TSTP Solution File: SWV858-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV858-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 33.16s 33.52s
% Output : Refutation 33.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV858-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 05:01:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.89/1.28 *** allocated 10000 integers for termspace/termends
% 0.89/1.28 *** allocated 10000 integers for clauses
% 0.89/1.28 *** allocated 10000 integers for justifications
% 0.89/1.28 *** allocated 15000 integers for termspace/termends
% 0.89/1.28 Bliksem 1.12
% 0.89/1.28
% 0.89/1.28
% 0.89/1.28 Automatic Strategy Selection
% 0.89/1.28
% 0.89/1.28 Clauses:
% 0.89/1.28 [
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.28 Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.89/1.28 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.89/1.28 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.89/1.28 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.28 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.89/1.28 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.28 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.28 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.28 ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.89/1.28 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.89/1.28 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.89/1.28 ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.89/1.28 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.89/1.28 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.28 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 0.89/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 0.89/1.28 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.89/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.89/1.28 ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.89/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.28 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.28 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.89/1.28 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.28 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.89/1.28 Y, Z ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.89/1.28 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 0.89/1.28 Y, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.28 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.28 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.89/1.28 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.28 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.28 Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.28 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.28 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.28 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.28 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 0.89/1.28 Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 0.89/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ],
% 0.89/1.28 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.28 [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.89/1.28 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.28 , X ), X ), X ) ) ],
% 0.89/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.28 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.28 ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.28 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.89/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.28 Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.28 , X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.28 , X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.89/1.28 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.28 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.28 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.89/1.28 , ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.28 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.28 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.28 ) ), Z, X ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.28 Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.28 , X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.28 , X ), X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.28 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.28 ) ) ) ],
% 0.89/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.28 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.28 ],
% 0.89/1.28 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.28 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.28 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.28 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.28 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.28 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.28 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.28 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.28 ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.89/1.28 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.28 ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.89/1.28 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.28 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( Z ), X ), Y ) ) ],
% 0.89/1.28 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.28 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.28 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.89/1.28 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.28 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.89/1.28 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.28 ), Y ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.28 ), Y ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.28 ), Y ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.28 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.89/1.28 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.89/1.28 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.28 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.28 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.28 , X ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.28 , X ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.28 , X ) ) ],
% 0.89/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.28 , X ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.89/1.28 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.89/1.28 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.28 ), U ) ) ), ~( hBOOL( hAPP(
% 0.89/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 0.89/1.28 W, 'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 0.89/1.28 , Y ), U ) ), ~( hBOOL( hAPP(
% 0.89/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 0.89/1.28 W, 'tc_bool' ) ), U ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.28 ), U ) ) ), ~( hBOOL( hAPP(
% 0.89/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 0.89/1.28 W, 'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.89/1.28 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.28 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.28 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 0.89/1.28 X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.89/1.28 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, W, X,
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.89/1.28 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 0.89/1.28 X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.28 , 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'(
% 0.89/1.28 X, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.28 [ ~( =( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X, 'tc_bool' ),
% 0.89/1.28 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X, 'tc_bool' ),
% 0.89/1.28 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.28 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.89/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.28 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.89/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.28 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.89/1.28 ), X ), Y ) ), =( Y, T ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.28 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.89/1.28 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.28 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.89/1.28 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.28 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.28 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.89/1.28 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.89/1.28 , X ), Y ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.28 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.28 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.28 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.28 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.89/1.28 'tc_bool' ) ), X ) ],
% 0.89/1.28 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.89/1.28 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.28 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.89/1.28 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.28 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.28 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.28 , X ) ],
% 0.89/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.89/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.89/1.28 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.28 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.28 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z
% 0.89/1.28 ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.89/1.28 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.89/1.28 ,
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.28 ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 0.89/1.28 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.89/1.28 , X ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.28 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.89/1.28 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.28 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.28 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.28 ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.89/1.28 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.28 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.28 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.28 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.28 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.28 'tc_bool' ) ), Z ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), T ) ) ],
% 0.89/1.28 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.28 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.28 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.28 ],
% 0.89/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.28 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.28 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.28 ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.89/1.28 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.89/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.28 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.28 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.89/1.28 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 0.89/1.28 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.28 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~(
% 0.89/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.89/1.28 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.89/1.28 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.28 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.28 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.28 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.89/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.28 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.28 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.89/1.28 X, T ), Y ) ) ) ],
% 0.89/1.28 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.28 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.89/1.28 ) ) ],
% 0.89/1.28 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.28 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.28 'tc_bool' ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.28 X ) ) ],
% 0.89/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.28 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.28 ) ) ) ],
% 0.89/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.89/1.29 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.89/1.29 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.89/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.89/1.29 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ), Y ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.29 Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.29 , X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 0.89/1.29 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.89/1.29 Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.89/1.29 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ), Y ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.29 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), T ) ) ), ~( =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.89/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.89/1.29 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.89/1.29 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.29 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.29 , X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.29 , X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 T, X ), Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.29 Y, X ), Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 T, X ), Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.29 Y, X ), Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X ), X ), ~(
% 0.89/1.29 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.89/1.29 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.29 , X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.29 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.29 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.89/1.29 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 Z, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 T, Z, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.89/1.29 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 Z, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.29 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 T, Z, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.29 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.29 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.89/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.89/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 0.89/1.29 'c_Inductive_Ocomplete__lattice__class_Ogfp'( T, 'tc_fun'( X, 'tc_bool' )
% 0.89/1.29 ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, U, W, X ), hAPP( T,
% 0.89/1.29 'c_Set_Oimage'( Y, U, W, X ) ), 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( W ), Z ), U ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.29 X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.29 ), Y ), Z ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_COMBC'(
% 0.89/1.29 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ),
% 0.89/1.29 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.89/1.29 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 0.89/1.29 't_a' ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.29 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_COMBC'(
% 0.89/1.29 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ),
% 0.89/1.29 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.89/1.29 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 0.89/1.29 't_a' ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.29 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.89/1.29 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.89/1.29 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.89/1.29 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.89/1.29 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.29 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.89/1.29 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.89/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.89/1.29 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.89/1.29 'tc_bool' ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.89/1.29 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.29 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.89/1.29 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.29 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( Y,
% 0.89/1.29 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.29 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.29 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.29 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.29 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.29 ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.29 , X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.29 , X ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.29 , X ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.89/1.29 Z ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.89/1.29 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.89/1.29 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.29 ), =( Z, Y ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.29 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.29 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.29 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.89/1.29 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.89/1.29 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 0.89/1.29 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.89/1.29 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.29 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.89/1.29 Y, 'v_x' ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.89/1.29 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.89/1.29 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.89/1.29 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.89/1.29 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.89/1.29 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.29 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), X ) ],
% 0.89/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.29 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.89/1.29 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.29 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.29 ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.89/1.29 , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'(
% 0.89/1.29 X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, Z, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.89/1.29 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.89/1.29 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.89/1.29 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.29 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( X, Y ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.89/1.29 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.89/1.29 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.89/1.29 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.89/1.29 , V4 ), W ) ) ],
% 0.89/1.29 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.29 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.89/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.89/1.29 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 0.89/1.29 Y, X ) ) ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.29 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.89/1.29 X, T, U ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.89/1.29 hAPP( X, U ) ) ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 0.89/1.29 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.89/1.29 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( X, T ) ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.29 , X ), X ), X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.29 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.29 , X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.29 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.89/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.89/1.29 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.89/1.29 ],
% 0.89/1.29 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.89/1.29 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( T, X ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T, Z, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.89/1.29 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.29 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.89/1.29 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.29 Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.89/1.29 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.89/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.89/1.29 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.89/1.29 , 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( X,
% 0.89/1.29 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.89/1.29 , 'v_x' ) ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.89/1.29 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.89/1.29 X, 'v_x' ) ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 0.89/1.29 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.89/1.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ) ), T ) ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ),
% 0.89/1.29 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), 't_a' ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ),
% 0.89/1.29 'c_Hoare__Mirabelle_Otriple__valid'(
% 0.89/1.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), Z, 't_a' ),
% 0.89/1.29 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Z
% 0.89/1.29 ), X ) ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Otriple__valid'( X,
% 0.89/1.29 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ), 't_a' ) ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.29 , X ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ), hAPP(
% 0.89/1.29 Z, U ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), ~( 'c_lessequals'( Z, Y
% 0.89/1.29 , X ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( X ), Z ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.29 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.89/1.29 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.29 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1'( X, Y, Z ) ), Y )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1'( X, Y, Z ) ),
% 0.89/1.29 X ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X, 'tc_bool' )
% 0.89/1.29 , 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X, 'tc_bool' ),
% 0.89/1.29 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Y, Z,
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_COMBC'( 'c_in'( Z ), X, Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ),
% 0.89/1.29 'c_COMBC'( 'c_in'( Z ), Y, Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ),
% 0.89/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.89/1.29 X, Y, Z, 'tc_fun'( T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.29 hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( X,
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Y, U, 'tc_fun'(
% 0.89/1.29 T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( hAPP( X, Y ),
% 0.89/1.29 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.29 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( T ), Y ), Z ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, W
% 0.89/1.29 , U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1'( X, Y, Z ) ),
% 0.89/1.29 Y ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.29 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, 'tc_fun'( X, 'tc_bool' )
% 0.89/1.29 ) ) ), ~( 'c_lessequals'( T, hAPP( Z, T ), 'tc_fun'( X, 'tc_bool' ) ) )
% 0.89/1.29 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1'( X, Y, Z ) ), X )
% 0.89/1.29 ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.89/1.29 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.29 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.89/1.29 ~( 'c_lessequals'( hAPP( Y,
% 0.89/1.29 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 0.89/1.29 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 0.89/1.29 ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.89/1.29 ~( 'c_lessequals'( hAPP( Y,
% 0.89/1.29 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 0.89/1.29 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 0.89/1.29 ) ), X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 , ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.29 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.89/1.29 ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.29 ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.29 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.29 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 0.89/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.89/1.29 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.89/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), Z ) ) ),
% 0.89/1.29 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.89/1.29 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ) ), Z ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.29 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.89/1.29 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.29 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.89/1.29 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T,
% 0.89/1.29 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.29 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 0.89/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.89/1.29 ) ) ],
% 0.89/1.29 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.29 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.89/1.29 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.29 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.89/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.29 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.29 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.29 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.29 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.29 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.89/1.29 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.89/1.29 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.29 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_ts_H', 't_a' ) ],
% 0.89/1.29 [ 'c_lessequals'( 'v_tsa', 'v_ts_H', 'tc_fun'(
% 0.89/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ],
% 0.89/1.29 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.89/1.29 'v_xa' ), 'v_tsa' ) ) ],
% 0.89/1.29 [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa', 't_a' ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X ), 'v_Ga' ) ) )
% 0.89/1.29 ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), 'v_ts_H' ) )
% 0.89/1.29 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.89/1.29 'v_n'( X ) ), 'v_Ga' ) ) ],
% 0.89/1.29 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL( hAPP(
% 0.89/1.29 hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ), 'v_ts_H' ) )
% 0.89/1.29 ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_n'( X ), 't_a' ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.89/1.29 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.29 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.29 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.29 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.29 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.29 Y ) ) ],
% 0.89/1.29 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.89/1.29 ],
% 0.89/1.29 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.29 ,
% 0.89/1.29 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.89/1.29 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.89/1.29 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.29 [ 'c_fequal'( X, X, Y ) ],
% 0.89/1.29 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.89/1.29 ] .
