T ), Y ), Z ) ) ] )
% 29.85/30.28 , clause( 135344, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 29.85/30.28 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 29.85/30.28 Y, Z ) ) ] )
% 29.85/30.28 , clause( 135345, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 29.85/30.28 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 29.85/30.28 Y, X ) ) ] )
% 29.85/30.28 , clause( 135346, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 29.85/30.28 , clause( 135347, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 29.85/30.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ] )
% 29.85/30.28 , clause( 135348, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 29.85/30.28 ) ) ] )
% 29.85/30.28 , clause( 135349, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135350, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135351, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135352, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), X ) ) ] )
% 29.85/30.28 , clause( 135353, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135354, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135355, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135356, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135357, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135358, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135359, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135360, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 29.85/30.28 , clause( 135361, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135362, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135363, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 29.85/30.28 , T, X ) ) ), =( Z, T ) ] )
% 29.85/30.28 , clause( 135364, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 29.85/30.28 , T, X ) ) ), =( Y, Z ) ] )
% 29.85/30.28 , clause( 135365, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.85/30.28 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 29.85/30.28 , clause( 135366, [ =( 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135367, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X
% 29.85/30.28 , W ), Y ) ) ] )
% 29.85/30.28 , clause( 135368, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135369, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T )
% 29.85/30.28 , 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 29.85/30.28 , clause( 135370, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 29.85/30.28 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 29.85/30.28 Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135371, [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135372, [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135373, [ =( 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135374, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 Y, Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 29.85/30.28 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ] )
% 29.85/30.28 , clause( 135375, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 29.85/30.28 X ), Y ), 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135376, [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W,
% 29.85/30.28 U, T ), 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ] )
% 29.85/30.28 , clause( 135377, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.85/30.28 ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 29.85/30.28 , X ), X ), X ) ) ] )
% 29.85/30.28 , clause( 135378, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 29.85/30.28 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135379, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135380, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135381, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135382, [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135383, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135384, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 29.85/30.28 , X ), X ) ) ] )
% 29.85/30.28 , clause( 135385, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.85/30.28 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 29.85/30.28 , X ), X ) ) ] )
% 29.85/30.28 , clause( 135386, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135387, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 29.85/30.28 , clause( 135388, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135389, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, U, X
% 29.85/30.28 ), ~( 'c_lessequals'( U, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135390, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135391, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135392, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135393, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ] )
% 29.85/30.28 , clause( 135394, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135395, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 29.85/30.28 , X ), X ) ) ] )
% 29.85/30.28 , clause( 135396, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.85/30.28 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 29.85/30.28 , X ), X ) ) ] )
% 29.85/30.28 , clause( 135397, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ) ) ] )
% 29.85/30.28 , clause( 135398, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.28 , =( 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135399, [ =( 'c_Set_Ovimage'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 29.85/30.28 , 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135400, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.28 , =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), X ), X ), X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135401, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 29.85/30.28 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135402, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135403, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), X ) ) ] )
% 29.85/30.28 , clause( 135404, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 29.85/30.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 29.85/30.28 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ] )
% 29.85/30.28 , clause( 135405, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 29.85/30.28 ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135406, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), Y ) ) ) ] )
% 29.85/30.28 , clause( 135407, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), Y ) ) ) ] )
% 29.85/30.28 , clause( 135408, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 29.85/30.28 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135409, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135410, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 29.85/30.28 , Z ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( Z ), X ), Y ) ) ] )
% 29.85/30.28 , clause( 135411, [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ] )
% 29.85/30.28 , clause( 135412, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.28 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135413, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.28 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135414, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135415, [ 'c_lessequals'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), Z,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135416, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Y, 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135417, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 29.85/30.28 ), Y ) ] )
% 29.85/30.28 , clause( 135418, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 29.85/30.28 ), Y ) ] )
% 29.85/30.28 , clause( 135419, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 29.85/30.28 ) ) ] )
% 29.85/30.28 , clause( 135420, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 29.85/30.28 ) ) ] )
% 29.85/30.28 , clause( 135421, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 29.85/30.28 ), Y ) ] )
% 29.85/30.28 , clause( 135422, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135423, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.85/30.28 , clause( 135424, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 29.85/30.28 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135425, [ =( 'c_Set_Ovimage'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 29.85/30.28 , 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135426, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.28 , =( 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), X ), X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135427, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 29.85/30.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 29.85/30.28 , X ), X ) ) ] )
% 29.85/30.28 , clause( 135428, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 29.85/30.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 29.85/30.28 , X ), X ) ) ] )
% 29.85/30.28 , clause( 135429, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 29.85/30.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 29.85/30.28 ), Y, X ) ) ] )
% 29.85/30.28 , clause( 135430, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 29.85/30.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 29.85/30.28 ), Y, X ) ) ] )
% 29.85/30.28 , clause( 135431, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 29.85/30.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135432, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 29.85/30.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135433, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z
% 29.85/30.28 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 29.85/30.28 , clause( 135434, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z
% 29.85/30.28 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 29.85/30.28 , clause( 135435, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( T ), Y ), U ) ) ), ~( hBOOL( hAPP(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 29.85/30.28 W, 'tc_bool' ) ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135436, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 29.85/30.28 hAPP( hAPP( T, Y ), U ) ), ~( hBOOL( hAPP(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 29.85/30.28 W, 'tc_bool' ) ), U ) ) ) ] )
