TSTP Solution File: SWV900-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV900-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:06 EDT 2022
% Result : Unsatisfiable 0.87s 1.29s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV900-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 12:27:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.28 *** allocated 10000 integers for termspace/termends
% 0.87/1.28 *** allocated 10000 integers for clauses
% 0.87/1.28 *** allocated 10000 integers for justifications
% 0.87/1.28 *** allocated 15000 integers for termspace/termends
% 0.87/1.28 Bliksem 1.12
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Automatic Strategy Selection
% 0.87/1.28
% 0.87/1.28 Clauses:
% 0.87/1.28 [
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.28 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.87/1.28 Y, Z ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.87/1.28 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 0.87/1.28 Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), X ) ) ],
% 0.87/1.28 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), =(
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U, T )
% 0.87/1.28 ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.28 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( =( 'c_Option_Ooption_ONone'( X ), 'c_Option_Ooption_OSome'( Y, X )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.87/1.28 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Y,
% 0.87/1.28 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z,
% 0.87/1.28 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.28 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.28 ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a',
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.87/1.28 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W,
% 0.87/1.28 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z,
% 0.87/1.28 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.28 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.28 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.28 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a',
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( Y,
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.87/1.28 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 0.87/1.28 V0, Z ) ) ), hAPP( T, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X
% 0.87/1.28 , Y, W, T, V0, Z ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( U, 't_a' ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.87/1.28 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Y,
% 0.87/1.28 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z,
% 0.87/1.28 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.28 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.28 ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a',
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.87/1.28 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W,
% 0.87/1.28 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z,
% 0.87/1.28 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.28 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.28 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.28 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a',
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ),
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( W,
% 0.87/1.28 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.87/1.28 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 0.87/1.28 V0, Z ) ) ), hAPP( V0, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'(
% 0.87/1.28 X, Y, W, T, V0, Z ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( U, 't_a' ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 0.87/1.28 ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.28 , T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.28 , T ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.87/1.28 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ), ~( hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.87/1.28 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.28 ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.87/1.28 ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( 'c_in'( T, Y, X ) ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.87/1.28 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.87/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.87/1.28 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.87/1.28 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.28 , X ), X ), X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.28 , X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.28 , X ), X ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.28 , X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.28 , X ), X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.28 ) ) ) ],
% 0.87/1.28 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.87/1.28 Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.87/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.28 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.87/1.28 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.28 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), X ), X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.28 [ =( hAPP( 'c_Hoare__Mirabelle_OMGT', X ), hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 0.87/1.28 'tc_Com_Ostate' ) ), X ), 'c_Natural_Oevalc'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( X, 'c_Suc'( 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y
% 0.87/1.28 , X, Z, T ) ) ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', Y ), Z
% 0.87/1.28 , X, T ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.28 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.87/1.28 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.28 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.28 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.87/1.28 , Z ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ) ), T ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ), Y ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ), Y ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ), Y ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.28 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.87/1.28 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.87/1.28 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 0.87/1.28 ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~(
% 0.87/1.28 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ), ~(
% 0.87/1.28 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ), ~(
% 0.87/1.28 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ), ~(
% 0.87/1.28 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.28 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.28 ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.28 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.28 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.28 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.28 ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.28 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.28 X ) ), Y ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.28 X ) ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.87/1.28 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.87/1.28 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.87/1.28 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Z ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Y ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.28 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.87/1.28 , W ) ) ) ],
% 0.87/1.28 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.87/1.28 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.87/1.28 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.28 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 , X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.87/1.28 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.28 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Set_Oinsert'( Z, T, X ) ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 0.87/1.28 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), 'c_Set_Oinsert'( Y
% 0.87/1.28 , U, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Map_Odom'( X, T, Z ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.87/1.28 ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.87/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.87/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.87/1.28 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.87/1.28 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.87/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.28 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.87/1.28 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.28 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.87/1.28 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.87/1.28 T ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.28 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.87/1.28 [ 'c_Map_Omap__le'( X, X, Y, Z ) ],
% 0.87/1.28 [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U, Y, Z, T ) ),
% 0.87/1.28 ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.87/1.28 X, T ), Y ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y
% 0.87/1.28 ), Z ) ), ~( hBOOL( 'c_in'( Z, 'c_SetInterval_Oord__class_OatLeast'( Y,
% 0.87/1.28 X ), X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.28 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Map_Odom'( X
% 0.87/1.28 , T, U ), T ) ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.28 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.28 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ],
% 0.87/1.28 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_ONone'( Y )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( =( 'c_Option_Ooption_OSome'( X, Y ), 'c_Option_Ooption_OSome'( Z, Y
% 0.87/1.28 ) ) ), =( X, Z ) ],
% 0.87/1.28 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ), hBOOL(
% 0.87/1.28 'c_in'( Y, 'c_Map_Odom'( X, U, T ), U ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.87/1.28 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.87/1.28 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( Y, 'c_Map_Odom'( X, T, Z ), T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ) ), =( hAPP( Y, X ),
% 0.87/1.28 'c_Option_Ooption_ONone'( T ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 0.87/1.28 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.87/1.28 Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.28 , Z, X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.28 , Y, X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.28 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.28 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.28 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.28 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.28 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.28 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.28 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.28 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.87/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.87/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.87/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.87/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.87/1.28 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.87/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.28 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.87/1.28 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), T ),
% 0.87/1.28 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y,
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 0.87/1.28 ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 Y, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X )
% 0.87/1.28 , 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.28 ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X
% 0.87/1.28 ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.28 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), X ), Y ) ) ), ~(
% 0.87/1.28 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 0.87/1.28 Y ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.87/1.28 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.87/1.28 Z ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), Z ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), Y ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), X ), Y ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Y ), X ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.28 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), U ), Z ) )
% 0.87/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.87/1.28 , T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Set_Oinsert'( Z, Y, X ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.28 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.28 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Y ), X ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.87/1.28 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.87/1.28 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Ovimage'( Y, Z, X, T ) ), 'c_Set_Ovimage'( Y, U, X, T ) ) ), ~(
% 0.87/1.28 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.87/1.28 ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.87/1.28 ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ) ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.28 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.87/1.28 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.87/1.28 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.87/1.28 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.87/1.28 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.87/1.28 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z,
% 0.87/1.28 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.28 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.28 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__valids'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.87/1.28 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.28 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.28 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.28 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.87/1.28 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.28 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.87/1.28 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.87/1.28 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.87/1.28 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.87/1.28 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.28 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname',
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.87/1.28 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.87/1.28 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y
% 0.87/1.28 ), Z ) ), ~( hBOOL( 'c_in'( Y, 'c_SetInterval_Oord__class_OatMost'( Z, X
% 0.87/1.28 ), X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.87/1.28 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.87/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.87/1.28 , Y, Z, T ) ) ],
% 0.87/1.28 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.28 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), Y ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X,
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.28 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.28 ), Y ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.87/1.28 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.28 , X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.28 , X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.87/1.28 Z ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.28 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), X ) ) )
% 0.87/1.28 , ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~( 'c_Map_Omap__le'( X
% 0.87/1.28 , Y, Z, T ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.87/1.28 ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple__valid'( W, hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), T ), X ), 't_a' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.87/1.28 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.28 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.87/1.28 'c_in'( X, T, Y ) ) ],
% 0.87/1.28 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.87/1.28 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.87/1.28 U ), W ), V0 ) ) ), =( Y, U ) ],
% 0.87/1.28 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.87/1.28 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.87/1.28 U ), W ), V0 ) ) ), =( Z, W ) ],