% 0.89/1.29
% 0.89/1.29
% 0.89/1.29 percentage equality = 0.257218, percentage horn = 0.906130
% 0.89/1.29 This is a problem with some equality
% 0.89/1.29
% 0.89/1.29
% 0.89/1.29
% 0.89/1.29 Options Used:
% 0.89/1.29
% 0.89/1.29 useres = 1
% 0.89/1.29 useparamod = 1
% 0.89/1.29 useeqrefl = 1
% 0.89/1.29 useeqfact = 1
% 0.89/1.29 usefactor = 1
% 0.89/1.29 usesimpsplitting = 0
% 0.89/1.29 usesimpdemod = 5
% 0.89/1.29 usesimpres = 3
% 0.89/1.29
% 0.89/1.29 resimpinuse = 1000
% 0.89/1.29 resimpclauses = 20000
% 0.89/1.29 substype = eqrewr
% 0.89/1.29 backwardsubs = 1
% 0.89/1.29 selectoldest = 5
% 0.89/1.29
% 0.89/1.29 litorderings [0] = split
% 0.89/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.29
% 0.89/1.29 termordering = kbo
% 0.89/1.29
% 0.89/1.29 litapriori = 0
% 0.89/1.29 termapriori = 1
% 0.89/1.29 litaposteriori = 0
% 0.89/1.29 termaposteriori = 0
% 0.89/1.29 demodaposteriori = 0
% 0.89/1.29 ordereqreflfact = 0
% 0.89/1.29
% 0.89/1.29 litselect = negord
% 0.89/1.29
% 0.89/1.29 maxweight = 15
% 0.89/1.29 maxdepth = 30000
% 0.89/1.29 maxlength = 115
% 0.89/1.29 maxnrvars = 195
% 0.89/1.29 excuselevel = 1
% 0.89/1.29 increasemaxweight = 1
% 0.89/1.29
% 0.89/1.29 maxselected = 10000000
% 0.89/1.29 maxnrclauses = 10000000
% 0.89/1.29
% 0.89/1.29 showgenerated = 0
% 0.89/1.29 showkept = 0
% 0.89/1.29 showselected = 0
% 0.89/1.29 showdeleted = 0
% 0.89/1.29 showresimp = 1
% 0.89/1.29 showstatus = 2000
% 0.89/1.29
% 0.89/1.29 prologoutput = 1
% 0.89/1.29 nrgoals = 5000000
% 0.89/1.29 totalproof = 1
% 0.89/1.29
% 0.89/1.29 Symbols occurring in the translation:
% 0.89/1.29
% 0.89/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.29 . [1, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.89/1.29 ! [4, 1] (w:0, o:71, a:1, s:1, b:0),
% 0.89/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.96/3.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.96/3.34 'tc_bool' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 2.96/3.34 'tc_fun' [43, 2] (w:1, o:127, a:1, s:1, b:0),
% 2.96/3.34 'c_Lattices_Oupper__semilattice__class_Osup' [44, 3] (w:1, o:140, a:1
% 2.96/3.34 , s:1, b:0),
% 2.96/3.34 'c_HOL_Ominus__class_Ominus' [46, 3] (w:1, o:141, a:1, s:1, b:0),
% 2.96/3.34 'c_Fun_Oid' [47, 1] (w:1, o:76, a:1, s:1, b:0),
% 2.96/3.34 'c_Set_Ovimage' [48, 4] (w:1, o:155, a:1, s:1, b:0),
% 2.96/3.34 'class_HOL_Ominus' [50, 1] (w:1, o:77, a:1, s:1, b:0),
% 2.96/3.34 't_a' [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.96/3.34 'v_x' [52, 0] (w:1, o:17, a:1, s:1, b:0),
% 2.96/3.34 hAPP [53, 2] (w:1, o:128, a:1, s:1, b:0),
% 2.96/3.34 'c_Fun_Ocomp' [57, 5] (w:1, o:161, a:1, s:1, b:0),
% 2.96/3.34 'class_Lattices_Obounded__lattice' [60, 1] (w:1, o:78, a:1, s:1, b:0)
% 2.96/3.34 ,
% 2.96/3.34 'c_Orderings_Obot__class_Obot' [61, 1] (w:1, o:79, a:1, s:1, b:0),
% 2.96/3.34 'c_Set_Oinsert' [62, 3] (w:1, o:142, a:1, s:1, b:0),
% 2.96/3.34 'c_Lattices_Olower__semilattice__class_Oinf' [63, 3] (w:1, o:143, a:1
% 2.96/3.34 , s:1, b:0),
% 2.96/3.34 'c_in' [64, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.96/3.34 hBOOL [65, 1] (w:1, o:81, a:1, s:1, b:0),
% 2.96/3.34 'c_Set_Oimage' [68, 4] (w:1, o:156, a:1, s:1, b:0),
% 2.96/3.34 'c_HOL_Ouminus__class_Ouminus' [70, 2] (w:1, o:129, a:1, s:1, b:0),
% 2.96/3.34 'tc_Hoare__Mirabelle_Otriple' [73, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.96/3.34 'c_Hoare__Mirabelle_Ohoare__derivs' [74, 3] (w:1, o:144, a:1, s:1, b:
% 2.96/3.34 0),
% 2.96/3.34 'class_Orderings_Oorder' [77, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.96/3.34 'c_SetInterval_Oord__class_OatLeastAtMost' [78, 3] (w:1, o:145, a:1
% 2.96/3.34 , s:1, b:0),
% 2.96/3.34 'c_HOL_Oord__class_Oless' [79, 3] (w:1, o:146, a:1, s:1, b:0),
% 2.96/3.34 'c_lessequals' [80, 3] (w:1, o:147, a:1, s:1, b:0),
% 2.96/3.34 'class_Orderings_Olinorder' [81, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.96/3.34 'c_SetInterval_Oord__class_OlessThan' [83, 2] (w:1, o:130, a:1, s:1
% 2.96/3.34 , b:0),
% 2.96/3.34 'c_SetInterval_Oord__class_OatLeast' [84, 2] (w:1, o:131, a:1, s:1
% 2.96/3.34 , b:0),
% 2.96/3.34 'class_Lattices_Olattice' [85, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.96/3.34 'class_Lattices_Olower__semilattice' [87, 1] (w:1, o:86, a:1, s:1, b:
% 2.96/3.34 0),
% 2.96/3.34 'c_SetInterval_Oord__class_OatMost' [89, 2] (w:1, o:132, a:1, s:1, b:
% 2.96/3.34 0),
% 2.96/3.34 'class_Lattices_Oupper__semilattice' [90, 1] (w:1, o:87, a:1, s:1, b:
% 2.96/3.34 0),
% 2.96/3.34 'class_Lattices_Oboolean__algebra' [91, 1] (w:1, o:88, a:1, s:1, b:0)
% 2.96/3.34 ,
% 2.96/3.34 'class_OrderedGroup_Oab__group__add' [92, 1] (w:1, o:89, a:1, s:1, b:
% 2.96/3.34 0),
% 2.96/3.34 'c_COMBC' [97, 5] (w:1, o:162, a:1, s:1, b:0),
% 2.96/3.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [99, 4] (w:1
% 2.96/3.34 , o:157, a:1, s:1, b:0),
% 2.96/3.34 'c_SetInterval_Oord__class_OgreaterThan' [102, 2] (w:1, o:133, a:1
% 2.96/3.34 , s:1, b:0),
% 2.96/3.34 'class_HOL_Oord' [103, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.96/3.34 'class_OrderedGroup_Olordered__ab__group__add' [106, 1] (w:1, o:91
% 2.96/3.34 , a:1, s:1, b:0),
% 2.96/3.34 'c_SetInterval_Oord__class_OatLeastLessThan' [108, 3] (w:1, o:148, a:
% 2.96/3.34 1, s:1, b:0),
% 2.96/3.34 'class_Complete__Lattice_Ocomplete__lattice' [110, 1] (w:1, o:92, a:1
% 2.96/3.34 , s:1, b:0),
% 2.96/3.34 'c_Complete__Lattice_OInf__class_OInf' [111, 2] (w:1, o:134, a:1, s:1
% 2.96/3.34 , b:0),
% 2.96/3.34 'c_Complete__Lattice_OSup__class_OSup' [112, 2] (w:1, o:135, a:1, s:1
% 2.96/3.34 , b:0),
% 2.96/3.34 'class_OrderedGroup_Ogroup__add' [113, 1] (w:1, o:93, a:1, s:1, b:0)
% 2.96/3.34 ,
% 2.96/3.34 'class_OrderedGroup_Opordered__ab__group__add' [114, 1] (w:1, o:94
% 2.96/3.34 , a:1, s:1, b:0),
% 2.96/3.34 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [115, 4] (w:1
% 2.96/3.34 , o:158, a:1, s:1, b:0),
% 2.96/3.34 'class_Orderings_Opreorder' [117, 1] (w:1, o:95, a:1, s:1, b:0),
% 2.96/3.34 'class_Lattices_Odistrib__lattice' [118, 1] (w:1, o:96, a:1, s:1, b:0
% 2.96/3.34 ),
% 2.96/3.34 'class_Orderings_Obot' [120, 1] (w:1, o:97, a:1, s:1, b:0),
% 2.96/3.34 'c_Suc' [123, 1] (w:1, o:98, a:1, s:1, b:0),
% 2.96/3.34 'c_Inductive_Ocomplete__lattice__class_Ogfp' [127, 2] (w:1, o:136, a:
% 2.96/3.34 1, s:1, b:0),
% 2.96/3.34 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1' [129, 3] (w:1, o:
% 2.96/3.34 149, a:1, s:1, b:0),
% 2.96/3.34 'class_Ring__and__Field_Oordered__idom' [130, 1] (w:1, o:99, a:1, s:1
% 2.96/3.34 , b:0),
% 2.96/3.34 'c_Fun_Ofcomp' [131, 5] (w:1, o:163, a:1, s:1, b:0),
% 2.96/3.34 'class_HOL_Ouminus' [134, 1] (w:1, o:100, a:1, s:1, b:0),
% 16.29/16.71 'c_Hoare__Mirabelle_Otriple__valid' [140, 3] (w:1, o:150, a:1, s:1
% 16.29/16.71 , b:0),
% 16.29/16.71 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1' [142, 2] (w:1, o:
% 16.29/16.71 137, a:1, s:1, b:0),
% 16.29/16.71 'c_Hoare__Mirabelle_Ohoare__valids' [143, 3] (w:1, o:151, a:1, s:1
% 16.29/16.71 , b:0),
% 16.29/16.71 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1' [144, 2] (w:1, o:
% 16.29/16.71 138, a:1, s:1, b:0),
% 16.29/16.71 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2' [145, 2] (w:1, o:
% 16.29/16.71 139, a:1, s:1, b:0),
% 16.29/16.71 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1' [147, 3] (w:1, o:152, a:1
% 16.29/16.71 , s:1, b:0),
% 16.29/16.71 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1' [148, 3] (w:1, o:153
% 16.29/16.71 , a:1, s:1, b:0),
% 16.29/16.71 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1' [149, 4] (w:1, o:159
% 16.29/16.71 , a:1, s:1, b:0),
% 16.29/16.71 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1' [150, 4] (w:1
% 16.29/16.71 , o:160, a:1, s:1, b:0),
% 16.29/16.71 'v_Ga' [153, 0] (w:1, o:63, a:1, s:1, b:0),
% 16.29/16.71 'v_ts_H' [154, 0] (w:1, o:64, a:1, s:1, b:0),
% 16.29/16.71 'v_tsa' [155, 0] (w:1, o:65, a:1, s:1, b:0),
% 16.29/16.71 'v_xa' [156, 0] (w:1, o:66, a:1, s:1, b:0),
% 16.29/16.71 'v_n' [158, 1] (w:1, o:101, a:1, s:1, b:0),
% 16.29/16.71 'tc_nat' [162, 0] (w:1, o:70, a:1, s:1, b:0),
% 16.29/16.71 'c_fequal' [163, 3] (w:1, o:154, a:1, s:1, b:0).