% 29.85/30.28 , clause( 135437, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( T ), Y ), U ) ) ), ~( hBOOL( hAPP(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 29.85/30.28 W, 'tc_bool' ) ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135438, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135439, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 29.85/30.28 , clause( 135440, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135441, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z
% 29.85/30.28 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135442, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135443, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135444, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ),
% 29.85/30.28 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135445, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP(
% 29.85/30.28 hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135446, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ),
% 29.85/30.28 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( X ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 29.85/30.28 W, Z, U, 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135447, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( T ), U ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 29.85/30.28 Z, W, X, 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135448, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ),
% 29.85/30.28 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( X ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 29.85/30.28 W, Z, U, 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135449, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 29.85/30.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z,
% 29.85/30.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135450, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T,
% 29.85/30.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135451, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ] )
% 29.85/30.28 , clause( 135452, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 29.85/30.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 29.85/30.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135453, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 29.85/30.28 , 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135454, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 29.85/30.28 , Z, X ) ) ) ] )
% 29.85/30.28 , clause( 135455, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 29.85/30.28 , Z, X ) ) ) ] )
% 29.85/30.28 , clause( 135456, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 29.85/30.28 , Z, X ) ) ) ] )
% 29.85/30.28 , clause( 135457, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135458, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135459, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ) ) ) ) ] )
% 29.85/30.28 , clause( 135460, [ ~( =( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ), 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ), 'tc_bool' ) ) ), =( Y, Z ) ] )
% 29.85/30.28 , clause( 135461, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 29.85/30.28 ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135462, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 29.85/30.28 ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135463, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T
% 29.85/30.28 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( Z ), X ), Y ) ), =( Y, T ) ] )
% 29.85/30.28 , clause( 135464, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 29.85/30.28 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 29.85/30.28 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135465, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 29.85/30.28 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 29.85/30.28 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135466, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 29.85/30.28 , T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135467, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 29.85/30.28 , T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135468, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 29.85/30.28 , T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135469, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 29.85/30.28 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135470, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 29.85/30.28 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135471, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 29.85/30.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 29.85/30.28 , clause( 135472, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 29.85/30.28 ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135473, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 29.85/30.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.85/30.28 , clause( 135474, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 29.85/30.28 , clause( 135475, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135476, [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135477, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135478, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135479, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135480, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135481, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135482, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 29.85/30.28 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 29.85/30.28 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 29.85/30.28 , clause( 135483, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z
% 29.85/30.28 , 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135484, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ),
% 29.85/30.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), Z ) ) ) ) ] )
% 29.85/30.28 , clause( 135485, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 29.85/30.28 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 29.85/30.28 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 29.85/30.28 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135486, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X,
% 29.85/30.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'(
% 29.85/30.28 X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135487, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 29.85/30.28 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135488, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 29.85/30.28 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135489, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 29.85/30.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T
% 29.85/30.28 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T
% 29.85/30.28 ) ) ) ] )
% 29.85/30.28 , clause( 135490, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135491, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 29.85/30.28 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 29.85/30.28 , X ) ) ] )
% 29.85/30.28 , clause( 135492, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135493, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 29.85/30.28 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 29.85/30.28 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135494, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 29.85/30.28 ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X
% 29.85/30.28 ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 29.85/30.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 29.85/30.28 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ] )
% 29.85/30.28 , clause( 135495, [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 29.85/30.28 , clause( 135496, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 29.85/30.28 , clause( 135497, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 29.85/30.28 , clause( 135498, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 29.85/30.28 ) ) ) ] )
% 29.85/30.28 , clause( 135499, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135500, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135501, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.28 , =( 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ),
% 29.85/30.28 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ] )
% 29.85/30.28 , clause( 135502, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 29.85/30.28 , clause( 135503, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 29.85/30.28 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), T ) ) ] )
% 29.85/30.28 , clause( 135504, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 29.85/30.28 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 29.85/30.28 , 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135505, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 29.85/30.28 ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X
% 29.85/30.28 ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 29.85/30.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 29.85/30.28 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135506, [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X,
% 29.85/30.28 Y, Z, T ), Z, T ), Y, 'tc_fun'( T, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135507, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.28 , =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ),
% 29.85/30.28 X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ] )
% 29.85/30.28 , clause( 135508, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 Y, Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.28 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ] )
% 29.85/30.28 , clause( 135509, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 29.85/30.28 X ), Y ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135510, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135511, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 29.85/30.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135512, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 29.85/30.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135513, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 29.85/30.28 , clause( 135514, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 29.85/30.28 , 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), T ), X, T ) ) ) ] )
% 29.85/30.28 , clause( 135515, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), Z ) ) ] )
% 29.85/30.28 , clause( 135516, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 29.85/30.28 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ] )