% 0.87/1.28 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.87/1.28 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.87/1.28 U ), W ), V0 ) ) ), =( T, V0 ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 0.87/1.28 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.87/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.87/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.87/1.28 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.87/1.28 Y, 'v_x' ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.87/1.28 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.87/1.28 , 'tc_bool' ) ), Z ) ) ],
% 0.87/1.28 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.28 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.87/1.28 , 'tc_bool' ) ), T ) ) ],
% 0.87/1.28 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.87/1.28 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.87/1.28 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.28 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.87/1.28 'c_in'( X, Y, Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.87/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.87/1.28 'tc_bool' ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.28 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.87/1.28 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.87/1.28 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.28 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.87/1.28 X, Z, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.87/1.28 X, Z, T ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 Z, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.87/1.28 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.28 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.28 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.87/1.28 'tc_bool' ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 T, 'tc_bool' ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.87/1.28 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 0.87/1.28 Y, X ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.87/1.28 X, T, U ), Z ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.87/1.28 hAPP( X, U ) ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 0.87/1.28 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.87/1.28 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.28 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.87/1.28 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( X, T ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.28 , X ), X ), X ) ) ],
% 0.87/1.28 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.87/1.28 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.28 'c_in'( X, T, Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.28 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 0.87/1.28 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z
% 0.87/1.28 , X ) ) ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ) ],
% 0.87/1.28 [ 'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ), =( hAPP( 'c_Com_Obody',
% 0.87/1.28 X ), 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.87/1.28 , T ) ), U ), Y ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP(
% 0.87/1.28 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.87/1.28 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y )
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.87/1.28 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.87/1.28 , T ) ), U ), Y ) ) ],
% 0.87/1.28 [ =( hAPP( 'c_Option_Othe'( X ), 'c_Option_Ooption_OSome'( Y, X ) ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.87/1.28 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), hAPP( Z, T ) ), hAPP(
% 0.87/1.28 'c_Com_Ocom_OBODY', T ) ), hAPP( U, T ) ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( hBOOL( 'c_in'( T, W,
% 0.87/1.28 'tc_Com_Opname' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.87/1.28 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.28 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.28 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.28 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 Y ) ), W, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.87/1.28 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.28 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.87/1.28 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.87/1.28 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.87/1.28 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U
% 0.87/1.28 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.28 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W, 'tc_Com_Opname',
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.28 , 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.87/1.28 'tc_Com_Ostate' ), X ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.28 , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 0.87/1.28 ~( 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.28 , 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.87/1.28 'tc_Com_Ostate' ), X ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.28 , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) )
% 0.87/1.28 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.28 , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', Y ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ],
% 0.87/1.28 [ ~( =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'( Y,
% 0.87/1.28 'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ],
% 0.87/1.28 [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 0.87/1.28 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.28 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 0.87/1.28 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 0.87/1.28 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.87/1.28 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.87/1.28 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z,
% 0.87/1.28 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.28 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.28 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.87/1.28 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.87/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.87/1.28 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.28 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.28 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.28 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.87/1.28 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.28 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.28 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.28 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.28 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.87/1.28 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.87/1.28 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.87/1.28 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.87/1.28 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.28 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname',
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.28 [ 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.87/1.28 'c_Com_Obody', X ) ), Y,
% 0.87/1.28 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( X, Z, Y, T ), T ),
% 0.87/1.28 ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z, T ) ) ],
% 0.87/1.28 [ 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, 'c_Suc'( Z ), T
% 0.87/1.28 ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.87/1.28 'c_Com_Obody', X ) ), Y, Z, T ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Obot'( X ) ), 'c_Orderings_Obot__axioms'(
% 0.87/1.28 'c_lessequals'( X ), 'c_Orderings_Obot__class_Obot'( X ), X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.28 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.28 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.28 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X )
% 0.87/1.28 , hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Z, T, Y, X )
% 0.87/1.28 ) ), hAPP( T, 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Z, T, Y
% 0.87/1.28 , X ) ) ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X )
% 0.87/1.28 , hAPP( Z, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Z, T, Y
% 0.87/1.28 , X ) ) ), hAPP( T, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'(
% 0.87/1.28 Z, T, Y, X ) ) ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X )
% 0.87/1.28 ), 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.28 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.28 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ),
% 0.87/1.28 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.29 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 0.87/1.29 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 0.87/1.29 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.29 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.87/1.29 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) )
% 0.87/1.29 , 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Z,
% 0.87/1.29 X ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X )
% 0.87/1.29 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.29 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.29 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 0.87/1.29 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 0.87/1.29 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 0.87/1.29 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.29 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.29 , 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ],
% 0.87/1.29 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.29 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.29 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Set_Oimage'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.87/1.29 'tc_fun'( U, 'tc_bool' ) ), U, X ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( Y, Z, U, X
% 0.87/1.29 ), 'c_Set_Oimage'( Y, T, U, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Set_Oimage'( Y, 'c_Set_Ovimage'( Y, Z, T, X ), T, X ) ), Z ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( Y, Z, T, X, U ) ),
% 0.87/1.29 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.29 Z ), 'c_Set_Oimage'( T, Y, X, U ) ) ) ) ],
% 0.87/1.29 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_Set_Oimage'( Z, T, U, Y ) ) ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.87/1.29 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.87/1.29 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_Set_Oimage'( X, U, W, T ) ), Z ) ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( Y, Z, T, X ),
% 0.87/1.29 'c_Set_Oimage'( Y, U, T, X ), 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.29 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T, X ) ) ) ],
% 0.87/1.29 [ =( X, 'c_Set_Oimage'( Y,
% 0.87/1.29 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( Z, X, Y, T, U ), T
% 0.87/1.29 , U ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.29 , X ), 'c_Set_Oimage'( Y, Z, T, U ) ) ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Map_Odom'( Y, X, Z ) ), 'c_Map_Odom'( T, X, Z ) ) ), ~(
% 0.87/1.29 'c_Map_Omap__le'( Y, T, X, Z ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 0.87/1.29 ~( 'c_Com_OWT'( Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.29 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP(
% 0.87/1.29 'c_Com_Ocom_OBODY', 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 0.87/1.29 ~( 'c_Com_OWT'( Y ) ), hBOOL( 'c_in'(
% 0.87/1.29 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ), 'c_Map_Odom'(
% 0.87/1.29 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.87/1.29 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.87/1.29 'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.87/1.29 , T ) ), U ), X, 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Set_Oinsert'(
% 0.87/1.29 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.87/1.29 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.87/1.29 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.87/1.29 'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.87/1.29 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.87/1.29 [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 0.87/1.29 , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) )
% 0.87/1.29 , Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP(
% 0.87/1.29 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z )
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'(
% 0.87/1.29 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ) ), Y ), Z ) ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29 , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~( 'c_Com_OWT'( X ) ), ~(
% 0.87/1.29 'c_Com_OWT__bodies' ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBB'(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.87/1.29 'tc_Com_Ostate' ), ~( 'c_Finite__Set_Ofinite'( Y, 'tc_Com_Opname' ) ),
% 0.87/1.29 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.87/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29 , 'c_Set_Oimage'( 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'(
% 0.87/1.29 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'(
% 0.87/1.29 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.87/1.29 'tc_Com_Ostate' ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ), X,
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'c_Set_Oinsert'( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.87/1.29 'c_Com_Obody', Y ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 Z ), Y ) ) ],
% 0.87/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.87/1.29 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 0.87/1.29 , 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.87/1.29 ), Y ), T ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 X ), Y ), Y ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.87/1.29 ), T ), X ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 0.87/1.29 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), T ) ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.29 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.87/1.29 ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.87/1.29 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.87/1.29 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.87/1.29 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.29 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.29 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 X ), Z ), Y ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 X ), Y ), Z ) ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 X ), Y ), Z ) ) ) ],
% 0.87/1.29 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.87/1.29 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.87/1.29 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ) ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.29 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.29 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.87/1.29 ), Y ), X ) ) ) ],
% 0.87/1.29 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 0.87/1.29 , =( X, Y ) ],
% 0.87/1.29 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.29 ) ), Z, X ) ) ],
% 0.87/1.29 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 0.87/1.29 [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.87/1.29 [ 'c_Com_OWT__bodies' ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'c_Set_Oimage'( 'c_COMBB'(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 0.87/1.29 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 0.87/1.29 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 0.87/1.29 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ) ],
% 0.87/1.29 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oimage'( 'c_COMBB'(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ),
% 0.87/1.29 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Com_Ostate' ) ) ],
% 0.87/1.29 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.87/1.29 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.29 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.29 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.87/1.29 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.87/1.29 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.87/1.29 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.87/1.29 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.29 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.29 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.29 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.29 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.87/1.29 Y ) ) ],
% 0.87/1.29 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.87/1.29 Y ) ) ],
% 0.87/1.29 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.87/1.29 ],
% 0.87/1.29 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 0.87/1.29 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.29 [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.87/1.29 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.87/1.29 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.87/1.29 ] .