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Starting Search:
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 5275
% 16.29/16.71 Kept: 2004
% 16.29/16.71 Inuse: 140
% 16.29/16.71 Deleted: 2
% 16.29/16.71 Deletedinuse: 0
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 11771
% 16.29/16.71 Kept: 4019
% 16.29/16.71 Inuse: 242
% 16.29/16.71 Deleted: 4
% 16.29/16.71 Deletedinuse: 0
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 21061
% 16.29/16.71 Kept: 6045
% 16.29/16.71 Inuse: 400
% 16.29/16.71 Deleted: 12
% 16.29/16.71 Deletedinuse: 1
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 30113
% 16.29/16.71 Kept: 8293
% 16.29/16.71 Inuse: 487
% 16.29/16.71 Deleted: 13
% 16.29/16.71 Deletedinuse: 2
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 37494
% 16.29/16.71 Kept: 10360
% 16.29/16.71 Inuse: 525
% 16.29/16.71 Deleted: 13
% 16.29/16.71 Deletedinuse: 2
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 51059
% 16.29/16.71 Kept: 12724
% 16.29/16.71 Inuse: 575
% 16.29/16.71 Deleted: 13
% 16.29/16.71 Deletedinuse: 2
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 59571
% 16.29/16.71 Kept: 14737
% 16.29/16.71 Inuse: 643
% 16.29/16.71 Deleted: 13
% 16.29/16.71 Deletedinuse: 2
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 67880
% 16.29/16.71 Kept: 16778
% 16.29/16.71 Inuse: 677
% 16.29/16.71 Deleted: 16
% 16.29/16.71 Deletedinuse: 2
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 76601
% 16.29/16.71 Kept: 18851
% 16.29/16.71 Inuse: 741
% 16.29/16.71 Deleted: 19
% 16.29/16.71 Deletedinuse: 4
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying clauses:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 89265
% 16.29/16.71 Kept: 21440
% 16.29/16.71 Inuse: 805
% 16.29/16.71 Deleted: 440
% 16.29/16.71 Deletedinuse: 4
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 101470
% 16.29/16.71 Kept: 25395
% 16.29/16.71 Inuse: 817
% 16.29/16.71 Deleted: 442
% 16.29/16.71 Deletedinuse: 6
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 112552
% 16.29/16.71 Kept: 27443
% 16.29/16.71 Inuse: 867
% 16.29/16.71 Deleted: 446
% 16.29/16.71 Deletedinuse: 7
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 121752
% 16.29/16.71 Kept: 29478
% 16.29/16.71 Inuse: 921
% 16.29/16.71 Deleted: 447
% 16.29/16.71 Deletedinuse: 7
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 132893
% 16.29/16.71 Kept: 31519
% 16.29/16.71 Inuse: 980
% 16.29/16.71 Deleted: 450
% 16.29/16.71 Deletedinuse: 9
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 145144
% 16.29/16.71 Kept: 34398
% 16.29/16.71 Inuse: 1010
% 16.29/16.71 Deleted: 450
% 16.29/16.71 Deletedinuse: 9
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 156676
% 16.29/16.71 Kept: 38004
% 16.29/16.71 Inuse: 1018
% 16.29/16.71 Deleted: 450
% 16.29/16.71 Deletedinuse: 9
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71 Resimplifying inuse:
% 16.29/16.71 Done
% 16.29/16.71
% 16.29/16.71
% 16.29/16.71 Intermediate Status:
% 16.29/16.71 Generated: 170899
% 16.29/16.71 Kept: 40008
% 16.29/16.71 Inuse: 1083
% 16.29/16.71 Deleted: 452
% 16.29/16.71 Deletedinuse: 10
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying clauses:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 178300
% 33.16/33.51 Kept: 42541
% 33.16/33.51 Inuse: 1107
% 33.16/33.51 Deleted: 884
% 33.16/33.51 Deletedinuse: 10
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 192172
% 33.16/33.51 Kept: 44581
% 33.16/33.51 Inuse: 1159
% 33.16/33.51 Deleted: 889
% 33.16/33.51 Deletedinuse: 15
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 202487
% 33.16/33.51 Kept: 46678
% 33.16/33.51 Inuse: 1189
% 33.16/33.51 Deleted: 889
% 33.16/33.51 Deletedinuse: 15
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 207553
% 33.16/33.51 Kept: 48688
% 33.16/33.51 Inuse: 1191
% 33.16/33.51 Deleted: 889
% 33.16/33.51 Deletedinuse: 15
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 222708
% 33.16/33.51 Kept: 51327
% 33.16/33.51 Inuse: 1214
% 33.16/33.51 Deleted: 889
% 33.16/33.51 Deletedinuse: 15
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 231792
% 33.16/33.51 Kept: 53797
% 33.16/33.51 Inuse: 1228
% 33.16/33.51 Deleted: 889
% 33.16/33.51 Deletedinuse: 15
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 243031
% 33.16/33.51 Kept: 55824
% 33.16/33.51 Inuse: 1262
% 33.16/33.51 Deleted: 890
% 33.16/33.51 Deletedinuse: 15
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 252861
% 33.16/33.51 Kept: 57875
% 33.16/33.51 Inuse: 1283
% 33.16/33.51 Deleted: 890
% 33.16/33.51 Deletedinuse: 15
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 275313
% 33.16/33.51 Kept: 60134
% 33.16/33.51 Inuse: 1301
% 33.16/33.51 Deleted: 900
% 33.16/33.51 Deletedinuse: 18
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying clauses:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 297904
% 33.16/33.51 Kept: 62920
% 33.16/33.51 Inuse: 1311
% 33.16/33.51 Deleted: 1439
% 33.16/33.51 Deletedinuse: 18
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 324275
% 33.16/33.51 Kept: 65781
% 33.16/33.51 Inuse: 1336
% 33.16/33.51 Deleted: 1439
% 33.16/33.51 Deletedinuse: 18
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 362607
% 33.16/33.51 Kept: 70361
% 33.16/33.51 Inuse: 1356
% 33.16/33.51 Deleted: 1439
% 33.16/33.51 Deletedinuse: 18
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 398342
% 33.16/33.51 Kept: 74354
% 33.16/33.51 Inuse: 1361
% 33.16/33.51 Deleted: 1440
% 33.16/33.51 Deletedinuse: 19
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 415281
% 33.16/33.51 Kept: 76674
% 33.16/33.51 Inuse: 1375
% 33.16/33.51 Deleted: 1441
% 33.16/33.51 Deletedinuse: 19
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 426173
% 33.16/33.51 Kept: 78708
% 33.16/33.51 Inuse: 1398
% 33.16/33.51 Deleted: 1441
% 33.16/33.51 Deletedinuse: 19
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 436647
% 33.16/33.51 Kept: 81051
% 33.16/33.51 Inuse: 1410
% 33.16/33.51 Deleted: 1441
% 33.16/33.51 Deletedinuse: 19
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying clauses:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 448656
% 33.16/33.51 Kept: 83228
% 33.16/33.51 Inuse: 1440
% 33.16/33.51 Deleted: 1520
% 33.16/33.51 Deletedinuse: 20
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 459823
% 33.16/33.51 Kept: 85320
% 33.16/33.51 Inuse: 1470
% 33.16/33.51 Deleted: 1520
% 33.16/33.51 Deletedinuse: 20
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 475330
% 33.16/33.51 Kept: 87451
% 33.16/33.51 Inuse: 1480
% 33.16/33.51 Deleted: 1521
% 33.16/33.51 Deletedinuse: 21
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 487411
% 33.16/33.51 Kept: 89669
% 33.16/33.51 Inuse: 1495
% 33.16/33.51 Deleted: 1528
% 33.16/33.51 Deletedinuse: 28
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 503875
% 33.16/33.51 Kept: 92045
% 33.16/33.51 Inuse: 1500
% 33.16/33.51 Deleted: 1528
% 33.16/33.51 Deletedinuse: 28
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 517206
% 33.16/33.51 Kept: 94487
% 33.16/33.51 Inuse: 1535
% 33.16/33.51 Deleted: 1528
% 33.16/33.51 Deletedinuse: 28
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 528117
% 33.16/33.51 Kept: 96539
% 33.16/33.51 Inuse: 1565
% 33.16/33.51 Deleted: 1529
% 33.16/33.51 Deletedinuse: 29
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 539751
% 33.16/33.51 Kept: 98553
% 33.16/33.51 Inuse: 1592
% 33.16/33.51 Deleted: 1529
% 33.16/33.51 Deletedinuse: 29
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 553711
% 33.16/33.51 Kept: 100554
% 33.16/33.51 Inuse: 1623
% 33.16/33.51 Deleted: 1529
% 33.16/33.51 Deletedinuse: 29
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying clauses:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 567169
% 33.16/33.51 Kept: 102732
% 33.16/33.51 Inuse: 1650
% 33.16/33.51 Deleted: 2364
% 33.16/33.51 Deletedinuse: 29
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 579241
% 33.16/33.51 Kept: 104863
% 33.16/33.51 Inuse: 1675
% 33.16/33.51 Deleted: 2365
% 33.16/33.51 Deletedinuse: 30
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 588461
% 33.16/33.51 Kept: 106975
% 33.16/33.51 Inuse: 1695
% 33.16/33.51 Deleted: 2398
% 33.16/33.51 Deletedinuse: 63
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 596910
% 33.16/33.51 Kept: 109120
% 33.16/33.51 Inuse: 1715
% 33.16/33.51 Deleted: 2402
% 33.16/33.51 Deletedinuse: 67
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 605211
% 33.16/33.51 Kept: 111270
% 33.16/33.51 Inuse: 1735
% 33.16/33.51 Deleted: 2402
% 33.16/33.51 Deletedinuse: 67
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 612367
% 33.16/33.51 Kept: 113371
% 33.16/33.51 Inuse: 1755
% 33.16/33.51 Deleted: 2402
% 33.16/33.51 Deletedinuse: 67
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 621517
% 33.16/33.51 Kept: 115425
% 33.16/33.51 Inuse: 1776
% 33.16/33.51 Deleted: 2402
% 33.16/33.51 Deletedinuse: 67
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 630767
% 33.16/33.51 Kept: 117873
% 33.16/33.51 Inuse: 1795
% 33.16/33.51 Deleted: 2402
% 33.16/33.51 Deletedinuse: 67
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 640347
% 33.16/33.51 Kept: 120229
% 33.16/33.51 Inuse: 1815
% 33.16/33.51 Deleted: 2402
% 33.16/33.51 Deletedinuse: 67
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying clauses:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 650952
% 33.16/33.51 Kept: 122240
% 33.16/33.51 Inuse: 1836
% 33.16/33.51 Deleted: 5048
% 33.16/33.51 Deletedinuse: 68
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.51
% 33.16/33.51
% 33.16/33.51 Intermediate Status:
% 33.16/33.51 Generated: 660914
% 33.16/33.51 Kept: 124277
% 33.16/33.51 Inuse: 1855
% 33.16/33.51 Deleted: 5048
% 33.16/33.51 Deletedinuse: 68
% 33.16/33.51
% 33.16/33.51 Resimplifying inuse:
% 33.16/33.51 Done
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 Intermediate Status:
% 33.16/33.52 Generated: 670920
% 33.16/33.52 Kept: 126552
% 33.16/33.52 Inuse: 1876
% 33.16/33.52 Deleted: 5052
% 33.16/33.52 Deletedinuse: 68
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 Intermediate Status:
% 33.16/33.52 Generated: 680521
% 33.16/33.52 Kept: 128735
% 33.16/33.52 Inuse: 1894
% 33.16/33.52 Deleted: 5054
% 33.16/33.52 Deletedinuse: 68
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 Intermediate Status:
% 33.16/33.52 Generated: 689936
% 33.16/33.52 Kept: 131028
% 33.16/33.52 Inuse: 1924
% 33.16/33.52 Deleted: 5054
% 33.16/33.52 Deletedinuse: 68
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 Intermediate Status:
% 33.16/33.52 Generated: 713689
% 33.16/33.52 Kept: 133470
% 33.16/33.52 Inuse: 1944
% 33.16/33.52 Deleted: 5054
% 33.16/33.52 Deletedinuse: 68
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 Intermediate Status:
% 33.16/33.52 Generated: 734497
% 33.16/33.52 Kept: 135660
% 33.16/33.52 Inuse: 1954
% 33.16/33.52 Deleted: 5054
% 33.16/33.52 Deletedinuse: 68
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 Intermediate Status:
% 33.16/33.52 Generated: 741469
% 33.16/33.52 Kept: 138036
% 33.16/33.52 Inuse: 1974
% 33.16/33.52 Deleted: 5077
% 33.16/33.52 Deletedinuse: 91
% 33.16/33.52
% 33.16/33.52 Resimplifying inuse:
% 33.16/33.52 Done
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 Bliksems!, er is een bewijs:
% 33.16/33.52 % SZS status Unsatisfiable
% 33.16/33.52 % SZS output start Refutation
% 33.16/33.52
% 33.16/33.52 clause( 79, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), Y ) ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 121, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( Z ), X ), Y ) ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 185, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 249, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 33.16/33.52 'c_lessequals'( Z, Y, X ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 308, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.16/33.52 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 326, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 448, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 33.16/33.52 Z, Y ) ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 453, [ 'c_lessequals'( 'v_tsa', 'v_ts_H', 'tc_fun'(
% 33.16/33.52 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 454, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 33.16/33.52 't_a' ) ), 'v_xa' ), 'v_tsa' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 455, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa', 't_a'
% 33.16/33.52 ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 456, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X )
% 33.16/33.52 , 'v_Ga' ) ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 457, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ),
% 33.16/33.52 'v_ts_H' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 33.16/33.52 't_a' ) ), 'v_n'( X ) ), 'v_Ga' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 458, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ),
% 33.16/33.52 'v_ts_H' ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_n'( X ),
% 33.16/33.52 't_a' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 461, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ),
% 33.16/33.52 ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 489, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 510, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X
% 33.16/33.52 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 33.16/33.52 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Y, Z ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 511, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 588, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa', X ) )
% 33.16/33.52 , ~( =( X, 't_a' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 1546, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 7392, [ ~( =( 'c_Suc'( X ), 'c_Suc'( 't_a' ) ) ), ~(
% 33.16/33.52 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa', X ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 14739, [ =( 'c_Set_Oinsert'( 'v_xa', 'v_tsa',
% 33.16/33.52 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_tsa' ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 14950, [ hBOOL( hAPP( 'v_tsa', 'v_xa' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 14966, [ hBOOL( hAPP( X, 'v_xa' ) ), ~( =( 'c_Suc'( 'v_tsa' ),
% 33.16/33.52 'c_Suc'( X ) ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 43485, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_ts_H'
% 33.16/33.52 , 'v_tsa', 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' )
% 33.16/33.52 ), 'v_tsa' ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 109302, [ hBOOL( hAPP( 'v_ts_H', X ) ), ~( hBOOL( hAPP( 'v_tsa', X
% 33.16/33.52 ) ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 109651, [ hBOOL( hAPP( 'v_ts_H', 'v_xa' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 135304, [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'v_xa' ), 'v_ts_H' ) ) ]
% 33.16/33.52 )
% 33.16/33.52 .
% 33.16/33.52 clause( 138366, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 33.16/33.52 't_a' ) ), 'v_n'( 'v_x' ) ), 'v_Ga' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 139184, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_n'(
% 33.16/33.52 'v_x' ), 't_a' ) ) ] )
% 33.16/33.52 .
% 33.16/33.52 clause( 139555, [] )
% 33.16/33.52 .
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 % SZS output end Refutation
% 33.16/33.52 found a proof!
% 33.16/33.52
% 33.16/33.52 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 33.16/33.52
% 33.16/33.52 initialclauses(
% 33.16/33.52 [ clause( 139557, [ =( 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139558, [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139559, [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139560, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139561, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139562, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'(
% 33.16/33.52 'c_Fun_Oid'( T ), W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W
% 33.16/33.52 , V0 ) ) ] )
% 33.16/33.52 , clause( 139563, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 33.16/33.52 , clause( 139564, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 33.16/33.52 , clause( 139565, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139566, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139567, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ] )
% 33.16/33.52 , clause( 139568, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 33.16/33.52 , clause( 139569, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z
% 33.16/33.52 , T, U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( T ), Y ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139570, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~(
% 33.16/33.52 hBOOL( hAPP( Y, T ) ) ) ] )
% 33.16/33.52 , clause( 139571, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 Y, 'tc_fun'( Z, 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Set_Ovimage'( X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139572, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 33.16/33.52 Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 33.16/33.52 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ),