% 29.85/30.28 , clause( 135517, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z )
% 29.85/30.28 , 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 29.85/30.28 , clause( 135518, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 29.85/30.28 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 29.85/30.28 , clause( 135519, [ ~( =(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool'
% 29.85/30.28 ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ] )
% 29.85/30.28 , clause( 135520, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135521, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 X ) ) ] )
% 29.85/30.28 , clause( 135522, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 29.85/30.28 , clause( 135523, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 29.85/30.28 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 29.85/30.28 ) ) ) ] )
% 29.85/30.28 , clause( 135524, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135525, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 29.85/30.28 X, Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T,
% 29.85/30.28 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 29.85/30.28 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135526, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ] )
% 29.85/30.28 , clause( 135527, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135528, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.28 , =( 'c_Complete__Lattice_OSup__class_OSup'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 29.85/30.28 , clause( 135529, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135530, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135531, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135532, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135533, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135534, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X,
% 29.85/30.28 hAPP( Y, W ) ) ) ] )
% 29.85/30.28 , clause( 135535, [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y,
% 29.85/30.28 T, U, W ), Z ) ) ] )
% 29.85/30.28 , clause( 135536, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 29.85/30.28 , clause( 135537, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 29.85/30.28 , clause( 135538, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135539, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 29.85/30.28 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), Y ) ) ) ] )
% 29.85/30.28 , clause( 135540, [ hBOOL( hAPP(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 29.85/30.28 , clause( 135541, [ hBOOL( hAPP(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 29.85/30.28 , clause( 135542, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135543, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135544, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135545, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135546, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135547, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135548, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 29.85/30.28 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135549, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y,
% 29.85/30.28 Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ] )
% 29.85/30.28 , clause( 135550, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 29.85/30.28 , clause( 135551, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 29.85/30.28 , clause( 135552, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 29.85/30.28 X, 'tc_bool' ) ), Y ) ] )
% 29.85/30.28 , clause( 135553, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135554, [ =( 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 29.85/30.28 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 29.85/30.28 ) ) ) ] )
% 29.85/30.28 , clause( 135555, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ] )
% 29.85/30.28 , clause( 135556, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135557, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135558, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 29.85/30.28 , X ), X ) ) ] )
% 29.85/30.28 , clause( 135559, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 29.85/30.28 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 29.85/30.28 Y, X ) ) ] )
% 29.85/30.28 , clause( 135560, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 29.85/30.28 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135561, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ) ] )
% 29.85/30.28 , clause( 135562, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135563, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135564, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135565, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 29.85/30.28 ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 29.85/30.28 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135566, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 29.85/30.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 ) ) ] )
% 29.85/30.28 , clause( 135567, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 29.85/30.28 , clause( 135568, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 29.85/30.28 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ] )
% 29.85/30.28 , clause( 135569, [ =( 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135570, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135571, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP(
% 29.85/30.28 hAPP( 'c_in'( Z ), X ), Y ) ) ) ] )
% 29.85/30.28 , clause( 135572, [ hBOOL( hAPP(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ] )
% 29.85/30.28 , clause( 135573, [ hBOOL( hAPP(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ] )
% 29.85/30.28 , clause( 135574, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135575, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135576, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 29.85/30.28 'c_Set_Oimage'( Y, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z )
% 29.85/30.28 , T ) ) ) ] )
% 29.85/30.28 , clause( 135577, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 29.85/30.28 'c_Set_Oimage'( Y, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z )
% 29.85/30.28 , T ) ) ) ] )
% 29.85/30.28 , clause( 135578, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135579, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 29.85/30.28 , clause( 135580, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 29.85/30.28 Y, Z ) ] )
% 29.85/30.28 , clause( 135581, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 29.85/30.28 , X ) ) ] )
% 29.85/30.28 , clause( 135582, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 29.85/30.28 , X ) ) ] )
% 29.85/30.28 , clause( 135583, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135584, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 29.85/30.28 Z, Y ) ] )
% 29.85/30.28 , clause( 135585, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 29.85/30.28 , X ) ) ] )
% 29.85/30.28 , clause( 135586, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 29.85/30.28 ~( 'c_lessequals'( U, T, X ) ) ] )
% 29.85/30.28 , clause( 135587, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 29.85/30.28 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135588, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.85/30.28 , clause( 135589, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 29.85/30.28 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.85/30.28 , clause( 135590, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 29.85/30.28 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 29.85/30.28 , clause( 135591, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 29.85/30.28 , clause( 135592, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 29.85/30.28 , clause( 135593, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 29.85/30.28 , clause( 135594, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 29.85/30.28 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135595, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 29.85/30.28 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.85/30.28 , clause( 135596, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 29.85/30.28 , clause( 135597, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 29.85/30.28 , clause( 135598, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.28 , 'c_lessequals'( Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X )
% 29.85/30.28 , X ), ~( 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ] )
% 29.85/30.28 , clause( 135599, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 29.85/30.28 Y, X ) ] )
% 29.85/30.28 , clause( 135600, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 29.85/30.28 Z, X ) ] )
% 29.85/30.28 , clause( 135601, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 29.85/30.28 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135602, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 29.85/30.28 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135603, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 29.85/30.28 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135604, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 29.85/30.28 , clause( 135605, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 29.85/30.28 , clause( 135606, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135607, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ] )
% 29.85/30.28 , clause( 135608, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 29.85/30.28 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135609, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 29.85/30.28 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135610, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.28 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135611, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135612, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 29.85/30.28 , clause( 135613, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135614, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 29.85/30.28 , X ), X ) ) ] )
% 29.85/30.28 , clause( 135615, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 29.85/30.28 , clause( 135616, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135617, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 29.85/30.28 , clause( 135618, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135619, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.85/30.28 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 29.85/30.28 , clause( 135620, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135621, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 29.85/30.28 , clause( 135622, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135623, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135624, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ] )