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 percentage equality = 0.306766, percentage horn = 0.933206
% 0.87/1.29 This is a problem with some equality
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Options Used:
% 0.87/1.29
% 0.87/1.29 useres = 1
% 0.87/1.29 useparamod = 1
% 0.87/1.29 useeqrefl = 1
% 0.87/1.29 useeqfact = 1
% 0.87/1.29 usefactor = 1
% 0.87/1.29 usesimpsplitting = 0
% 0.87/1.29 usesimpdemod = 5
% 0.87/1.29 usesimpres = 3
% 0.87/1.29
% 0.87/1.29 resimpinuse = 1000
% 0.87/1.29 resimpclauses = 20000
% 0.87/1.29 substype = eqrewr
% 0.87/1.29 backwardsubs = 1
% 0.87/1.29 selectoldest = 5
% 0.87/1.29
% 0.87/1.29 litorderings [0] = split
% 0.87/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.29
% 0.87/1.29 termordering = kbo
% 0.87/1.29
% 0.87/1.29 litapriori = 0
% 0.87/1.29 termapriori = 1
% 0.87/1.29 litaposteriori = 0
% 0.87/1.29 termaposteriori = 0
% 0.87/1.29 demodaposteriori = 0
% 0.87/1.29 ordereqreflfact = 0
% 0.87/1.29
% 0.87/1.29 litselect = negord
% 0.87/1.29
% 0.87/1.29 maxweight = 15
% 0.87/1.29 maxdepth = 30000
% 0.87/1.29 maxlength = 115
% 0.87/1.29 maxnrvars = 195
% 0.87/1.29 excuselevel = 1
% 0.87/1.29 increasemaxweight = 1
% 0.87/1.29
% 0.87/1.29 maxselected = 10000000
% 0.87/1.29 maxnrclauses = 10000000
% 0.87/1.29
% 0.87/1.29 showgenerated = 0
% 0.87/1.29 showkept = 0
% 0.87/1.29 showselected = 0
% 0.87/1.29 showdeleted = 0
% 0.87/1.29 showresimp = 1
% 0.87/1.29 showstatus = 2000
% 0.87/1.29
% 0.87/1.29 prologoutput = 1
% 0.87/1.29 nrgoals = 5000000
% 0.87/1.29 totalproof = 1
% 0.87/1.29
% 0.87/1.29 Symbols occurring in the translation:
% 0.87/1.29
% 0.87/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.29 . [1, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.87/1.29 ! [4, 1] (w:0, o:92, a:1, s:1, b:0),
% 0.87/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.29 'class_Orderings_Oorder' [40, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost' [42, 3] (w:1, o:169, a:1
% 0.87/1.29 , s:1, b:0),
% 0.87/1.29 'tc_bool' [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.87/1.29 'tc_fun' [44, 2] (w:1, o:157, a:1, s:1, b:0),
% 0.87/1.29 'c_Orderings_Obot__class_Obot' [45, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.87/1.29 'c_Set_Oinsert' [46, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.87/1.29 'class_Lattices_Oboolean__algebra' [47, 1] (w:1, o:100, a:1, s:1, b:0
% 0.87/1.29 ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup' [50, 3] (w:1, o:171, a:1
% 0.87/1.29 , s:1, b:0),
% 0.87/1.29 'c_Orderings_Otop__class_Otop' [51, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf' [52, 3] (w:1, o:172, a:1
% 0.87/1.29 , s:1, b:0),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus' [53, 2] (w:1, o:158, a:1, s:1, b:0),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus' [55, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost' [58, 3] (w:1, o:174
% 0.87/1.29 , a:1, s:1, b:0),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan' [59, 2] (w:1, o:159, a:1, s:
% 0.87/1.29 1, b:0),
% 0.87/1.29 'class_Orderings_Olinorder' [60, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan' [62, 2] (w:1, o:160, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast' [63, 2] (w:1, o:161, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'class_Lattices_Olattice' [64, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.87/1.29 'c_lessequals' [65, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.87/1.29 hAPP [67, 2] (w:1, o:162, a:1, s:1, b:0),
% 0.87/1.29 hBOOL [68, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.87/1.29 'class_Lattices_Olower__semilattice' [70, 1] (w:1, o:106, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost' [72, 2] (w:1, o:163, a:1, s:1, b:
% 0.87/1.29 0),
% 0.87/1.29 'c_Option_Ooption_OSome' [74, 2] (w:1, o:164, a:1, s:1, b:0),
% 0.87/1.29 'c_Map_Odom' [76, 3] (w:1, o:175, a:1, s:1, b:0),
% 0.87/1.29 'c_in' [78, 3] (w:1, o:176, a:1, s:1, b:0),
% 0.87/1.29 'class_Lattices_Oupper__semilattice' [79, 1] (w:1, o:107, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'c_Finite__Set_Olinorder__class_OMax' [81, 2] (w:1, o:165, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'class_OrderedGroup_Oab__group__add' [82, 1] (w:1, o:108, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'c_Option_Ooption_ONone' [86, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.87/1.29 'c_Set_Oimage' [88, 4] (w:1, o:184, a:1, s:1, b:0),
% 0.87/1.29 't_b' [90, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple' [91, 1] (w:1, o:110, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'tc_Com_Ostate' [93, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.87/1.29 'tc_Com_Ocom' [94, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple' [95, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.87/1.29 't_a' [96, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.87/1.29 'c_COMBB' [97, 5] (w:1, o:191, a:1, s:1, b:0),
% 0.87/1.29 'c_COMBS' [99, 5] (w:1, o:192, a:1, s:1, b:0),
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs' [102, 3] (w:1, o:177, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1' [105, 6] (w:1, o:194
% 0.87/1.29 , a:1, s:1, b:0),
% 0.87/1.29 'c_Finite__Set_Ofinite' [106, 2] (w:1, o:166, a:1, s:1, b:0),
% 0.87/1.29 'c_Set_Ovimage' [107, 4] (w:1, o:185, a:1, s:1, b:0),
% 0.87/1.29 'class_HOL_Ominus' [108, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.87/1.29 'v_x' [109, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.87/1.29 'class_OrderedGroup_Olordered__ab__group__add' [111, 1] (w:1, o:113
% 0.87/1.29 , a:1, s:1, b:0),
% 0.87/1.29 'class_Finite__Set_Ofinite_Ofinite' [113, 1] (w:1, o:114, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanLessThan' [114, 3] (w:1, o:178
% 0.87/1.29 , a:1, s:1, b:0),
% 0.87/1.29 'class_Complete__Lattice_Ocomplete__lattice' [115, 1] (w:1, o:115, a:
% 0.87/1.29 1, s:1, b:0),
% 0.87/1.29 'c_Complete__Lattice_OSup__class_OSup' [116, 2] (w:1, o:167, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT' [117, 0] (w:1, o:56, a:1, s:1, b:0),
% 0.87/1.29 'c_fequal' [118, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.87/1.29 'c_Natural_Oevalc' [119, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.87/1.29 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1' [122, 4] (w:1
% 0.87/1.29 , o:187, a:1, s:1, b:0),
% 0.87/1.29 'c_Suc' [123, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.87/1.29 'c_Com_Ocom_OBODY' [124, 0] (w:1, o:60, a:1, s:1, b:0),
% 0.87/1.29 'c_Natural_Oevaln' [125, 4] (w:1, o:188, a:1, s:1, b:0),
% 0.87/1.29 'class_OrderedGroup_Ogroup__add' [126, 1] (w:1, o:118, a:1, s:1, b:0)
% 0.87/1.29 ,
% 0.87/1.29 'class_OrderedGroup_Opordered__ab__group__add' [129, 1] (w:1, o:119
% 0.87/1.29 , a:1, s:1, b:0),
% 0.87/1.29 'class_Orderings_Otop' [130, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.87/1.29 'c_COMBK' [133, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.87/1.29 'class_Lattices_Odistrib__lattice' [135, 1] (w:1, o:121, a:1, s:1, b:
% 0.87/1.29 0),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan' [137, 3] (w:1, o:180, a:
% 0.87/1.29 1, s:1, b:0),
% 0.87/1.29 'class_Lattices_Obounded__lattice' [138, 1] (w:1, o:122, a:1, s:1, b:
% 0.87/1.29 0),
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple__valid' [140, 3] (w:1, o:181, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'c_Map_Omap__le' [141, 4] (w:1, o:186, a:1, s:1, b:0),
% 0.87/1.29 'class_HOL_Oord' [145, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.87/1.29 'c_Finite__Set_Olinorder__class_OMin' [151, 2] (w:1, o:168, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'tc_Com_Opname' [155, 0] (w:1, o:77, a:1, s:1, b:0),
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__valids' [157, 3] (w:1, o:182, a:1, s:1
% 0.87/1.29 , b:0),
% 0.87/1.29 'c_Option_Othe' [158, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.87/1.29 'c_Com_Obody' [159, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.87/1.29 'tc_Option_Ooption' [160, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.87/1.29 'class_HOL_Ouminus' [170, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.87/1.29 'c_Com_OWT' [172, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.87/1.29 'c_Com_OWT__bodies' [173, 0] (w:1, o:81, a:1, s:1, b:0),
% 0.87/1.29 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1' [174, 1] (w:1, o:128
% 0.87/1.29 , a:1, s:1, b:0),
% 0.87/1.29 'c_Hoare__Mirabelle_Ostate__not__singleton' [175, 0] (w:1, o:82, a:1
% 0.87/1.29 , s:1, b:0),
% 0.87/1.29 'class_Orderings_Obot' [179, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.87/1.29 'c_Orderings_Obot__axioms' [180, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.87/1.29 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1' [181, 4] (w:1, o:189
% 0.87/1.29 , a:1, s:1, b:0),
% 0.87/1.29 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1' [182, 4] (w:1
% 0.87/1.29 , o:190, a:1, s:1, b:0),
% 0.87/1.29 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1' [183, 5] (w:1
% 0.87/1.29 , o:193, a:1, s:1, b:0),
% 0.87/1.29 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1' [184, 1] (w:1, o:130, a:1
% 0.87/1.29 , s:1, b:0),
% 0.87/1.29 'class_Orderings_Opreorder' [186, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.87/1.29 'tc_nat' [192, 0] (w:1, o:90, a:1, s:1, b:0),
% 0.87/1.29 'c_COMBC' [193, 6] (w:1, o:195, a:1, s:1, b:0).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Starting Search:
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Bliksems!, er is een bewijs:
% 0.87/1.29 % SZS status Unsatisfiable
% 0.87/1.29 % SZS output start Refutation
% 0.87/1.29
% 0.87/1.29 clause( 451, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), Y ) ] )
% 0.87/1.29 .