% 33.16/33.52 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 33.16/33.52 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 33.16/33.52 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 33.16/33.52 , clause( 139573, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( Z ), X ), Y ) ) ] )
% 33.16/33.52 , clause( 139574, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139575, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 33.16/33.52 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 33.16/33.52 , clause( 139576, [ ~( =( 'c_Set_Oinsert'( X,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 33.16/33.52 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ), Y ) ) ), =( X, Z ) ] )
% 33.16/33.52 , clause( 139577, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 33.16/33.52 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( T ), Y ), Z ) ) ] )
% 33.16/33.52 , clause( 139578, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 33.16/33.52 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 33.16/33.52 Y, Z ) ) ] )
% 33.16/33.52 , clause( 139579, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 33.16/33.52 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 33.16/33.52 Y, X ) ) ] )
% 33.16/33.52 , clause( 139580, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 33.16/33.52 , clause( 139581, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ] )
% 33.16/33.52 , clause( 139582, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 33.16/33.52 ) ) ] )
% 33.16/33.52 , clause( 139583, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139584, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139585, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139586, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), X ) ) ] )
% 33.16/33.52 , clause( 139587, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139588, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139589, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139590, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139591, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139592, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139593, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139594, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 33.16/33.52 , clause( 139595, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139596, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139597, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 33.16/33.52 , T, X ) ) ), =( Z, T ) ] )
% 33.16/33.52 , clause( 139598, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 33.16/33.52 , T, X ) ) ), =( Y, Z ) ] )
% 33.16/33.52 , clause( 139599, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.16/33.52 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 33.16/33.52 , clause( 139600, [ =( 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139601, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X
% 33.16/33.52 , W ), Y ) ) ] )
% 33.16/33.52 , clause( 139602, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139603, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T )
% 33.16/33.52 , 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 33.16/33.52 , clause( 139604, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 33.16/33.52 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'(
% 33.16/33.52 Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139605, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 Y, Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 33.16/33.52 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ] )
% 33.16/33.52 , clause( 139606, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 33.16/33.52 X ), Y ), 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139607, [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W,
% 33.16/33.52 U, T ), 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ] )
% 33.16/33.52 , clause( 139608, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 33.16/33.52 ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 33.16/33.52 , X ), X ), X ) ) ] )
% 33.16/33.52 , clause( 139609, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 33.16/33.52 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139610, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139611, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139612, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139613, [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139614, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139615, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 33.16/33.52 , X ), X ) ) ] )
% 33.16/33.52 , clause( 139616, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 33.16/33.52 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 33.16/33.52 , X ), X ) ) ] )
% 33.16/33.52 , clause( 139617, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139618, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 33.16/33.52 , clause( 139619, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139620, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, U, X
% 33.16/33.52 ), ~( 'c_lessequals'( U, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139621, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139622, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139623, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139624, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ] )
% 33.16/33.52 , clause( 139625, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139626, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 33.16/33.52 , X ), X ) ) ] )
% 33.16/33.52 , clause( 139627, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 33.16/33.52 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 33.16/33.52 , X ), X ) ) ] )
% 33.16/33.52 , clause( 139628, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ) ) ] )
% 33.16/33.52 , clause( 139629, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , =( 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139630, [ =( 'c_Set_Ovimage'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 33.16/33.52 , 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139631, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), X ), X ), X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139632, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 33.16/33.52 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139633, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139634, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), X ) ) ] )
% 33.16/33.52 , clause( 139635, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 33.16/33.52 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ] )
% 33.16/33.52 , clause( 139636, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 33.16/33.52 ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139637, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139638, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139639, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 33.16/33.52 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139640, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139641, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 33.16/33.52 , Z ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( Z ), X ), Y ) ) ] )
% 33.16/33.52 , clause( 139642, [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ] )
% 33.16/33.52 , clause( 139643, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139644, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139645, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139646, [ 'c_lessequals'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ), Z,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139647, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Y, 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139648, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 33.16/33.52 ), Y ) ] )
% 33.16/33.52 , clause( 139649, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 33.16/33.52 ), Y ) ] )
% 33.16/33.52 , clause( 139650, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 33.16/33.52 ) ) ] )
% 33.16/33.52 , clause( 139651, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 33.16/33.52 ) ) ] )
% 33.16/33.52 , clause( 139652, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 33.16/33.52 ), Y ) ] )
% 33.16/33.52 , clause( 139653, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139654, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 33.16/33.52 , clause( 139655, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 33.16/33.52 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139656, [ =( 'c_Set_Ovimage'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 33.16/33.52 , 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139657, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , =( 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), X ), X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139658, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 33.16/33.52 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 33.16/33.52 , X ), X ) ) ] )
% 33.16/33.52 , clause( 139659, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 33.16/33.52 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 33.16/33.52 , X ), X ) ) ] )
% 33.16/33.52 , clause( 139660, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 33.16/33.52 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 33.16/33.52 ), Y, X ) ) ] )
% 33.16/33.52 , clause( 139661, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 33.16/33.52 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 33.16/33.52 ), Y, X ) ) ] )
% 33.16/33.52 , clause( 139662, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139663, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139664, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z
% 33.16/33.52 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 33.16/33.52 , clause( 139665, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z
% 33.16/33.52 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 33.16/33.52 , clause( 139666, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( T ), Y ), U ) ) ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 33.16/33.52 W, 'tc_bool' ) ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139667, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( T, Y ), U ) ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 33.16/33.52 W, 'tc_bool' ) ), U ) ) ) ] )
% 33.16/33.52 , clause( 139668, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( T ), Y ), U ) ) ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 33.16/33.52 W, 'tc_bool' ) ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139669, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139670, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 33.16/33.52 , clause( 139671, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139672, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z
% 33.16/33.52 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139673, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139674, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139675, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139676, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP(
% 33.16/33.52 hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139677, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( X ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 33.16/33.52 W, Z, U, 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139678, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( T ), U ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 33.16/33.52 Z, W, X, 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139679, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( X ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 33.16/33.52 W, Z, U, 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139680, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z,
% 33.16/33.52 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139681, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T,
% 33.16/33.52 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139682, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ] )
% 33.16/33.52 , clause( 139683, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 33.16/33.52 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139684, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 33.16/33.52 , 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139685, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 33.16/33.52 , Z, X ) ) ) ] )
% 33.16/33.52 , clause( 139686, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 33.16/33.52 , Z, X ) ) ) ] )
% 33.16/33.52 , clause( 139687, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 33.16/33.52 , Z, X ) ) ) ] )
% 33.16/33.52 , clause( 139688, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139689, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139690, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ) ) ) ) ] )
% 33.16/33.52 , clause( 139691, [ ~( =( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ), 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ), 'tc_bool' ) ) ), =( Y, Z ) ] )
% 33.16/33.52 , clause( 139692, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 33.16/33.52 ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139693, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 33.16/33.52 ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139694, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T
% 33.16/33.52 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( Z ), X ), Y ) ), =( Y, T ) ] )
% 33.16/33.52 , clause( 139695, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 33.16/33.52 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139696, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 33.16/33.52 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139697, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 33.16/33.52 , T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139698, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 33.16/33.52 , T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139699, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 33.16/33.52 , T, X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139700, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139701, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139702, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP(
% 33.16/33.52 hAPP( 'c_in'( Z ), X ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139703, [ hBOOL( hAPP(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ] )
% 33.16/33.52 , clause( 139704, [ hBOOL( hAPP(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ] )
% 33.16/33.52 , clause( 139705, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 33.16/33.52 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 33.16/33.52 , clause( 139706, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 33.16/33.52 ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139707, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 33.16/33.52 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 33.16/33.52 , clause( 139708, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 33.16/33.52 , clause( 139709, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139710, [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139711, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139712, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139713, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139714, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139715, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139716, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 33.16/33.52 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 33.16/33.52 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 33.16/33.52 , clause( 139717, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z
% 33.16/33.52 , 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139718, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ),
% 33.16/33.52 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), Z ) ) ) ) ] )
% 33.16/33.52 , clause( 139719, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 33.16/33.52 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 33.16/33.52 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 33.16/33.52 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139720, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X,
% 33.16/33.52 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'(
% 33.16/33.52 X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139721, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 33.16/33.52 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139722, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 33.16/33.52 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139723, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y
% 33.16/33.52 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T
% 33.16/33.52 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T
% 33.16/33.52 ) ) ) ] )
% 33.16/33.52 , clause( 139724, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139725, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 33.16/33.52 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 33.16/33.52 , X ) ) ] )