% 29.85/30.28 , clause( 135625, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 29.85/30.28 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135626, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135627, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 29.85/30.28 ), X ) ] )
% 29.85/30.28 , clause( 135628, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 29.85/30.28 ), X ) ] )
% 29.85/30.28 , clause( 135629, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135630, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135631, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 29.85/30.28 , 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 29.85/30.28 , clause( 135632, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 29.85/30.28 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 29.85/30.28 , clause( 135633, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135634, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 29.85/30.28 , clause( 135635, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 29.85/30.28 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.85/30.28 , clause( 135636, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 29.85/30.28 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 29.85/30.28 , clause( 135637, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135638, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 29.85/30.28 , clause( 135639, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 29.85/30.28 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 29.85/30.28 , clause( 135640, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 29.85/30.28 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 29.85/30.28 , clause( 135641, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 29.85/30.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 29.85/30.28 , clause( 135642, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 29.85/30.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 29.85/30.28 , clause( 135643, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 29.85/30.28 'c_Inductive_Ocomplete__lattice__class_Ogfp'( T, 'tc_fun'( X, 'tc_bool' )
% 29.85/30.28 ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, U, W, X ), hAPP( T,
% 29.85/30.28 'c_Set_Oimage'( Y, U, W, X ) ), 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( W ), Z ), U ) ) ) ] )
% 29.85/30.28 , clause( 135644, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 29.85/30.28 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135645, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 29.85/30.28 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP(
% 29.85/30.28 hAPP( 'c_in'( T ), Y ), Z ) ) ] )
% 29.85/30.28 , clause( 135646, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 29.85/30.28 hAPP( hAPP( 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 29.85/30.28 , Y ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ),
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135647, [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_COMBC'( 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 29.85/30.28 'tc_bool' ), 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a',
% 29.85/30.28 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP(
% 29.85/30.28 hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 't_a',
% 29.85/30.28 'tc_bool' ) ) ) ) ] )
% 29.85/30.28 , clause( 135648, [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_COMBC'( 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 29.85/30.28 'tc_bool' ), 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a',
% 29.85/30.28 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP(
% 29.85/30.28 hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 't_a',
% 29.85/30.28 'tc_bool' ) ) ) ) ] )
% 29.85/30.28 , clause( 135649, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 29.85/30.28 'tc_fun'( T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X )
% 29.85/30.28 ) ) ] )
% 29.85/30.28 , clause( 135650, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 Y, Z, 'tc_fun'( T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ) ) ] )
% 29.85/30.28 , clause( 135651, [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z,
% 29.85/30.28 'tc_fun'( T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X
% 29.85/30.28 ) ) ) ] )
% 29.85/30.28 , clause( 135652, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z
% 29.85/30.28 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135653, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ), =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135654, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ),
% 29.85/30.28 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 29.85/30.28 Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135655, [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 29.85/30.28 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 29.85/30.28 ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135656, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 29.85/30.28 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135657, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' )
% 29.85/30.28 ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135658, [ 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 29.85/30.28 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 29.85/30.28 , 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135659, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 29.85/30.28 ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135660, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135661, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135662, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135663, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 hBOOL( hAPP( Y, 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y
% 29.85/30.28 , Z ) ) ) ) ] )
% 29.85/30.28 , clause( 135664, [ 'c_lessequals'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135665, [ 'c_lessequals'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135666, [ 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135667, [ 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135668, [ 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 29.85/30.28 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 29.85/30.28 , 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135669, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135670, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135671, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 29.85/30.28 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135672, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135673, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 29.85/30.28 , clause( 135674, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 29.85/30.28 , clause( 135675, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 29.85/30.28 , clause( 135676, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 29.85/30.28 , clause( 135677, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 29.85/30.28 , clause( 135678, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 29.85/30.28 , X ) ) ), =( Y, Z ) ] )
% 29.85/30.28 , clause( 135679, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 29.85/30.28 , X ) ) ), =( Y, Z ) ] )
% 29.85/30.28 , clause( 135680, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 29.85/30.28 ) ) ) ), =( X, Z ) ] )
% 29.85/30.28 , clause( 135681, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 29.85/30.28 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 29.85/30.28 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 29.85/30.28 ~( 'c_lessequals'( T, Y, X ) ) ] )
% 29.85/30.28 , clause( 135682, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 29.85/30.28 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 29.85/30.28 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 29.85/30.28 ~( 'c_lessequals'( T, Y, X ) ) ] )
% 29.85/30.28 , clause( 135683, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 29.85/30.28 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ] )
% 29.85/30.28 , clause( 135684, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 29.85/30.28 ), =( Z, Y ) ] )
% 29.85/30.28 , clause( 135685, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135686, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 29.85/30.28 ), =( Z, Y ) ] )
% 29.85/30.28 , clause( 135687, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 29.85/30.28 , clause( 135688, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135689, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 29.85/30.28 , clause( 135690, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 29.85/30.28 , clause( 135691, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.85/30.28 , clause( 135692, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135693, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.85/30.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 29.85/30.28 , clause( 135694, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.85/30.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 29.85/30.28 , clause( 135695, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.85/30.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 29.85/30.28 , clause( 135696, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.85/30.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 29.85/30.28 , clause( 135697, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135698, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ] )
% 29.85/30.28 , clause( 135699, [ =(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_Set_Oinsert'( X
% 29.85/30.28 , Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 29.85/30.28 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135700, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 'c_lessequals'(
% 29.85/30.28 Y, Z, X ) ] )
% 29.85/30.28 , clause( 135701, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135702, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 29.85/30.28 , clause( 135703, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 29.85/30.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 29.85/30.28 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 29.85/30.28 , clause( 135704, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X )