% 0.87/1.29 clause( 462, [] )
% 0.87/1.29 .
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 % SZS output end Refutation
% 0.87/1.29 found a proof!
% 0.87/1.29
% 0.87/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.29
% 0.87/1.29 initialclauses(
% 0.87/1.29 [ clause( 464, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.87/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 0.87/1.29 , clause( 465, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 0.87/1.29 , clause( 466, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.29 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.87/1.29 Y, Z ) ) ] )
% 0.87/1.29 , clause( 467, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 468, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.87/1.29 , X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'(
% 0.87/1.29 Y, X ) ) ] )
% 0.87/1.29 , clause( 469, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ) ] )
% 0.87/1.29 , clause( 470, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ] )
% 0.87/1.29 , clause( 471, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z
% 0.87/1.29 , 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.29 , clause( 472, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.87/1.29 , clause( 473, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.87/1.29 , clause( 474, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 475, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), X ) ) ] )
% 0.87/1.29 , clause( 476, [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ),
% 0.87/1.29 =( 'c_Set_Oinsert'( Y, 'c_Map_Odom'( X, U, T ), U ), 'c_Map_Odom'( X, U,
% 0.87/1.29 T ) ) ] )
% 0.87/1.29 , clause( 477, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 478, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 479, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 480, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 481, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 482, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 483, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 484, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 485, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.87/1.29 , clause( 486, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 487, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 488, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.29 , T, X ) ) ), =( Z, T ) ] )
% 0.87/1.29 , clause( 489, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.29 , T, X ) ) ), =( Y, Z ) ] )
% 0.87/1.29 , clause( 490, [ ~( =( 'c_Option_Ooption_ONone'( X ),
% 0.87/1.29 'c_Option_Ooption_OSome'( Y, X ) ) ) ] )
% 0.87/1.29 , clause( 491, [ ~( =( 'c_Option_Ooption_ONone'( X ),
% 0.87/1.29 'c_Option_Ooption_OSome'( Y, X ) ) ) ] )
% 0.87/1.29 , clause( 492, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 493, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.87/1.29 't_b' ), Y, 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.29 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.29 ), 't_a' ), Z, 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.29 ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.87/1.29 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W,
% 0.87/1.29 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z,
% 0.87/1.29 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.29 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.29 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( Y,
% 0.87/1.29 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.87/1.29 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 0.87/1.29 V0, Z ) ) ), hAPP( T, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X
% 0.87/1.29 , Y, W, T, V0, Z ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( U, 't_a' ) ) ] )
% 0.87/1.29 , clause( 494, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.87/1.29 't_b' ), Y, 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.29 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.29 ), 't_a' ), Z, 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.29 ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'( 'c_COMBS'(
% 0.87/1.29 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W,
% 0.87/1.29 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z,
% 0.87/1.29 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.87/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.87/1.29 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.29 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U, 't_a',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ),
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( W,
% 0.87/1.29 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 0.87/1.29 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 0.87/1.29 V0, Z ) ) ), hAPP( V0, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'(
% 0.87/1.29 X, Y, W, T, V0, Z ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( U, 't_a' ) ) ] )
% 0.87/1.29 , clause( 495, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 496, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 497, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 0.87/1.29 ) ) ) ] )
% 0.87/1.29 , clause( 498, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.87/1.29 , clause( 499, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.87/1.29 , clause( 500, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL(
% 0.87/1.29 'c_in'( X, Y, Z ) ) ] )
% 0.87/1.29 , clause( 501, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.29 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 0.87/1.29 'c_in'( X, Y, T ) ) ) ] )
% 0.87/1.29 , clause( 502, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.29 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 0.87/1.29 'c_in'( X, Y, T ) ) ) ] )
% 0.87/1.29 , clause( 503, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Set_Ovimage'( X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 504, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) )
% 0.87/1.29 , Y ) ) ) ] )
% 0.87/1.29 , clause( 505, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 506, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL(
% 0.87/1.29 hAPP( Y, T ) ) ) ] )
% 0.87/1.29 , clause( 507, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T
% 0.87/1.29 , U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 508, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.87/1.29 Z, Y, X ) ) ] )
% 0.87/1.29 , clause( 509, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Z ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X
% 0.87/1.29 ) ) ) ) ] )
% 0.87/1.29 , clause( 510, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.87/1.29 Z, Y, X ) ) ] )
% 0.87/1.29 , clause( 511, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( 'c_in'( T, Y
% 0.87/1.29 , X ) ) ] )
% 0.87/1.29 , clause( 512, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z
% 0.87/1.29 ) ) ), hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 513, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ] )
% 0.87/1.29 , clause( 514, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ] )
% 0.87/1.29 , clause( 515, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 516, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 517, [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 518, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 519, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 520, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 521, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ),
% 0.87/1.29 ~( hBOOL( 'c_in'( hAPP( Y, X ), Z, U ) ) ) ] )
% 0.87/1.29 , clause( 522, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ),
% 0.87/1.29 ~( hBOOL( 'c_in'( hAPP( Y, X ), Z, U ) ) ) ] )
% 0.87/1.29 , clause( 523, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ),
% 0.87/1.29 ~( hBOOL( 'c_in'( hAPP( Y, X ), Z, U ) ) ) ] )
% 0.87/1.29 , clause( 524, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y
% 0.87/1.29 , 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ] )
% 0.87/1.29 , clause( 525, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y
% 0.87/1.29 , 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ] )
% 0.87/1.29 , clause( 526, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.29 =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.29 , X ), X ), X ) ) ] )
% 0.87/1.29 , clause( 527, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 528, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.87/1.29 , clause( 529, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.87/1.29 , clause( 530, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 531, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.29 , X ), X ) ) ] )
% 0.87/1.29 , clause( 532, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.29 =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.29 , X ), X ) ) ] )
% 0.87/1.29 , clause( 533, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.29 , Z ) ) ) ] )
% 0.87/1.29 , clause( 534, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 535, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 536, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.87/1.29 , clause( 537, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.87/1.29 , clause( 538, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 539, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.29 , X ), X ) ) ] )
% 0.87/1.29 , clause( 540, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.29 =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.29 , X ), X ) ) ] )
% 0.87/1.29 , clause( 541, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.29 ) ) ) ] )
% 0.87/1.29 , clause( 542, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 0.87/1.29 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 0.87/1.29 , clause( 543, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.87/1.29 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , clause( 544, [ =( 'c_Set_Ovimage'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), U, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 0.87/1.29 , 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 545, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.29 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), X ), X ), X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.87/1.29 , clause( 546, [ =( hAPP( 'c_Hoare__Mirabelle_OMGT', X ), hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 0.87/1.29 'tc_Com_Ostate' ) ), X ), 'c_Natural_Oevalc'( X ) ) ) ] )
% 0.87/1.29 , clause( 547, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 548, [ =( X, 'c_Suc'(
% 0.87/1.29 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y, X, Z, T ) ) ),
% 0.87/1.29 ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', Y ), Z, X, T ) ) ] )
% 0.87/1.29 , clause( 549, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 550, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), X ) ) ] )
% 0.87/1.29 , clause( 551, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.87/1.29 ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.87/1.29 hBOOL( 'c_in'( X, T, Z ) ) ] )
% 0.87/1.29 , clause( 552, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.29 , clause( 553, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.29 , clause( 554, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.29 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 555, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.87/1.29 ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.87/1.29 , Z ) ) ] )
% 0.87/1.29 , clause( 556, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T
% 0.87/1.29 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.87/1.29 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ) ) ) ) ] )
% 0.87/1.29 , clause( 557, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ) ), T ) ) ) ] )
% 0.87/1.29 , clause( 558, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Y, 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 559, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.29 ), Y ) ] )
% 0.87/1.29 , clause( 560, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.29 ), Y ) ] )
% 0.87/1.29 , clause( 561, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , clause( 562, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , clause( 563, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.29 ), Y ) ] )
% 0.87/1.29 , clause( 564, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.29 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 0.87/1.29 , clause( 565, [ =( 'c_Set_Ovimage'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), U, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 0.87/1.29 , 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 566, [ 'c_Finite__Set_Ofinite'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.87/1.29 , clause( 567, [ 'c_Finite__Set_Ofinite'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 0.87/1.29 , clause( 568, [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ),