% 33.16/33.52 , clause( 139726, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139727, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 33.16/33.52 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139728, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 33.16/33.52 ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X
% 33.16/33.52 ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 33.16/33.52 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 33.16/33.52 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ] )
% 33.16/33.52 , clause( 139729, [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 33.16/33.52 , clause( 139730, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 33.16/33.52 , clause( 139731, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 33.16/33.52 , clause( 139732, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 33.16/33.52 ) ) ) ] )
% 33.16/33.52 , clause( 139733, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139734, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139735, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , =( 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ),
% 33.16/33.52 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ] )
% 33.16/33.52 , clause( 139736, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 33.16/33.52 , clause( 139737, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 33.16/33.52 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), T ) ) ] )
% 33.16/33.52 , clause( 139738, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 33.16/33.52 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 33.16/33.52 , 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139739, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 33.16/33.52 ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X
% 33.16/33.52 ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 33.16/33.52 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 33.16/33.52 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139740, [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X,
% 33.16/33.52 Y, Z, T ), Z, T ), Y, 'tc_fun'( T, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139741, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ),
% 33.16/33.52 X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ] )
% 33.16/33.52 , clause( 139742, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 Y, Z, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ] )
% 33.16/33.52 , clause( 139743, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 33.16/33.52 X ), Y ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139744, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139745, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 33.16/33.52 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139746, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y
% 33.16/33.52 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139747, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 33.16/33.52 , clause( 139748, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z
% 33.16/33.52 , 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), T ), X, T ) ) ) ] )
% 33.16/33.52 , clause( 139749, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), Z ) ) ] )
% 33.16/33.52 , clause( 139750, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 33.16/33.52 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ] )
% 33.16/33.52 , clause( 139751, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z )
% 33.16/33.52 , 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 33.16/33.52 , clause( 139752, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139753, [ ~( =(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool'
% 33.16/33.52 ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ] )
% 33.16/33.52 , clause( 139754, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139755, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 X ) ) ] )
% 33.16/33.52 , clause( 139756, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 33.16/33.52 , clause( 139757, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 33.16/33.52 ) ) ) ] )
% 33.16/33.52 , clause( 139758, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139759, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 33.16/33.52 X, Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T,
% 33.16/33.52 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 33.16/33.52 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139760, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ] )
% 33.16/33.52 , clause( 139761, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139762, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , =( 'c_Complete__Lattice_OSup__class_OSup'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 33.16/33.52 , clause( 139763, [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139764, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139765, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139766, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139767, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139768, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X,
% 33.16/33.52 hAPP( Y, W ) ) ) ] )
% 33.16/33.52 , clause( 139769, [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y,
% 33.16/33.52 T, U, W ), Z ) ) ] )
% 33.16/33.52 , clause( 139770, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 33.16/33.52 , clause( 139771, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 33.16/33.52 , clause( 139772, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139773, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 33.16/33.52 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139774, [ hBOOL( hAPP(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 33.16/33.52 , clause( 139775, [ hBOOL( hAPP(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 33.16/33.52 , clause( 139776, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139777, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139778, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139779, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139780, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139781, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139782, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 33.16/33.52 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139783, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y,
% 33.16/33.52 Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139784, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 33.16/33.52 , clause( 139785, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 33.16/33.52 , clause( 139786, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ), Y ) ] )
% 33.16/33.52 , clause( 139787, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139788, [ =( 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 33.16/33.52 ) ) ) ] )
% 33.16/33.52 , clause( 139789, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ] )
% 33.16/33.52 , clause( 139790, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139791, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139792, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 33.16/33.52 , X ), X ) ) ] )
% 33.16/33.52 , clause( 139793, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 33.16/33.52 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 33.16/33.52 Y, X ) ) ] )
% 33.16/33.52 , clause( 139794, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 33.16/33.52 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139795, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139796, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139797, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139798, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139799, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 33.16/33.52 ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 33.16/33.52 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139800, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 ) ) ] )
% 33.16/33.52 , clause( 139801, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 33.16/33.52 , clause( 139802, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 33.16/33.52 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ] )
% 33.16/33.52 , clause( 139803, [ =( 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139804, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139805, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139806, [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139807, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 33.16/33.52 'c_Set_Oimage'( Y, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z )
% 33.16/33.52 , T ) ) ) ] )
% 33.16/33.52 , clause( 139808, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 33.16/33.52 'c_Set_Oimage'( Y, T, U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z )
% 33.16/33.52 , T ) ) ) ] )
% 33.16/33.52 , clause( 139809, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139810, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 33.16/33.52 , clause( 139811, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 33.16/33.52 Y, Z ) ] )
% 33.16/33.52 , clause( 139812, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 33.16/33.52 , X ) ) ] )
% 33.16/33.52 , clause( 139813, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 33.16/33.52 , X ) ) ] )
% 33.16/33.52 , clause( 139814, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139815, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 33.16/33.52 Z, Y ) ] )
% 33.16/33.52 , clause( 139816, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 33.16/33.52 , X ) ) ] )
% 33.16/33.52 , clause( 139817, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 33.16/33.52 ~( 'c_lessequals'( U, T, X ) ) ] )
% 33.16/33.52 , clause( 139818, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 33.16/33.52 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139819, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 33.16/33.52 , clause( 139820, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 33.16/33.52 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 33.16/33.52 , clause( 139821, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 33.16/33.52 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 33.16/33.52 , clause( 139822, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 33.16/33.52 , clause( 139823, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 33.16/33.52 , clause( 139824, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 33.16/33.52 , clause( 139825, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 33.16/33.52 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139826, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 33.16/33.52 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 33.16/33.52 , clause( 139827, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 33.16/33.52 , clause( 139828, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 33.16/33.52 , clause( 139829, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , 'c_lessequals'( Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X )
% 33.16/33.52 , X ), ~( 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ] )
% 33.16/33.52 , clause( 139830, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 33.16/33.52 Y, X ) ] )
% 33.16/33.52 , clause( 139831, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 33.16/33.52 Z, X ) ] )
% 33.16/33.52 , clause( 139832, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 33.16/33.52 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139833, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 33.16/33.52 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139834, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 33.16/33.52 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139835, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 33.16/33.52 , clause( 139836, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 33.16/33.52 , clause( 139837, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139838, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ] )
% 33.16/33.52 , clause( 139839, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 33.16/33.52 'c_lessequals'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139840, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139841, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139842, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139843, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 33.16/33.52 , clause( 139844, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139845, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 33.16/33.52 , X ), X ) ) ] )
% 33.16/33.52 , clause( 139846, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 33.16/33.52 , clause( 139847, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139848, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 33.16/33.52 , clause( 139849, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139850, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 33.16/33.52 , clause( 139851, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139852, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 33.16/33.52 , clause( 139853, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139854, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139855, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ] )
% 33.16/33.52 , clause( 139856, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 33.16/33.52 'c_lessequals'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139857, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139858, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 33.16/33.52 ), X ) ] )
% 33.16/33.52 , clause( 139859, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 33.16/33.52 ), X ) ] )
% 33.16/33.52 , clause( 139860, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139861, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139862, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 33.16/33.52 , 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 33.16/33.52 , clause( 139863, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 33.16/33.52 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 33.16/33.52 , clause( 139864, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139865, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 33.16/33.52 , clause( 139866, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 33.16/33.52 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 33.16/33.52 , clause( 139867, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 33.16/33.52 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 33.16/33.52 , clause( 139868, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139869, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 33.16/33.52 , clause( 139870, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 33.16/33.52 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 33.16/33.52 , clause( 139871, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 33.16/33.52 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 33.16/33.52 , clause( 139872, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 33.16/33.52 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 33.16/33.52 , clause( 139873, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 33.16/33.52 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 33.16/33.52 , clause( 139874, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ),
% 33.16/33.52 'c_Inductive_Ocomplete__lattice__class_Ogfp'( T, 'tc_fun'( X, 'tc_bool' )
% 33.16/33.52 ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, U, W, X ), hAPP( T,
% 33.16/33.52 'c_Set_Oimage'( Y, U, W, X ) ), 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( W ), Z ), U ) ) ) ] )
% 33.16/33.52 , clause( 139875, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 33.16/33.52 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139876, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T
% 33.16/33.52 ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP(
% 33.16/33.52 hAPP( 'c_in'( T ), Y ), Z ) ) ] )
% 33.16/33.52 , clause( 139877, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 33.16/33.52 , Y ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ),
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139878, [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_COMBC'( 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 33.16/33.52 'tc_bool' ), 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a',
% 33.16/33.52 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP(
% 33.16/33.52 hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 't_a',
% 33.16/33.52 'tc_bool' ) ) ) ) ] )
% 33.16/33.52 , clause( 139879, [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_COMBC'( 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 33.16/33.52 'tc_bool' ), 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a',
% 33.16/33.52 'tc_bool' ), 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP(
% 33.16/33.52 hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 't_a',
% 33.16/33.52 'tc_bool' ) ) ) ) ] )
% 33.16/33.52 , clause( 139880, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 33.16/33.52 'tc_fun'( T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X )