% 29.85/30.28 , T ) ) ) ] )
% 29.85/30.28 , clause( 135705, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 29.85/30.28 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135706, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U
% 29.85/30.28 ), 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135707, [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y
% 29.85/30.28 , hAPP( X, W ) ) ) ] )
% 29.85/30.28 , clause( 135708, [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T )
% 29.85/30.28 , Y ), 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) )
% 29.85/30.28 ) ) ] )
% 29.85/30.28 , clause( 135709, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U
% 29.85/30.28 , V0, W ), 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135710, [ =( 'c_Set_Oinsert'( X,
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ] )
% 29.85/30.28 , clause( 135711, [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( hAPP( Y, 'v_x' ), X ) ) ] )
% 29.85/30.28 , clause( 135712, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135713, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 29.85/30.28 , clause( 135714, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 29.85/30.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135715, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135716, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 29.85/30.28 , clause( 135717, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135718, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135719, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135720, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135721, [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135722, [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135723, [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U
% 29.85/30.28 , T ), 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ] )
% 29.85/30.28 , clause( 135724, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 29.85/30.28 , clause( 135725, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 29.85/30.28 , clause( 135726, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 29.85/30.28 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 29.85/30.28 hAPP( 'c_in'( Z ), X ), Y ) ) ) ] )
% 29.85/30.28 , clause( 135727, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 29.85/30.28 , clause( 135728, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 29.85/30.28 , clause( 135729, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 29.85/30.28 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 29.85/30.28 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 29.85/30.28 , clause( 135730, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.28 , =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 29.85/30.28 ] )
% 29.85/30.28 , clause( 135731, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 29.85/30.28 , clause( 135732, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135733, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135734, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.28 Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135735, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135736, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ] )
% 29.85/30.28 , clause( 135737, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135738, [ =( 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135739, [ =(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, Z, 'tc_fun'(
% 29.85/30.28 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 29.85/30.28 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135740, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 29.85/30.28 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.85/30.28 , clause( 135741, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 29.85/30.28 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ] )
% 29.85/30.28 , clause( 135742, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 29.85/30.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135743, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 29.85/30.28 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X
% 29.85/30.28 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135744, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 29.85/30.28 X, Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T,
% 29.85/30.28 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T, 'tc_fun'(
% 29.85/30.28 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135745, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W
% 29.85/30.28 , V0, V1, T, U ) ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2
% 29.85/30.28 ) ) ) ] )
% 29.85/30.28 , clause( 135746, [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) )
% 29.85/30.28 ) ), =( hAPP( 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP(
% 29.85/30.28 'c_Fun_Ocomp'( T, U, V3, V1, V4 ), W ) ) ] )
% 29.85/30.28 , clause( 135747, [ =( X, 'c_Set_Oinsert'( Y,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X,
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 29.85/30.28 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135748, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T
% 29.85/30.28 ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 29.85/30.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135749, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135750, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 29.85/30.28 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 29.85/30.28 Y, X ) ) ] )
% 29.85/30.28 , clause( 135751, [ =(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 29.85/30.28 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 29.85/30.28 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135752, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 29.85/30.28 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 29.85/30.28 , clause( 135753, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 29.85/30.28 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 29.85/30.28 , clause( 135754, [ hBOOL( hAPP(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( hAPP( X, T )
% 29.85/30.28 ) ) ] )
% 29.85/30.28 , clause( 135755, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.85/30.28 ), =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 29.85/30.28 , X ), X ), X ) ) ] )
% 29.85/30.28 , clause( 135756, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 29.85/30.28 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 29.85/30.28 , clause( 135757, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.85/30.28 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 29.85/30.28 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 29.85/30.28 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 29.85/30.28 , clause( 135758, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135759, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 29.85/30.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135760, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 29.85/30.28 , X ) ) ] )
% 29.85/30.28 , clause( 135761, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 29.85/30.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 29.85/30.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 29.85/30.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135762, [ =( 'c_Set_Oimage'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 29.85/30.28 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 29.85/30.28 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135763, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135764, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.85/30.28 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 29.85/30.28 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 29.85/30.28 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135765, [ =(
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 'c_Set_Oinsert'( X
% 29.85/30.28 , Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 29.85/30.28 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( T, X ),
% 29.85/30.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T, Z, 'tc_fun'(
% 29.85/30.28 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135766, [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W,
% 29.85/30.28 Z, U, V0 ), 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0
% 29.85/30.28 ) ) ] )
% 29.85/30.28 , clause( 135767, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.85/30.28 Y, X ) ) ] )
% 29.85/30.28 , clause( 135768, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.85/30.28 Y, X ) ) ] )
% 29.85/30.28 , clause( 135769, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.85/30.28 Y, X ) ) ] )
% 29.85/30.28 , clause( 135770, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.85/30.28 Y, X ) ) ] )
% 29.85/30.28 , clause( 135771, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 29.85/30.28 Y, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135772, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135773, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135774, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135775, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135776, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'(
% 29.85/30.28 Z, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135777, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 29.85/30.28 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135778, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 29.85/30.28 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135779, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool'
% 29.85/30.28 ) ), 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135780, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 29.85/30.28 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 29.85/30.28 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135781, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 29.85/30.28 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135782, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_lessequals'( 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135783, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135784, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135785, [ 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135786, [ 'c_lessequals'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135787, [ 'c_lessequals'( X,