% 0.87/1.29 ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ] )
% 0.87/1.29 , clause( 569, [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( X ), Y ), Z ) ),
% 0.87/1.29 ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ] )
% 0.87/1.29 , clause( 570, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.29 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.29 ), U ), T ) ) ) ] )
% 0.87/1.29 , clause( 571, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.29 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.29 ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 572, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.29 X ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 573, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.87/1.29 X ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 574, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 575, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 576, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.29 X ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 577, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.87/1.29 X ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 578, [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ] )
% 0.87/1.29 , clause( 579, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Y ) ) ] )
% 0.87/1.29 , clause( 580, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Z ) ) ] )
% 0.87/1.29 , clause( 581, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 582, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 583, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 584, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.29 X ) ), Z ) ) ] )
% 0.87/1.29 , clause( 585, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.29 X ) ), Y ) ) ] )
% 0.87/1.29 , clause( 586, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 587, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.29 , clause( 588, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 589, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.29 , X ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 590, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ] )
% 0.87/1.29 , clause( 591, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 592, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.29 , clause( 593, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 594, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 595, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 596, [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W
% 0.87/1.29 ), hAPP( Y, W ) ) ) ] )
% 0.87/1.29 , clause( 597, [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ] )
% 0.87/1.29 , clause( 598, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 599, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 600, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.87/1.29 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 0.87/1.29 , clause( 601, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 602, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.87/1.29 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 603, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.87/1.29 , clause( 604, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.87/1.29 , clause( 605, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.87/1.29 , clause( 606, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 0.87/1.29 , clause( 607, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 608, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 609, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 610, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.87/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 611, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 612, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.87/1.29 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.87/1.29 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 0.87/1.29 , clause( 613, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 614, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.29 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 615, [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 616, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.87/1.29 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.29 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 617, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.87/1.29 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), Y ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ] )
% 0.87/1.29 , clause( 618, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.29 'c_Set_Oinsert'( Z, T, X ) ) ) ) ] )
% 0.87/1.29 , clause( 619, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) )
% 0.87/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.87/1.29 , clause( 620, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) )
% 0.87/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.87/1.29 , clause( 621, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.87/1.29 ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ] )
% 0.87/1.29 , clause( 622, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 623, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatLeast'( Y,
% 0.87/1.29 X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y
% 0.87/1.29 , X ) ) ] )
% 0.87/1.29 , clause( 624, [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), =(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( 'c_Map_Odom'( X, T, Z ), 'c_Set_Oinsert'( Y
% 0.87/1.29 , U, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Map_Odom'( X, T, Z ), U, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 625, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 626, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 627, [ hBOOL( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'( X, Y, Z ) ) ] )
% 0.87/1.29 , clause( 628, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.29 , clause( 629, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.29 , clause( 630, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.87/1.29 ) ) ) ] )
% 0.87/1.29 , clause( 631, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 632, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 633, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 0.87/1.29 , clause( 634, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 0.87/1.29 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T ) ) ] )
% 0.87/1.29 , clause( 635, [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.29 , 'tc_fun'( T, 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Set_Ovimage'( X, Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U
% 0.87/1.29 , 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 636, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.87/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 637, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 638, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'(
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 639, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.29 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X
% 0.87/1.29 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ] )
% 0.87/1.29 , clause( 640, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.87/1.29 X ) ) ] )
% 0.87/1.29 , clause( 641, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.87/1.29 , clause( 642, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ) ) ] )
% 0.87/1.29 , clause( 643, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 644, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 645, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z
% 0.87/1.29 , T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 646, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z
% 0.87/1.29 , T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 647, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y
% 0.87/1.29 , 'tc_bool' ) ), Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 0.87/1.29 , clause( 648, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) )
% 0.87/1.29 , ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.87/1.29 , clause( 649, [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'(
% 0.87/1.29 hAPP( Y, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.29 , Z ), T, Z ), T ) ) ] )
% 0.87/1.29 , clause( 650, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ) ) ] )
% 0.87/1.29 , clause( 651, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ] )
% 0.87/1.29 , clause( 652, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ] )
% 0.87/1.29 , clause( 653, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.87/1.29 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 0.87/1.29 , clause( 654, [ 'c_Map_Omap__le'( X, X, Y, Z ) ] )
% 0.87/1.29 , clause( 655, [ 'c_Map_Omap__le'( X, Y, Z, T ), ~( 'c_Map_Omap__le'( U, Y
% 0.87/1.29 , Z, T ) ), ~( 'c_Map_Omap__le'( X, U, Z, T ) ) ] )
% 0.87/1.29 , clause( 656, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.87/1.29 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 0.87/1.29 , clause( 657, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 658, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 659, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Z,
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ), X ) ) ) ] )
% 0.87/1.29 , clause( 660, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 661, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ] )
% 0.87/1.29 , clause( 662, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.87/1.29 ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.87/1.29 , clause( 663, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 664, [ =( hAPP( X, Y ), hAPP( Z, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.29 'c_Map_Odom'( X, T, U ), T ) ) ), ~( 'c_Map_Omap__le'( X, Z, T, U ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 665, [ 'c_Finite__Set_Ofinite'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 0.87/1.29 , clause( 666, [ 'c_Finite__Set_Ofinite'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 0.87/1.29 , clause( 667, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ] )
% 0.87/1.29 , clause( 668, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ) ] )
% 0.87/1.29 , clause( 669, [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.87/1.29 Y, 'tc_bool' ) ), Y ) ) ] )
% 0.87/1.29 , clause( 670, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ),
% 0.87/1.29 'c_Option_Ooption_ONone'( Y ) ) ) ] )
% 0.87/1.29 , clause( 671, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ),
% 0.87/1.29 'c_Option_Ooption_ONone'( Y ) ) ) ] )
% 0.87/1.29 , clause( 672, [ ~( =( 'c_Option_Ooption_OSome'( X, Y ),
% 0.87/1.29 'c_Option_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 0.87/1.29 , clause( 673, [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_OSome'( Z, T ) ) ),
% 0.87/1.29 hBOOL( 'c_in'( Y, 'c_Map_Odom'( X, U, T ), U ) ) ] )
% 0.87/1.29 , clause( 674, [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, 'tc_fun'(
% 0.87/1.29 Y, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 675, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.87/1.29 , clause( 676, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.87/1.29 , clause( 677, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 0.87/1.29 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.29 , clause( 678, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 0.87/1.29 , clause( 679, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 0.87/1.29 , clause( 680, [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ),
% 0.87/1.29 ~( hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 681, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 682, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 683, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 684, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 685, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 686, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 687, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.87/1.29 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 688, [ ~( =( hAPP( X, Y ), 'c_Option_Ooption_ONone'( Z ) ) ), ~(
% 0.87/1.29 hBOOL( 'c_in'( Y, 'c_Map_Odom'( X, T, Z ), T ) ) ) ] )
% 0.87/1.29 , clause( 689, [ hBOOL( 'c_in'( X, 'c_Map_Odom'( Y, Z, T ), Z ) ), =( hAPP(
% 0.87/1.29 Y, X ), 'c_Option_Ooption_ONone'( T ) ) ] )
% 0.87/1.29 , clause( 690, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 691, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.87/1.29 , Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 0.87/1.29 , clause( 692, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.29 , X, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 0.87/1.29 , clause( 693, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OatMost'( Y, X