% 33.16/33.52 ) ) ] )
% 33.16/33.52 , clause( 139881, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 Y, Z, 'tc_fun'( T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ) ) ] )
% 33.16/33.52 , clause( 139882, [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z,
% 33.16/33.52 'tc_fun'( T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X
% 33.16/33.52 ) ) ) ] )
% 33.16/33.52 , clause( 139883, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z
% 33.16/33.52 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139884, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ), =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139885, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ),
% 33.16/33.52 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 33.16/33.52 Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139886, [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 33.16/33.52 'c_lessequals'( 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U
% 33.16/33.52 ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139887, [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ),
% 33.16/33.52 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139888, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' )
% 33.16/33.52 ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139889, [ 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 33.16/33.52 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 33.16/33.52 , 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139890, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 33.16/33.52 ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139891, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139892, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139893, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139894, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 hBOOL( hAPP( Y, 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y
% 33.16/33.52 , Z ) ) ) ) ] )
% 33.16/33.52 , clause( 139895, [ 'c_lessequals'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139896, [ 'c_lessequals'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139897, [ 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139898, [ 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139899, [ 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 33.16/33.52 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 33.16/33.52 , 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139900, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139901, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139902, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 Y, 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 139903, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139904, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139905, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 33.16/33.52 'c_lessequals'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139906, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139907, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 33.16/33.52 , clause( 139908, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 33.16/33.52 , clause( 139909, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 33.16/33.52 , clause( 139910, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 33.16/33.52 , clause( 139911, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 139912, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 33.16/33.52 , X ) ) ), =( Y, Z ) ] )
% 33.16/33.52 , clause( 139913, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 33.16/33.52 , X ) ) ), =( Y, Z ) ] )
% 33.16/33.52 , clause( 139914, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 33.16/33.52 ) ) ) ), =( X, Z ) ] )
% 33.16/33.52 , clause( 139915, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 33.16/33.52 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 33.16/33.52 ~( 'c_lessequals'( T, Y, X ) ) ] )
% 33.16/33.52 , clause( 139916, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 33.16/33.52 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 33.16/33.52 ~( 'c_lessequals'( T, Y, X ) ) ] )
% 33.16/33.52 , clause( 139917, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ] )
% 33.16/33.52 , clause( 139918, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 33.16/33.52 ), =( Z, Y ) ] )
% 33.16/33.52 , clause( 139919, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139920, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 33.16/33.52 ), =( Z, Y ) ] )
% 33.16/33.52 , clause( 139921, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 33.16/33.52 , clause( 139922, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139923, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 33.16/33.52 , clause( 139924, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 33.16/33.52 , clause( 139925, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 33.16/33.52 , clause( 139926, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139927, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.16/33.52 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 33.16/33.52 , clause( 139928, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.16/33.52 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 33.16/33.52 , clause( 139929, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.16/33.52 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 33.16/33.52 , clause( 139930, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.16/33.52 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 33.16/33.52 , clause( 139931, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139932, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ] )
% 33.16/33.52 , clause( 139933, [ =(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_Set_Oinsert'( X
% 33.16/33.52 , Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 33.16/33.52 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139934, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Z, X ) ] )
% 33.16/33.52 , clause( 139935, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139936, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 33.16/33.52 , clause( 139937, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X )
% 33.16/33.52 , T ) ) ) ] )
% 33.16/33.52 , clause( 139938, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 33.16/33.52 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139939, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U
% 33.16/33.52 ), 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139940, [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y
% 33.16/33.52 , hAPP( X, W ) ) ) ] )
% 33.16/33.52 , clause( 139941, [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T )
% 33.16/33.52 , Y ), 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) )
% 33.16/33.52 ) ) ] )
% 33.16/33.52 , clause( 139942, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U
% 33.16/33.52 , V0, W ), 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139943, [ =( 'c_Set_Oinsert'( X,
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ] )
% 33.16/33.52 , clause( 139944, [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( hAPP( Y, 'v_x' ), X ) ) ] )
% 33.16/33.52 , clause( 139945, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139946, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 33.16/33.52 , clause( 139947, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139948, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139949, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 33.16/33.52 , clause( 139950, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139951, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139952, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139953, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139954, [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139955, [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139956, [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U
% 33.16/33.52 , T ), 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ] )
% 33.16/33.52 , clause( 139957, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 33.16/33.52 , clause( 139958, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 33.16/33.52 , clause( 139959, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y
% 33.16/33.52 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 33.16/33.52 hAPP( 'c_in'( Z ), X ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139960, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 33.16/33.52 , clause( 139961, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 33.16/33.52 , clause( 139962, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 33.16/33.52 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 33.16/33.52 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 33.16/33.52 , clause( 139963, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 139964, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 33.16/33.52 , clause( 139965, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139966, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139967, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139968, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139969, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ] )
% 33.16/33.52 , clause( 139970, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139971, [ =( 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139972, [ =(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, Z, 'tc_fun'(
% 33.16/33.52 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 33.16/33.52 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139973, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 33.16/33.52 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 33.16/33.52 , clause( 139974, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 33.16/33.52 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ] )
% 33.16/33.52 , clause( 139975, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y
% 33.16/33.52 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 139976, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 33.16/33.52 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X
% 33.16/33.52 , 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139977, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 33.16/33.52 X, Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T,
% 33.16/33.52 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, X, T, 'tc_fun'(
% 33.16/33.52 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139978, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W
% 33.16/33.52 , V0, V1, T, U ) ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2
% 33.16/33.52 ) ) ) ] )
% 33.16/33.52 , clause( 139979, [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) )
% 33.16/33.52 ) ), =( hAPP( 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP(
% 33.16/33.52 'c_Fun_Ocomp'( T, U, V3, V1, V4 ), W ) ) ] )
% 33.16/33.52 , clause( 139980, [ =( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 33.16/33.52 'c_lessequals'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139981, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T
% 33.16/33.52 ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 33.16/33.52 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139982, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139983, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 33.16/33.52 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 33.16/33.52 Y, X ) ) ] )
% 33.16/33.52 , clause( 139984, [ =(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 33.16/33.52 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 33.16/33.52 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139985, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 33.16/33.52 , clause( 139986, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 33.16/33.52 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 33.16/33.52 , clause( 139987, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 33.16/33.52 Y, Z, 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 33.16/33.52 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 33.16/33.52 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 33.16/33.52 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ] )
% 33.16/33.52 , clause( 139988, [ hBOOL( hAPP(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL( hAPP( X, T )
% 33.16/33.52 ) ) ] )
% 33.16/33.52 , clause( 139989, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 33.16/33.52 ), =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 33.16/33.52 , X ), X ), X ) ) ] )
% 33.16/33.52 , clause( 139990, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 33.16/33.52 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 139991, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 33.16/33.52 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 33.16/33.52 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 33.16/33.52 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 33.16/33.52 , clause( 139992, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139993, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139994, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( 'c_lessequals'( Y, Z
% 33.16/33.52 , X ) ) ] )
% 33.16/33.52 , clause( 139995, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139996, [ =( 'c_Set_Oimage'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 33.16/33.52 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139997, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 139998, [ ~( 'class_Orderings_Oorder'( X ) ),
% 33.16/33.52 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 33.16/33.52 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 139999, [ =(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 'c_Set_Oinsert'( X
% 33.16/33.52 , Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( T, X ),
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T, Z, 'tc_fun'(
% 33.16/33.52 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140000, [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W,
% 33.16/33.52 Z, U, V0 ), 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0
% 33.16/33.52 ) ) ] )
% 33.16/33.52 , clause( 140001, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 33.16/33.52 Y, X ) ) ] )
% 33.16/33.52 , clause( 140002, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 33.16/33.52 Y, X ) ) ] )
% 33.16/33.52 , clause( 140003, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 33.16/33.52 Y, X ) ) ] )
% 33.16/33.52 , clause( 140004, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 33.16/33.52 Y, X ) ) ] )
% 33.16/33.52 , clause( 140005, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140006, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140007, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 140008, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 33.16/33.52 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 140009, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 33.16/33.52 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140010, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool'
% 33.16/33.52 ) ), 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140011, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'(
% 33.16/33.52 Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X,
% 33.16/33.52 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140012, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 140013, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 140014, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140015, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140016, [ 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140017, [ 'c_lessequals'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 140018, [ 'c_lessequals'( X,
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 140019, [ 'c_lessequals'(
% 33.16/33.52 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140020, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 140021, [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ),
% 33.16/33.52 'c_Set_Ovimage'( X, U, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140022, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140023, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 33.16/33.52 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140024, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 33.16/33.52 hAPP( X, 'c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1'( X, Y, Z ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 140025, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ),
% 33.16/33.52 hAPP( X, hAPP( Y, 'v_x' ) ) ) ] )
% 33.16/33.52 , clause( 140026, [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ] )
% 33.16/33.52 , clause( 140027, [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ),
% 33.16/33.52 hAPP( Y, hAPP( X, 'v_x' ) ) ) ] )
% 33.16/33.52 , clause( 140028, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 33.16/33.52 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 33.16/33.52 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 33.16/33.52 , clause( 140029, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 33.16/33.52 Y ), 'tc_bool' ) ), Y ) ] )