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135788, [ 'c_lessequals'(
% 29.85/30.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 29.85/30.28 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135789, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 29.85/30.28 , clause( 135790, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ),
% 29.85/30.28 'c_Set_Ovimage'( X, U, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_lessequals'( Y, U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135791, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135792, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.28 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 29.85/30.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.28 , clause( 135793, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 29.85/30.28 hAPP( X, 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) )
% 29.85/30.28 ) ] )
% 29.85/30.28 , clause( 135794, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ),
% 29.85/30.28 hAPP( X, hAPP( Y, 'v_x' ) ) ) ] )
% 29.85/30.28 , clause( 135795, [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ] )
% 29.85/30.28 , clause( 135796, [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ),
% 29.85/30.28 hAPP( Y, hAPP( X, 'v_x' ) ) ) ] )
% 29.85/30.28 , clause( 135797, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 29.85/30.28 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ] )
% 29.85/30.28 , clause( 135798, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 29.85/30.28 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 29.85/30.28 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 29.85/30.28 't_a' ) ), 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ) ), T
% 29.85/30.28 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ] )
% 29.85/30.28 , clause( 135799, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 29.85/30.28 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 29.85/30.28 , Z ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ),
% 29.85/30.28 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), 't_a' ) ) ]
% 29.85/30.28 )
% 29.85/30.28 , clause( 135800, [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ),
% 29.85/30.28 'c_Hoare__Mirabelle_Otriple__valid'(
% 29.85/30.28 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), Z, 't_a' ),
% 29.85/30.29 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Z
% 29.85/30.29 ), X ) ) ) ] )
% 29.85/30.29 , clause( 135801, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 29.85/30.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 29.85/30.29 , Z ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X,
% 29.85/30.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ), 't_a' ) ), ~(
% 29.85/30.29 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ] )
% 29.85/30.29 , clause( 135802, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 29.85/30.29 'c_lessequals'( Y, T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 29.85/30.29 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ] )
% 29.85/30.29 , clause( 135803, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 29.85/30.29 'c_lessequals'( T, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 29.85/30.29 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 29.85/30.29 , clause( 135804, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 29.85/30.29 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 29.85/30.29 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135805, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.29 , 'c_lessequals'( Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X )
% 29.85/30.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 29.85/30.29 , clause( 135806, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.29 , 'c_lessequals'( 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X )
% 29.85/30.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ] )
% 29.85/30.29 , clause( 135807, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 29.85/30.29 X ), Y ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), ~(
% 29.85/30.29 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.29 , clause( 135808, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 29.85/30.29 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ) ) ] )
% 29.85/30.29 , clause( 135809, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.29 , 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 29.85/30.29 Y, Z, T, X ), hAPP( Z, U ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ),
% 29.85/30.29 Y ) ) ) ] )
% 29.85/30.29 , clause( 135810, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 29.85/30.29 X ), Y ), 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), ~(
% 29.85/30.29 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.29 , clause( 135811, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 29.85/30.29 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ) ) ] )
% 29.85/30.29 , clause( 135812, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 29.85/30.29 , 'c_lessequals'( hAPP( Y, Z ),
% 29.85/30.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ), X )
% 29.85/30.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ] )
% 29.85/30.29 , clause( 135813, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'(
% 29.85/30.29 Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 29.85/30.29 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ] )
% 29.85/30.29 , clause( 135814, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.29 hBOOL( hAPP( hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1'(
% 29.85/30.29 X, Y, Z ) ), Y ) ) ) ] )
% 29.85/30.29 , clause( 135815, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 29.85/30.29 hAPP( hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1'( X
% 29.85/30.29 , Y, Z ) ), X ) ) ] )
% 29.85/30.29 , clause( 135816, [ 'c_lessequals'( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'(
% 29.85/30.29 X, 'tc_bool' ), 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X,
% 29.85/30.29 'tc_bool' ), 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'(
% 29.85/30.29 Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135817, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.29 'c_lessequals'( 'c_COMBC'( 'c_in'( Z ), X, Z, 'tc_fun'( Z, 'tc_bool' ),
% 29.85/30.29 'tc_bool' ), 'c_COMBC'( 'c_in'( Z ), Y, Z, 'tc_fun'( Z, 'tc_bool' ),
% 29.85/30.29 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135818, [ 'c_lessequals'(
% 29.85/30.29 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 29.85/30.29 T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 29.85/30.29 hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ] )
% 29.85/30.29 , clause( 135819, [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool'
% 29.85/30.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 29.85/30.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 29.85/30.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135820, [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool'
% 29.85/30.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'(
% 29.85/30.29 X, 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Y, U,
% 29.85/30.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135821, [ 'c_lessequals'( hAPP( X, Y ),
% 29.85/30.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 29.85/30.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.29 'c_in'( T ), Y ), Z ) ) ) ] )
% 29.85/30.29 , clause( 135822, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 29.85/30.29 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'(
% 29.85/30.29 'c_Set_Oimage'( Y, W, U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135823, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.29 hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 29.85/30.29 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1'( X, Y, Z ) ), Y ) ) ) ] )
% 29.85/30.29 , clause( 135824, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 29.85/30.29 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, 'tc_fun'( X, 'tc_bool' )
% 29.85/30.29 ) ) ), ~( 'c_lessequals'( T, hAPP( Z, T ), 'tc_fun'( X, 'tc_bool' ) ) )
% 29.85/30.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 29.85/30.29 , clause( 135825, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 29.85/30.29 hAPP( hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1'( X, Y
% 29.85/30.29 , Z ) ), X ) ) ] )
% 29.85/30.29 , clause( 135826, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~(
% 29.85/30.29 'c_lessequals'( 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.29 ) ] )
% 29.85/30.29 , clause( 135827, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 29.85/30.29 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 29.85/30.29 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 29.85/30.29 , clause( 135828, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 29.85/30.29 hAPP( hAPP( 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X,
% 29.85/30.29 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135829, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 29.85/30.29 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 29.85/30.29 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 29.85/30.29 , clause( 135830, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.29 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) )
% 29.85/30.29 ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ] )
% 29.85/30.29 , clause( 135831, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 29.85/30.29 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 29.85/30.29 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 29.85/30.29 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 29.85/30.29 ] )
% 29.85/30.29 , clause( 135832, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 29.85/30.29 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 29.85/30.29 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 29.85/30.29 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 29.85/30.29 ) ), X ) ) ] )
% 29.85/30.29 , clause( 135833, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.29 , ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.29 , clause( 135834, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.29 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.29 ) ] )
% 29.85/30.29 , clause( 135835, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 29.85/30.29 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ] )