% 0.87/1.29 ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.87/1.29 Y, X ) ) ] )
% 0.87/1.29 , clause( 694, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.87/1.29 , clause( 695, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ] )
% 0.87/1.29 , clause( 696, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ] )
% 0.87/1.29 , clause( 697, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 698, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 699, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.29 , Y, X ) ) ) ] )
% 0.87/1.29 , clause( 700, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.29 , Z, X ) ) ) ] )
% 0.87/1.29 , clause( 701, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.87/1.29 , T, X ) ) ) ) ] )
% 0.87/1.29 , clause( 702, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T
% 0.87/1.29 , Z, X ) ) ) ) ] )
% 0.87/1.29 , clause( 703, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 704, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ] )
% 0.87/1.29 , clause( 705, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.87/1.29 , T, X ) ) ) ) ] )
% 0.87/1.29 , clause( 706, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T
% 0.87/1.29 , Z, X ) ) ) ) ] )
% 0.87/1.29 , clause( 707, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Z ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 708, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Z ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 709, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.29 , X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ] )
% 0.87/1.29 , clause( 710, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.29 , X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ] )
% 0.87/1.29 , clause( 711, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 0.87/1.29 , clause( 712, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 0.87/1.29 , clause( 713, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.29 , clause( 714, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 X ) ) ] )
% 0.87/1.29 , clause( 715, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.29 , clause( 716, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.29 , clause( 717, [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 718, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 719, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.29 , clause( 720, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 721, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.29 , clause( 722, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.29 , clause( 723, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 0.87/1.29 , clause( 724, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 0.87/1.29 , clause( 725, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 0.87/1.29 , clause( 726, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 0.87/1.29 , clause( 727, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.29 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 0.87/1.29 , clause( 728, [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , clause( 729, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ) ) ] )
% 0.87/1.29 , clause( 730, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 731, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ), Y ) ] )
% 0.87/1.29 , clause( 732, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 733, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 734, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 735, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 736, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ) ) ] )
% 0.87/1.29 , clause( 737, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 0.87/1.29 , clause( 738, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.29 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 0.87/1.29 , clause( 739, [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X
% 0.87/1.29 , Z ) ] )
% 0.87/1.29 , clause( 740, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 741, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 742, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 743, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X, Y,
% 0.87/1.29 Z, T, U ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U
% 0.87/1.29 , T ), T ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 744, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.87/1.29 , clause( 745, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ) ) ] )
% 0.87/1.29 , clause( 746, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ) ] )
% 0.87/1.29 , clause( 747, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.87/1.29 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), Y ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 748, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 749, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 T, 'tc_bool' ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T
% 0.87/1.29 , 'tc_bool' ) ), X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ] )
% 0.87/1.29 , clause( 750, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 751, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 0.87/1.29 , clause( 752, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ) ] )
% 0.87/1.29 , clause( 753, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.87/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.87/1.29 , Y ) ) ) ] )
% 0.87/1.29 , clause( 754, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL(
% 0.87/1.29 'c_in'( X, T, Z ) ) ) ] )
% 0.87/1.29 , clause( 755, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.87/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.87/1.29 , Y ) ) ) ] )
% 0.87/1.29 , clause( 756, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.87/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.87/1.29 , Y ) ) ) ] )
% 0.87/1.29 , clause( 757, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 758, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 759, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 760, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 761, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 762, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ) ), Z ) ) ] )
% 0.87/1.29 , clause( 763, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ) ), Y ) ) ] )
% 0.87/1.29 , clause( 764, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 765, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ] )
% 0.87/1.29 , clause( 766, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y ), X ) ) ) ] )
% 0.87/1.29 , clause( 767, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.29 , clause( 768, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), U ), Z ) )
% 0.87/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.87/1.29 , T ) ) ) ] )
% 0.87/1.29 , clause( 769, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Set_Oinsert'( Z, Y, X ) ) ) ] )
% 0.87/1.29 , clause( 770, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 771, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 772, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 773, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 774, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 775, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.29 , clause( 776, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y ), X ) ) ) ] )
% 0.87/1.29 , clause( 777, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.87/1.29 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 778, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ) ) ) ] )
% 0.87/1.29 , clause( 779, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ) ) ) ] )
% 0.87/1.29 , clause( 780, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.87/1.29 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 781, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , clause( 782, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Set_Ovimage'( Y, Z, X, T ) ), 'c_Set_Ovimage'( Y, U, X, T ) ) )
% 0.87/1.29 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ),
% 0.87/1.29 U ) ) ) ] )
% 0.87/1.29 , clause( 783, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.87/1.29 , clause( 784, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ] )
% 0.87/1.29 , clause( 785, [ =( 'c_Set_Oimage'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.87/1.29 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 786, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.87/1.29 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ] )
% 0.87/1.29 , clause( 787, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T )
% 0.87/1.29 , ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.87/1.29 , clause( 788, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X
% 0.87/1.29 ), 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ] )
% 0.87/1.29 , clause( 789, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X
% 0.87/1.29 ), 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ] )
% 0.87/1.29 , clause( 790, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U )
% 0.87/1.29 , U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ] )
% 0.87/1.29 , clause( 791, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U )
% 0.87/1.29 , U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ] )
% 0.87/1.29 , clause( 792, [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.29 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.29 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__valids'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.29 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.29 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.87/1.29 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.87/1.29 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.87/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.87/1.29 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.29 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.87/1.29 , clause( 793, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 0.87/1.29 , clause( 794, [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ] )
% 0.87/1.29 , clause( 795, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.87/1.29 , clause( 796, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.87/1.29 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 797, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.87/1.29 , 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.29 , clause( 798, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 799, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ) ) ] )
% 0.87/1.29 , clause( 800, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Z, X ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 801, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.87/1.29 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , clause( 802, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.87/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 803, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 804, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 805, [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~(
% 0.87/1.29 'c_Natural_Oevaln'( X, Y, Z, T ) ) ] )
% 0.87/1.29 , clause( 806, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z
% 0.87/1.29 ) ) ), ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ) ] )
% 0.87/1.29 , clause( 807, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ] )
% 0.87/1.29 , clause( 808, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ] )
% 0.87/1.29 , clause( 809, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ), Y ) ] )
% 0.87/1.29 , clause( 810, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 811, [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.87/1.29 ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 0.87/1.29 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 812, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ) ] )
% 0.87/1.29 , clause( 813, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ), 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ] )
% 0.87/1.29 , clause( 814, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 815, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 816, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 0.87/1.29 , clause( 817, [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), Y ) ) ] )
% 0.87/1.29 , clause( 818, [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X
% 0.87/1.29 , 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ] )
% 0.87/1.29 , clause( 819, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.29 , X ) ) ), =( Y, Z ) ] )
% 0.87/1.29 , clause( 820, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.29 , X ) ) ), =( Y, Z ) ] )
% 0.87/1.29 , clause( 821, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.87/1.29 ) ) ) ), =( X, Z ) ] )