% 33.16/33.52 , clause( 140030, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 33.16/33.52 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ] )
% 33.16/33.52 , clause( 140031, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 33.16/33.52 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 33.16/33.52 't_a' ) ), 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ) ), T
% 33.16/33.52 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ] )
% 33.16/33.52 , clause( 140032, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 33.16/33.52 , Z ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ),
% 33.16/33.52 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ), 't_a' ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 140033, [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, 't_a' ),
% 33.16/33.52 'c_Hoare__Mirabelle_Otriple__valid'(
% 33.16/33.52 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__2'( X, Y ), Z, 't_a' ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Z
% 33.16/33.52 ), X ) ) ) ] )
% 33.16/33.52 , clause( 140034, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 33.16/33.52 , Z ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X,
% 33.16/33.52 'v_sko__Hoare__Mirabelle__Xhoare__valids__def__1'( T, X ), 't_a' ) ), ~(
% 33.16/33.52 'c_Hoare__Mirabelle_Ohoare__valids'( T, Z, 't_a' ) ) ] )
% 33.16/33.52 , clause( 140035, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , 'c_lessequals'( Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X )
% 33.16/33.52 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ] )
% 33.16/33.52 , clause( 140036, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , 'c_lessequals'( 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X )
% 33.16/33.52 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ] )
% 33.16/33.52 , clause( 140037, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 33.16/33.52 X ), Y ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 140038, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ) ) ] )
% 33.16/33.52 , clause( 140039, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 33.16/33.52 Y, Z, T, X ), hAPP( Z, U ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ),
% 33.16/33.52 Y ) ) ) ] )
% 33.16/33.52 , clause( 140040, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 33.16/33.52 X ), Y ), 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), ~(
% 33.16/33.52 'c_lessequals'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 140041, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, X ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ) ) ] )
% 33.16/33.52 , clause( 140042, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 33.16/33.52 , 'c_lessequals'( hAPP( Y, Z ),
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ), X )
% 33.16/33.52 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ] )
% 33.16/33.52 , clause( 140043, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'(
% 33.16/33.52 Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ] )
% 33.16/33.52 , clause( 140044, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1'(
% 33.16/33.52 X, Y, Z ) ), Y ) ) ) ] )
% 33.16/33.52 , clause( 140045, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1'( X
% 33.16/33.52 , Y, Z ) ), X ) ) ] )
% 33.16/33.52 , clause( 140046, [ 'c_lessequals'( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ), 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ), 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'(
% 33.16/33.52 Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140047, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( 'c_COMBC'( 'c_in'( Z ), X, Z, 'tc_fun'( Z, 'tc_bool' ),
% 33.16/33.52 'tc_bool' ), 'c_COMBC'( 'c_in'( Z ), Y, Z, 'tc_fun'( Z, 'tc_bool' ),
% 33.16/33.52 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140048, [ 'c_lessequals'(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ] )
% 33.16/33.52 , clause( 140049, [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool'
% 33.16/33.52 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140050, [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool'
% 33.16/33.52 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'(
% 33.16/33.52 X, 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Y, U,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140051, [ 'c_lessequals'( hAPP( X, Y ),
% 33.16/33.52 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 33.16/33.52 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( T ), Y ), Z ) ) ) ] )
% 33.16/33.52 , clause( 140052, [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ),
% 33.16/33.52 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'(
% 33.16/33.52 'c_Set_Oimage'( Y, W, U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140053, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 33.16/33.52 'c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1'( X, Y, Z ) ), Y ) ) ) ] )
% 33.16/33.52 , clause( 140054, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 33.16/33.52 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, 'tc_fun'( X, 'tc_bool' )
% 33.16/33.52 ) ) ), ~( 'c_lessequals'( T, hAPP( Z, T ), 'tc_fun'( X, 'tc_bool' ) ) )
% 33.16/33.52 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ] )
% 33.16/33.52 , clause( 140055, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( Z ), 'c_ATP__Linkup_Osko__Set__XsubsetI__1__1'( X, Y
% 33.16/33.52 , Z ) ), X ) ) ] )
% 33.16/33.52 , clause( 140056, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~(
% 33.16/33.52 'c_lessequals'( 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 140057, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 33.16/33.52 , clause( 140058, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X,
% 33.16/33.52 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140059, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'(
% 33.16/33.52 T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ] )
% 33.16/33.52 , clause( 140060, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) )
% 33.16/33.52 ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ] )
% 33.16/33.52 , clause( 140061, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 33.16/33.52 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 33.16/33.52 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), hAPP( Z
% 33.16/33.52 , 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Y, Z, T, X ) ), X ) )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 140062, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z,
% 33.16/33.52 'tc_fun'( T, X ) ), ~( 'c_lessequals'( hAPP( Y,
% 33.16/33.52 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X ) ),
% 33.16/33.52 hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Y, Z, T, X
% 33.16/33.52 ) ), X ) ) ] )
% 33.16/33.52 , clause( 140063, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 , ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 140064, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatLeast'( Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 140065, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ] )
% 33.16/33.52 , clause( 140066, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140067, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140068, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 33.16/33.52 ) ) ] )
% 33.16/33.52 , clause( 140069, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ),
% 33.16/33.52 ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 140070, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatMost'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 140071, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 33.16/33.52 ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 140072, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OgreaterThan'( Z
% 33.16/33.52 , X ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140073, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 33.16/33.52 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 140074, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 33.16/33.52 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 33.16/33.52 ) ) ) ] )
% 33.16/33.52 , clause( 140075, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Z, X ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140076, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Z, X ), 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 33.16/33.52 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140077, [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 33.16/33.52 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 33.16/33.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ] )
% 33.16/33.52 , clause( 140078, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 33.16/33.52 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 33.16/33.52 't_a' ) ), 'v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1'( X, Z ) ),
% 33.16/33.52 Z ) ) ] )
% 33.16/33.52 , clause( 140079, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 33.16/33.52 , clause( 140080, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 33.16/33.52 'c_lessequals'( Y, T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 33.16/33.52 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ] )
% 33.16/33.52 , clause( 140081, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X,
% 33.16/33.52 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 33.16/33.52 , clause( 140082, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Y, X ) ] )
% 33.16/33.52 , clause( 140083, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Y, X ) ] )
% 33.16/33.52 , clause( 140084, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 33.16/33.52 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140085, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 33.16/33.52 'c_lessequals'( T, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 33.16/33.52 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 33.16/33.52 , clause( 140086, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 33.16/33.52 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 33.16/33.52 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140087, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 140088, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140089, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~(
% 33.16/33.52 'c_lessequals'( T, Z, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( X ), Y ), T ) ) ) ] )
% 33.16/33.52 , clause( 140090, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 140091, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140092, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 33.16/33.52 hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'(
% 33.16/33.52 X, 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140093, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 33.16/33.52 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 33.16/33.52 ] )
% 33.16/33.52 , clause( 140094, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 33.16/33.52 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 140095, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 33.16/33.52 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 33.16/33.52 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 33.16/33.52 , clause( 140096, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 33.16/33.52 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 33.16/33.52 , clause( 140097, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 33.16/33.52 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 140098, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 33.16/33.52 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 33.16/33.52 , clause( 140099, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 140100, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 33.16/33.52 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 33.16/33.52 )
% 33.16/33.52 , clause( 140101, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 33.16/33.52 hAPP( Z, Y ) ) ) ] )
% 33.16/33.52 , clause( 140102, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z
% 33.16/33.52 ), Y ), X ) ) ) ] )
% 33.16/33.52 , clause( 140103, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 33.16/33.52 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 33.16/33.52 'tc_bool' ) ) ) ] )
% 33.16/33.52 , clause( 140104, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z
% 33.16/33.52 ), hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 33.16/33.52 , clause( 140105, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'v_ts_H',
% 33.16/33.52 't_a' ) ] )
% 33.16/33.52 , clause( 140106, [ 'c_lessequals'( 'v_tsa', 'v_ts_H', 'tc_fun'(
% 33.16/33.52 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ] )
% 33.16/33.52 , clause( 140107, [ hBOOL( hAPP( hAPP( 'c_in'(
% 33.16/33.52 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_xa' ), 'v_tsa' ) ) ] )
% 33.16/33.52 , clause( 140108, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa',
% 33.16/33.52 't_a' ) ) ] )
% 33.16/33.52 , clause( 140109, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' )
% 33.16/33.52 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 33.16/33.52 , X ), 'v_Ga' ) ) ) ] )
% 33.16/33.52 , clause( 140110, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 33.16/33.52 , 'v_ts_H' ) ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 33.16/33.52 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_n'( X ) ), 'v_Ga' ) ) ] )
% 33.16/33.52 , clause( 140111, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 33.16/33.52 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 33.16/33.52 , 'v_ts_H' ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_n'( X ),
% 33.16/33.52 't_a' ) ) ] )
% 33.16/33.52 , clause( 140112, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'(
% 33.16/33.52 X, Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 33.16/33.52 , clause( 140113, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y )
% 33.16/33.52 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 33.16/33.52 , clause( 140114, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 33.16/33.52 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 33.16/33.52 , clause( 140115, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) )
% 33.16/33.52 , ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 33.16/33.52 , clause( 140116, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) )
% 33.16/33.52 , ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 33.16/33.52 , clause( 140117, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) )
% 33.16/33.52 , ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 33.16/33.52 , clause( 140118, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 33.16/33.52 'class_Orderings_Opreorder'( Y ) ) ] )
% 33.16/33.52 , clause( 140119, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 33.16/33.52 'class_Lattices_Olattice'( Y ) ) ] )
% 33.16/33.52 , clause( 140120, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 33.16/33.52 'class_Orderings_Oorder'( Y ) ) ] )
% 33.16/33.52 , clause( 140121, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 33.16/33.52 'class_Orderings_Obot'( Y ) ) ] )
% 33.16/33.52 , clause( 140122, [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~(
% 33.16/33.52 'class_HOL_Ouminus'( Y ) ) ] )
% 33.16/33.52 , clause( 140123, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 33.16/33.52 'class_HOL_Ominus'( Y ) ) ] )
% 33.16/33.52 , clause( 140124, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~(
% 33.16/33.52 'class_HOL_Oord'( Y ) ) ] )
% 33.16/33.52 , clause( 140125, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140126, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140127, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140128, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140129, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140130, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140131, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140132, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140133, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140134, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 33.16/33.52 , clause( 140135, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool'
% 33.16/33.52 ) ] )
% 33.16/33.52 , clause( 140136, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140137, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140138, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140139, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140140, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140141, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140142, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140143, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140144, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140145, [ 'class_HOL_Ouminus'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140146, [ 'class_HOL_Ominus'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140147, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 33.16/33.52 , clause( 140148, [ 'c_fequal'( X, X, Y ) ] )
% 33.16/33.52 , clause( 140149, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 33.16/33.52 ] ).