% 29.85/30.29 , clause( 135836, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.29 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 29.85/30.29 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135837, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.29 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 29.85/30.29 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135838, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 29.85/30.29 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 29.85/30.29 ) ) ] )
% 29.85/30.29 , clause( 135839, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 29.85/30.29 ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.29 , clause( 135840, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.29 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 29.85/30.29 ] )
% 29.85/30.29 , clause( 135841, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 29.85/30.29 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.29 , clause( 135842, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z
% 29.85/30.29 , X ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X,
% 29.85/30.29 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135843, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 29.85/30.29 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.29 , clause( 135844, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 29.85/30.29 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 29.85/30.29 ) ) ) ] )
% 29.85/30.29 , clause( 135845, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 Y, Z, X ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 29.85/30.29 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135846, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 Y, Z, X ), 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 29.85/30.29 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 29.85/30.29 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135847, [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 29.85/30.29 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 29.85/30.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ] )
% 29.85/30.29 , clause( 135848, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 29.85/30.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 29.85/30.29 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 29.85/30.29 't_a' ) ), 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ) ),
% 29.85/30.29 Z ) ) ] )
% 29.85/30.29 , clause( 135849, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 29.85/30.29 , clause( 135850, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X,
% 29.85/30.29 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 29.85/30.29 , clause( 135851, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 Y, Y, X ) ] )
% 29.85/30.29 , clause( 135852, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.29 Y, X ) ] )
% 29.85/30.29 , clause( 135853, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 29.85/30.29 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135854, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 29.85/30.29 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 29.85/30.29 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135855, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 29.85/30.29 , clause( 135856, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 29.85/30.29 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'(
% 29.85/30.29 X, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135857, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~(
% 29.85/30.29 'c_lessequals'( T, Z, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.29 'c_in'( X ), Y ), T ) ) ) ] )
% 29.85/30.29 , clause( 135858, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 29.85/30.29 , clause( 135859, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 29.85/30.29 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'(
% 29.85/30.29 X, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135860, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 29.85/30.29 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'(
% 29.85/30.29 X, 'tc_bool' ) ) ) ] )
% 29.85/30.29 , clause( 135861, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 29.85/30.29 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 29.85/30.29 ] )
% 29.85/30.29 , clause( 135862, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.85/30.29 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 29.85/30.29 )
% 29.85/30.29 , clause( 135863, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 29.85/30.29 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.29 , clause( 135864, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 29.85/30.29 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.29 , clause( 135865, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 29.85/30.29 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.85/30.29 , clause( 135866, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 29.85/30.29 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 29.85/30.29 )
% 29.85/30.29 , clause( 135867, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 29.85/30.29 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 29.85/30.29 )
% 29.85/30.29 , clause( 135868, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 29.85/30.29 hAPP( Z, Y ) ) ) ] )
% 29.85/30.29 , clause( 135869, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z
% 29.85/30.29 ), Y ), X ) ) ) ] )
% 29.85/30.29 , clause( 135870, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z
% 29.85/30.29 ), hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 29.85/30.29 , clause( 135871, [ 'c_lessequals'( 'v_tsa', 'v_Ga', 'tc_fun'(
% 29.85/30.29 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ] )
% 29.85/30.29 , clause( 135872, [ hBOOL( hAPP( hAPP( 'c_in'(
% 29.85/30.29 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_xa' ), 'v_tsa' ) ) ] )
% 29.85/30.29 , clause( 135873, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa',
% 29.85/30.29 't_a' ) ) ] )
% 29.85/30.29 , clause( 135874, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' )
% 29.85/30.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 29.85/30.29 , X ), 'v_Ga' ) ) ) ] )
% 29.85/30.29 , clause( 135875, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'(
% 29.85/30.29 X, Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 29.85/30.29 , clause( 135876, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y )
% 29.85/30.29 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 29.85/30.29 , clause( 135877, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 29.85/30.29 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 29.85/30.29 , clause( 135878, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) )
% 29.85/30.29 , ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 29.85/30.29 , clause( 135879, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) )
% 29.85/30.29 , ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 29.85/30.29 , clause( 135880, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) )
% 29.85/30.29 , ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 29.85/30.29 , clause( 135881, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 29.85/30.29 'class_Orderings_Opreorder'( Y ) ) ] )
% 29.85/30.29 , clause( 135882, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 29.85/30.29 'class_Lattices_Olattice'( Y ) ) ] )
% 29.85/30.29 , clause( 135883, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 29.85/30.29 'class_Orderings_Oorder'( Y ) ) ] )
% 29.85/30.29 , clause( 135884, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 29.85/30.29 'class_Orderings_Obot'( Y ) ) ] )
% 29.85/30.29 , clause( 135885, [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~(
% 29.85/30.29 'class_HOL_Ouminus'( Y ) ) ] )
% 29.85/30.29 , clause( 135886, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 29.85/30.29 'class_HOL_Ominus'( Y ) ) ] )
% 29.85/30.29 , clause( 135887, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~(
% 29.85/30.29 'class_HOL_Oord'( Y ) ) ] )
% 29.85/30.29 , clause( 135888, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135889, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135890, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135891, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135892, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135893, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135894, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135895, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135896, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135897, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 29.85/30.29 , clause( 135898, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool'
% 29.85/30.29 ) ] )
% 29.85/30.29 , clause( 135899, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135900, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135901, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135902, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135903, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135904, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135905, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135906, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135907, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135908, [ 'class_HOL_Ouminus'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135909, [ 'class_HOL_Ominus'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135910, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 29.85/30.29 , clause( 135911, [ 'c_fequal'( X, X, Y ) ] )
% 29.85/30.29 , clause( 135912, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 29.85/30.29 ] ).
% 29.85/30.29
% 29.85/30.29
% 29.85/30.29
% 29.85/30.29 subsumption(
% 29.85/30.29 clause( 78, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 29.85/30.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 29.85/30.29 'tc_bool' ) ), Y ) ) ) ] )
% 29.85/30.29 , clause( 135407, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 29.85/30.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 29.85/30.29 'tc_bool' ) ), Y ) ) ) ] )
% 29.85/30.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 29.85/30.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 29.85/30.29
% 29.85/30.29
% 29.85/30.29 subsumption(
% 29.85/30.29 clause( 182, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 29.85/30.29 , clause( 135536, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 29.85/30.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.85/30.29 ), ==>( 1, 1 )] ) ).