% 0.87/1.29 , clause( 822, [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.87/1.29 , clause( 823, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) ) ] )
% 0.87/1.29 , clause( 824, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ),
% 0.87/1.29 T ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( Z ), T ), Y ) ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 825, [ =( X, Y ), ~( 'c_Map_Omap__le'( Y, X, Z, T ) ), ~(
% 0.87/1.29 'c_Map_Omap__le'( X, Y, Z, T ) ) ] )
% 0.87/1.29 , clause( 826, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 0.87/1.29 , clause( 827, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 828, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 829, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T
% 0.87/1.29 , U, W, Z ) ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple__valid'( W, hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), T ), X ), 't_a' ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 830, [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 0.87/1.29 'tc_bool' ) ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ] )
% 0.87/1.29 , clause( 831, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), =( Y, Z ) ] )
% 0.87/1.29 , clause( 832, [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.87/1.29 'c_in'( X, T, Y ) ) ] )
% 0.87/1.29 , clause( 833, [ ~( =( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y ), Z ), T ), hAPP( hAPP(
% 0.87/1.29 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), U ), W ), V0 ) ) ), =( Y
% 0.87/1.29 , U ) ] )
% 0.87/1.29 , clause( 834, [ ~( =( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y ), Z ), T ), hAPP( hAPP(
% 0.87/1.29 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), U ), W ), V0 ) ) ), =( Z
% 0.87/1.29 , W ) ] )
% 0.87/1.29 , clause( 835, [ ~( =( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y ), Z ), T ), hAPP( hAPP(
% 0.87/1.29 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), U ), W ), V0 ) ) ), =( T
% 0.87/1.29 , V0 ) ] )
% 0.87/1.29 , clause( 836, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.87/1.29 , clause( 837, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.87/1.29 , 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( X, Y ) ) ] )
% 0.87/1.29 , clause( 838, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.87/1.29 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.29 ) ) ] )
% 0.87/1.29 , clause( 839, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ] )
% 0.87/1.29 , clause( 840, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 0.87/1.29 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ] )
% 0.87/1.29 , clause( 841, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 842, [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'(
% 0.87/1.29 X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T ), U, T ), U ) ) ) ] )
% 0.87/1.29 , clause( 843, [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( hAPP( Y, 'v_x' ), X ) ) ] )
% 0.87/1.29 , clause( 844, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 845, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.87/1.29 , clause( 846, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.87/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 847, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 848, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 0.87/1.29 , clause( 849, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL(
% 0.87/1.29 'c_in'( Y, T, X ) ) ) ] )
% 0.87/1.29 , clause( 850, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.87/1.29 , 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.87/1.29 , clause( 851, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 852, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.87/1.29 , clause( 853, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.87/1.29 , clause( 854, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 855, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Z, X ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 856, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.87/1.29 , 'tc_bool' ) ), Z ) ) ] )
% 0.87/1.29 , clause( 857, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.87/1.29 , 'tc_bool' ) ), T ) ) ] )
% 0.87/1.29 , clause( 858, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 0.87/1.29 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 859, [ hBOOL( 'c_in'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.87/1.29 , clause( 860, [ hBOOL( 'c_in'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ] )
% 0.87/1.29 , clause( 861, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 0.87/1.29 , clause( 862, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 0.87/1.29 , clause( 863, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.29 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.87/1.29 'c_in'( X, Y, Z ) ) ) ] )
% 0.87/1.29 , clause( 864, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 0.87/1.29 , clause( 865, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 0.87/1.29 , clause( 866, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 867, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.29 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.87/1.29 , clause( 868, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.87/1.29 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.87/1.29 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 0.87/1.29 , clause( 869, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.29 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 870, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~(
% 0.87/1.29 hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.87/1.29 , clause( 871, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~(
% 0.87/1.29 hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.87/1.29 , clause( 872, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 873, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 874, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.87/1.29 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 875, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 876, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ] )
% 0.87/1.29 , clause( 877, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.29 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.87/1.29 , clause( 878, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 879, [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T )
% 0.87/1.29 , 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.87/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.87/1.29 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 880, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 881, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_SetInterval_Oord__class_OgreaterThan'(
% 0.87/1.29 Y, X ), 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'(
% 0.87/1.29 Y, X ) ) ] )
% 0.87/1.29 , clause( 882, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 'c_Set_Ovimage'( Y, X, T, U ), Z ) ) ) ] )
% 0.87/1.29 , clause( 883, [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~(
% 0.87/1.29 hBOOL( hAPP( Y, hAPP( X, U ) ) ) ) ] )
% 0.87/1.29 , clause( 884, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 0.87/1.29 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 885, [ hBOOL( 'c_in'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( hBOOL( 'c_in'(
% 0.87/1.29 X, Y, T ) ) ) ] )
% 0.87/1.29 , clause( 886, [ hBOOL( 'c_in'( X,
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~( hBOOL( 'c_in'(
% 0.87/1.29 X, Y, T ) ) ) ] )
% 0.87/1.29 , clause( 887, [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~(
% 0.87/1.29 hBOOL( hAPP( X, T ) ) ) ] )
% 0.87/1.29 , clause( 888, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.29 =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.29 , X ), X ), X ) ) ] )
% 0.87/1.29 , clause( 889, [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.29 'c_in'( X, T, Y ) ) ) ] )
% 0.87/1.29 , clause( 890, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 891, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 , 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 892, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 893, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 0.87/1.29 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 894, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.29 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.29 Z, X ) ) ) ] )
% 0.87/1.29 , clause( 895, [ 'c_Com_OWT'( hAPP( 'c_Com_Ocom_OBODY', X ) ), =( hAPP(
% 0.87/1.29 'c_Com_Obody', X ), 'c_Option_Ooption_ONone'( 'tc_Com_Ocom' ) ) ] )
% 0.87/1.29 , clause( 896, [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP(
% 0.87/1.29 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.87/1.29 'c_Com_Ocom_OBODY', T ) ), U ), Y ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.87/1.29 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ) ) ] )
% 0.87/1.29 , clause( 897, [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.87/1.29 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.87/1.29 , T ) ), U ), Y ) ) ] )
% 0.87/1.29 , clause( 898, [ =( hAPP( 'c_Option_Othe'( X ), 'c_Option_Ooption_OSome'( Y
% 0.87/1.29 , X ) ), Y ) ] )
% 0.87/1.29 , clause( 899, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.29 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), hAPP( Z, T )
% 0.87/1.29 ), hAPP( 'c_Com_Ocom_OBODY', T ) ), hAPP( U, T ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~( hBOOL(
% 0.87/1.29 'c_in'( T, W, 'tc_Com_Opname' ) ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.29 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.29 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ) ), W, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.87/1.29 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.87/1.29 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.87/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U
% 0.87/1.29 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.29 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W, 'tc_Com_Opname',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.87/1.29 , clause( 900, [ 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), X ), Y ), Z ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29 , 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), X ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29 , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) )
% 0.87/1.29 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29 , 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', Y ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ] )
% 0.87/1.29 , clause( 901, [ ~( =( hAPP( 'c_Com_Obody', X ), 'c_Option_Ooption_OSome'(
% 0.87/1.29 Y, 'tc_Com_Ocom' ) ) ), ~( 'c_Com_OWT__bodies' ), 'c_Com_OWT'( Y ) ] )
% 0.87/1.29 , clause( 902, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ),
% 0.87/1.29 X ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.87/1.29 , clause( 903, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 0.87/1.29 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 904, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 0.87/1.29 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 0.87/1.29 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 905, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.29 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.29 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.87/1.29 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.87/1.29 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ) ), U, 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.87/1.29 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.29 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.87/1.29 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.87/1.29 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.87/1.29 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.87/1.29 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.87/1.29 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.87/1.29 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.87/1.29 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U, 'tc_Com_Opname',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.87/1.29 , clause( 906, [ 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' )
% 0.87/1.29 , hAPP( 'c_Com_Obody', X ) ), Y,
% 0.87/1.29 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( X, Z, Y, T ), T ),
% 0.87/1.29 ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z, T ) ) ] )
% 0.87/1.29 , clause( 907, [ 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y,
% 0.87/1.29 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'(
% 0.87/1.29 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ), Y, Z, T ) ) ] )
% 0.87/1.29 , clause( 908, [ ~( 'class_Orderings_Obot'( X ) ),