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 subsumption(
% 33.16/33.52 clause( 79, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139638, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 33.16/33.52 'tc_bool' ) ), Y ) ) ) ] )
% 33.16/33.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 33.16/33.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 subsumption(
% 33.16/33.52 clause( 121, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP(
% 33.16/33.52 'c_in'( Z ), X ), Y ) ) ) ] )
% 33.16/33.52 , clause( 139702, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP(
% 33.16/33.52 hAPP( 'c_in'( Z ), X ), Y ) ) ) ] )
% 33.16/33.52 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 33.16/33.52 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 subsumption(
% 33.16/33.52 clause( 185, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 33.16/33.52 , clause( 139770, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 33.16/33.52 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 33.16/33.52 ), ==>( 1, 1 )] ) ).
% 33.16/33.52
% 33.16/33.52
% 33.16/33.52 subsumption(
% 33.16/33.52 clause( 249, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.16/33.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 33.20/33.54 'c_lessequals'( Z, Y, X ) ) ] )
% 33.20/33.54 , clause( 139856, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 33.20/33.54 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 33.20/33.54 'c_lessequals'( Z, Y, X ) ) ] )
% 33.20/33.54 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 33.20/33.54 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 308, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.20/33.54 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 33.20/33.54 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 33.20/33.54 , clause( 139929, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.20/33.54 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 33.20/33.54 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 33.20/33.54 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 33.20/33.54 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 33.20/33.54 ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 326, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 33.20/33.54 , clause( 139949, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 33.20/33.54 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 33.20/33.54 permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 448, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 33.20/33.54 Z, Y ) ) ) ] )
% 33.20/33.54 , clause( 140101, [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL(
% 33.20/33.54 hAPP( Z, Y ) ) ) ] )
% 33.20/33.54 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 33.20/33.54 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 453, [ 'c_lessequals'( 'v_tsa', 'v_ts_H', 'tc_fun'(
% 33.20/33.54 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ] )
% 33.20/33.54 , clause( 140106, [ 'c_lessequals'( 'v_tsa', 'v_ts_H', 'tc_fun'(
% 33.20/33.54 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ] )
% 33.20/33.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 454, [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 33.20/33.54 't_a' ) ), 'v_xa' ), 'v_tsa' ) ) ] )
% 33.20/33.54 , clause( 140107, [ hBOOL( hAPP( hAPP( 'c_in'(
% 33.20/33.54 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_xa' ), 'v_tsa' ) ) ] )
% 33.20/33.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 455, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa', 't_a'
% 33.20/33.54 ) ) ] )
% 33.20/33.54 , clause( 140108, [ ~( 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', 'v_xa',
% 33.20/33.54 't_a' ) ) ] )
% 33.20/33.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 456, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' ), ~(
% 33.20/33.54 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), X )
% 33.20/33.54 , 'v_Ga' ) ) ) ] )
% 33.20/33.54 , clause( 140109, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'v_x', X, 't_a' )
% 33.20/33.54 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 33.20/33.54 , X ), 'v_Ga' ) ) ) ] )
% 33.20/33.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 33.20/33.54 1 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 457, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL(
% 33.20/33.54 hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ),
% 33.20/33.54 'v_ts_H' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'(
% 33.20/33.54 't_a' ) ), 'v_n'( X ) ), 'v_Ga' ) ) ] )
% 33.20/33.54 , clause( 140110, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 33.20/33.54 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 33.20/33.54 , 'v_ts_H' ) ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 33.20/33.54 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_n'( X ) ), 'v_Ga' ) ) ] )
% 33.20/33.54 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 33.20/33.54 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 458, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~( hBOOL(
% 33.20/33.54 hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y ),
% 33.20/33.54 'v_ts_H' ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_n'( X ),
% 33.20/33.54 't_a' ) ) ] )
% 33.20/33.54 , clause( 140111, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, 't_a' ), ~(
% 33.20/33.54 hBOOL( hAPP( hAPP( 'c_in'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), Y )
% 33.20/33.54 , 'v_ts_H' ) ) ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, 'v_n'( X ),
% 33.20/33.54 't_a' ) ) ] )
% 33.20/33.54 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 33.20/33.54 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 461, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ),
% 33.20/33.54 ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 33.20/33.54 , clause( 140114, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 33.20/33.54 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 33.20/33.54 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 33.20/33.54 ), ==>( 1, 1 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 subsumption(
% 33.20/33.54 clause( 489, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 33.20/33.54 , clause( 140142, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 33.20/33.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 eqswap(
% 33.20/33.54 clause( 144769, [ =( Y, X ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'( X,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 33.20/33.54 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 33.20/33.54 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Z, Y ) ] )
% 33.20/33.54 , clause( 308, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.20/33.54 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 33.20/33.54 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 33.20/33.54 , 2, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, U ),
% 33.20/33.54 :=( U, Y )] )).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 eqswap(
% 33.20/33.54 clause( 144771, [ =( Y, X ), =( Y, Z ), ~( =( 'c_Set_Oinsert'( X,
% 33.20/33.54 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 33.20/33.54 'tc_bool' ) ), T ), T ), 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) )
% 33.20/33.54 ] )
% 33.20/33.54 , clause( 144769, [ =( Y, X ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'( X
% 33.20/33.54 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ),
% 33.20/33.54 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 33.20/33.54 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) ), =( Z, Y ) ] )
% 33.20/33.54 , 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X ), :=( T, T ),
% 33.20/33.54 :=( U, U )] )).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 eqswap(
% 33.20/33.54 clause( 144772, [ ~( =( 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.20/33.54 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 33.20/33.54 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( U, X ), =( U, Y ) ] )
% 33.20/33.54 , clause( 144771, [ =( Y, X ), =( Y, Z ), ~( =( 'c_Set_Oinsert'( X,
% 33.20/33.54 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 33.20/33.54 'tc_bool' ) ), T ), T ), 'c_Set_Oinsert'( U, 'c_Set_Oinsert'( Y,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ) )
% 33.20/33.54 ] )
% 33.20/33.54 , 2, substitution( 0, [ :=( X, X ), :=( Y, U ), :=( Z, Y ), :=( T, Z ),
% 33.20/33.54 :=( U, T )] )).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 eqfact(
% 33.20/33.54 clause( 144815, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Z, 'c_Set_Oinsert'(
% 33.20/33.54 T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), U ),
% 33.20/33.54 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 33.20/33.54 'tc_fun'( U, 'tc_bool' ) ), U ), U ) ) ), =( T, Y ) ] )
% 33.20/33.54 , clause( 144772, [ ~( =( 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 33.20/33.54 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 33.20/33.54 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( U, X ), =( U, Y ) ] )
% 33.20/33.54 , 2, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, U ), :=( T, Z ),
% 33.20/33.54 :=( U, T )] )).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 eqswap(
% 33.20/33.54 clause( 144818, [ =( Y, X ), ~( =( Z, Y ) ), ~( =( 'c_Set_Oinsert'( T,
% 33.20/33.54 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 33.20/33.54 'tc_bool' ) ), U ), U ), 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), U ) ) )
% 33.20/33.54 ] )
% 33.20/33.54 , clause( 144815, [ ~( =( X, Y ) ), ~( =( 'c_Set_Oinsert'( Z,
% 33.20/33.54 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 33.20/33.54 'tc_bool' ) ), U ), U ), 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X,
% 33.20/33.54 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), U ) ) )
% 33.20/33.54 , =( T, Y ) ] )
% 33.20/33.54 , 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X ),
% 33.20/33.54 :=( U, U )] )).
% 33.20/33.54
% 33.20/33.54
% 33.20/33.54 eqswap(
% 33.20/33.54 clause( 144820Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------