% 29.85/30.29
% 29.85/30.29
% 29.85/30.29 subsumption(
% 29.85/30.29 clause( 215, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP(
% 29.85/30.29 'c_in'( Z ), X ), Y ) ) ) ] )
% 29.85/30.29 , clause( 135571, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP(
% 29.85/30.29 hAPP( 'c_in'( Z ), X ), Y ) ) ) ] )
% 29.85/30.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 29.85/30.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 29.85/30.29
% 29.85/30.29
% 29.85/30.29 subsumption(
% 29.85/30.29 clause( 250, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 29.85/30.29 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.29 , clause( 135625, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 29.85/30.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 29.85/30.29 'c_lessequals'( Z, Y, X ) ) ] )
% 29.85/30.29 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 29.85/30.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 29.85/30.29
% 29.85/30.29
% 29.85/30.29 subsumption(
% 29.96/30.30 clause( 307, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.96/30.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 29.96/30.30 , clause( 135695, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.96/30.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 29.96/30.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 29.96/30.30 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 29.96/30.30 ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 subsumption(
% 29.96/30.30 clause( 326, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 29.96/30.30 , clause( 135716, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 29.96/30.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 29.96/30.30 permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 subsumption(
% 29.96/30.30 clause( 447, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 29.96/30.30 Z, Y ) ) ) ] )
% 29.96/30.30 , clause( 135868, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 29.96/30.30 hAPP( Z, Y ) ) ) ] )
% 29.96/30.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 29.96/30.30 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 subsumption(
% 29.96/30.30 clause( 450, [ 'c_lessequals'( 'v_tsa', 'v_Ga', 'tc_fun'(
% 29.96/30.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ] )
% 29.96/30.30 , clause( 135871, [ 'c_lessequals'( 'v_tsa', 'v_Ga', 'tc_fun'(
% 29.96/30.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ] )
% 29.96/30.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 subsumption(
% 29.96/30.30 clause( 451, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 29.96/30.30 't_a' ) ), 'v_xa' ), 'v_tsa' ) ) ] )
% 29.96/30.30 , clause( 135872, [ hBOOL( hAPP( hAPP( 'c_in'(
% 29.96/30.30 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_xa' ), 'v_tsa' ) ) ] )
% 29.96/30.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 subsumption(
% 29.96/30.30 clause( 452, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa', 't_a'
% 29.96/30.30 ) ) ] )
% 29.96/30.30 , clause( 135873, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa',
% 29.96/30.30 't_a' ) ) ] )
% 29.96/30.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 subsumption(
% 29.96/30.30 clause( 453, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' ), ~(
% 29.96/30.30 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X )
% 29.96/30.30 , 'v_Ga' ) ) ) ] )
% 29.96/30.30 , clause( 135874, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' )
% 29.96/30.30 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 29.96/30.30 , X ), 'v_Ga' ) ) ) ] )
% 29.96/30.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 29.96/30.30 1 )] ) ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 subsumption(
% 29.96/30.30 clause( 456, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ),
% 29.96/30.30 ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 29.96/30.30 , clause( 135877, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 29.96/30.30 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 29.96/30.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.96/30.30 ), ==>( 1, 1 )] ) ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 subsumption(
% 29.96/30.30 clause( 484, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 29.96/30.30 , clause( 135905, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 29.96/30.30 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 eqswap(
% 29.96/30.30 clause( 139833, [ =( Y, X ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'( X,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 29.96/30.30 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Z, Y ) ] )
% 29.96/30.30 , clause( 307, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.96/30.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 29.96/30.30 , 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, U ),
% 29.96/30.30 :=( U, Y )] )).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 eqswap(
% 29.96/30.30 clause( 139835, [ =( Y, X ), =( Y, Z ), ~( =( 'c_Set_Oinsert'( X,
% 29.96/30.30 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 29.96/30.30 'tc_bool' ) ), T ), T ), 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) )
% 29.96/30.30 ] )
% 29.96/30.30 , clause( 139833, [ =( Y, X ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'( X
% 29.96/30.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 29.96/30.30 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Z, Y ) ] )
% 29.96/30.30 , 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, T ),
% 29.96/30.30 :=( U, U )] )).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 eqswap(
% 29.96/30.30 clause( 139836, [ ~( =( 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.96/30.30 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( U, X ), =( U, Y ) ] )
% 29.96/30.30 , clause( 139835, [ =( Y, X ), =( Y, Z ), ~( =( 'c_Set_Oinsert'( X,
% 29.96/30.30 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 29.96/30.30 'tc_bool' ) ), T ), T ), 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) )
% 29.96/30.30 ] )
% 29.96/30.30 , 2, substitution( 0, [ :=( X, X ), :=( Y, U ), :=( Z, Y ), :=( T, Z ),
% 29.96/30.30 :=( U, T )] )).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 eqfact(
% 29.96/30.30 clause( 139879, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'(
% 29.96/30.30 T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), U ),
% 29.96/30.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( U, 'tc_bool' ) ), U ), U ) ) ), =( T, Y ) ] )
% 29.96/30.30 , clause( 139836, [ ~( =( 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.96/30.30 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( U, X ), =( U, Y ) ] )
% 29.96/30.30 , 2, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, U ), :=( T, Z ),
% 29.96/30.30 :=( U, T )] )).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 eqswap(
% 29.96/30.30 clause( 139882, [ =( Y, X ), ~( =( Z, Y ) ), ~( =( 'c_Set_Oinsert'( T,
% 29.96/30.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 29.96/30.30 'tc_bool' ) ), U ), U ), 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), U ) ) )
% 29.96/30.30 ] )
% 29.96/30.30 , clause( 139879, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Z,
% 29.96/30.30 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 29.96/30.30 'tc_bool' ) ), U ), U ), 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), U ) ) )
% 29.96/30.30 , =( T, Y ) ] )
% 29.96/30.30 , 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X ),
% 29.96/30.30 :=( U, U )] )).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 eqswap(
% 29.96/30.30 clause( 139884, [ ~( =( 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.96/30.30 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( T, Y ), ~( =( U, T ) ) ] )
% 29.96/30.30 , clause( 139882, [ =( Y, X ), ~( =( Z, Y ) ), ~( =( 'c_Set_Oinsert'( T,
% 29.96/30.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 29.96/30.30 'tc_bool' ) ), U ), U ), 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), U ) ) )
% 29.96/30.30 ] )
% 29.96/30.30 , 2, substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, U ), :=( T, X ),
% 29.96/30.30 :=( U, Z )] )).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 subsumption(
% 29.96/30.30 clause( 505, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X
% 29.96/30.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 29.96/30.30 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Y, Z ) ] )
% 29.96/30.30 , clause( 139884, [ ~( =( 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U,
% 29.96/30.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.96/30.30 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( T, Y ), ~( =( U, T ) ) ] )
% 29.96/30.30 , substitution( 0, [ :=( X, U ), :=( Y, Z ), :=( Z, T ), :=( T, Y ), :=( U
% 29.96/30.30 , X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] )
% 29.96/30.30 ).
% 29.96/30.30
% 29.96/30.30
% 29.96/30.30 eqswap(
% 29.96/30.30 clause( 139894, [ ~( =( Y, X ) ), ~( =( 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'(
% 29.96/30.30 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 29.96/30.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 29.96/30.30 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------