% 0.87/1.29 'c_Orderings_Obot__axioms'( 'c_lessequals'( X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ), X ) ] )
% 0.87/1.29 , clause( 909, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 910, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.29 , clause( 911, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 912, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.29 , clause( 913, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 914, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 915, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 916, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), hAPP( Z,
% 0.87/1.29 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Z, T, Y, X ) ) ), hAPP(
% 0.87/1.29 T, 'c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1'( Z, T, Y, X ) ) ) ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 917, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), hAPP( Z,
% 0.87/1.29 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Z, T, Y, X ) ) ),
% 0.87/1.29 hAPP( T, 'c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1'( Z, T, Y, X
% 0.87/1.29 ) ) ) ) ) ] )
% 0.87/1.29 , clause( 918, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeast'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 919, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeast'( Z, X )
% 0.87/1.29 ), 'c_SetInterval_Oord__class_OatLeast'( Y, X ) ) ) ) ] )
% 0.87/1.29 , clause( 920, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.29 , clause( 921, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.29 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ] )
% 0.87/1.29 , clause( 922, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.29 ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ] )
% 0.87/1.29 , clause( 923, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), T ), Y ) ) ) ] )
% 0.87/1.29 , clause( 924, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 925, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatMost'( Y, X ) )
% 0.87/1.29 , 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ) ) ] )
% 0.87/1.29 , clause( 926, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 927, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Z,
% 0.87/1.29 X ) ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ] )
% 0.87/1.29 , clause( 928, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 929, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X )
% 0.87/1.29 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ] )
% 0.87/1.29 , clause( 930, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ) ) ) ) ] )
% 0.87/1.29 , clause( 931, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ) ),
% 0.87/1.29 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ) ) ) ) ] )
% 0.87/1.29 , clause( 932, [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.29 , clause( 933, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.29 =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 934, [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.87/1.29 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 0.87/1.29 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 0.87/1.29 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ] )
% 0.87/1.29 , clause( 935, [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 936, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ) ) ) ) ] )
% 0.87/1.29 , clause( 937, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 0.87/1.29 , clause( 938, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 939, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Set_Oimage'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 0.87/1.29 , T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) ),
% 0.87/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( Y, Z, U, X
% 0.87/1.29 ), 'c_Set_Oimage'( Y, T, U, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 0.87/1.29 , clause( 940, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Set_Oimage'( Y, 'c_Set_Ovimage'( Y, Z, T, X ), T, X ) ), Z ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 941, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( Y, Z, T, X, U
% 0.87/1.29 ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( U, 'tc_bool'
% 0.87/1.29 ) ), Z ), 'c_Set_Oimage'( T, Y, X, U ) ) ) ) ] )
% 0.87/1.29 , clause( 942, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_Set_Oimage'( Z, T, U
% 0.87/1.29 , Y ) ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 0.87/1.29 , clause( 943, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y
% 0.87/1.29 , U, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), 'c_Set_Oimage'( X, U, W, T ) ), Z ) ) ) ] )
% 0.87/1.29 , clause( 944, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( Y, Z, T, X ),
% 0.87/1.29 'c_Set_Oimage'( Y, U, T, X ), 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.29 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_fun'( T,
% 0.87/1.29 'tc_bool' ) ), T, X ) ) ) ] )
% 0.87/1.29 , clause( 945, [ =( X, 'c_Set_Oimage'( Y,
% 0.87/1.29 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( Z, X, Y, T, U ), T
% 0.87/1.29 , U ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.29 , X ), 'c_Set_Oimage'( Y, Z, T, U ) ) ) ) ] )
% 0.87/1.29 , clause( 946, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Map_Odom'( Y, X, Z ) ), 'c_Map_Odom'( T, X, Z ) ) ), ~(
% 0.87/1.29 'c_Map_Omap__le'( Y, T, X, Z ) ) ] )
% 0.87/1.29 , clause( 947, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.29 hAPP( 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29 , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 0.87/1.29 ~( 'c_Com_OWT'( Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.29 'c_Set_Oinsert'( hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP(
% 0.87/1.29 'c_Com_Ocom_OBODY', 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ) ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.87/1.29 , clause( 948, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.29 hAPP( 'c_Hoare__Mirabelle_OMGT', Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29 , 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 0.87/1.29 ~( 'c_Com_OWT'( Y ) ), hBOOL( 'c_in'(
% 0.87/1.29 'v_sko__Hoare__Mirabelle__XMGF__lemma1__1'( X ), 'c_Map_Odom'(
% 0.87/1.29 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.87/1.29 , clause( 949, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y
% 0.87/1.29 , Z, 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ] )
% 0.87/1.29 , clause( 950, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y
% 0.87/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 0.87/1.29 , clause( 951, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.29 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.87/1.29 'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.87/1.29 , T ) ), U ), X, 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Set_Oinsert'(
% 0.87/1.29 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.87/1.29 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.87/1.29 , clause( 952, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.29 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.87/1.29 'c_Com_Ocom_OBODY', T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.87/1.29 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.87/1.29 , clause( 953, [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody',
% 0.87/1.29 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ] )
% 0.87/1.29 , clause( 954, [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP(
% 0.87/1.29 'c_Com_Ocom_OBODY', X ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.87/1.29 'c_Com_Obody', X ) ) ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 955, [ hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP(
% 0.87/1.29 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z )
% 0.87/1.29 ), ~( hBOOL( hAPP( hAPP( 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X
% 0.87/1.29 ) ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 956, [ 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'c_Set_Oinsert'( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ),
% 0.87/1.29 ~( 'c_Com_OWT'( X ) ), ~( 'c_Com_OWT__bodies' ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.87/1.29 , clause( 957, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.87/1.29 'tc_Com_Ostate' ), ~( 'c_Finite__Set_Ofinite'( Y, 'tc_Com_Opname' ) ),
% 0.87/1.29 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 0.87/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.87/1.29 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 0.87/1.29 , 'c_Set_Oimage'( 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'(
% 0.87/1.29 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'(
% 0.87/1.29 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ), Y,
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.87/1.29 'tc_Com_Ostate' ) ) ] )
% 0.87/1.29 , clause( 958, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.29 hAPP( 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Com_Ocom_OBODY', Y ) ), X,
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'c_Set_Oinsert'( hAPP(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.87/1.29 'c_Com_Obody', Y ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Ostate' ) ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 959, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.29 Z ), Y ) ) ] )
% 0.87/1.29 , clause( 960, [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.29 T, 'tc_bool' ) ), 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X
% 0.87/1.29 , T ) ) ) ] )
% 0.87/1.29 , clause( 961, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ),
% 0.87/1.29 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U
% 0.87/1.29 ) ) ) ] )
% 0.87/1.29 , clause( 962, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 963, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.87/1.29 , 'tc_bool' ) ), Y ), T ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X
% 0.87/1.29 , T, Z ) ) ] )
% 0.87/1.29 , clause( 964, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 T, Y ) ) ) ] )
% 0.87/1.29 , clause( 965, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Y ) ) ] )
% 0.87/1.29 , clause( 966, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Y ) ) ] )
% 0.87/1.29 , clause( 967, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 0.87/1.29 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 968, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.87/1.29 , 'tc_bool' ) ), T ), X ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( T
% 0.87/1.29 , Y, Z ) ) ] )
% 0.87/1.29 , clause( 969, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 970, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Y ) ) ] )
% 0.87/1.29 , clause( 971, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), Y ), Y ) ) ] )
% 0.87/1.29 , clause( 972, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.29 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 973, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.29 ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 974, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W )
% 0.87/1.29 , 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 0.87/1.29 , clause( 975, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.87/1.29 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 0.87/1.29 , clause( 976, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 0.87/1.29 , clause( 977, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.29 'tc_bool' ) ) ) ) ) ] )
% 0.87/1.29 , clause( 978, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.29 , clause( 979, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 980, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.29 , clause( 981, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.29 , clause( 982, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.29 Z, 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.29 , clause( 983, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.29 X, 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.29 , clause( 984, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), Y ) ] )
% 0.87/1.29 , clause( 985, [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ]
% 0.87/1.29 )
% 0.87/1.29 , clause( 986, [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ] )
% 0.87/1.29 , clause( 987, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 988, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.29 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 989, [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y
% 0.87/1.29 , W ) ) ) ] )
% 0.87/1.29 , clause( 990, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.29 , clause( 991, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.87/1.29 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.87/1.29 , 'tc_bool' ) ), Y ), X ) ) ) ] )
% 0.87/1.29 , clause( 992, [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP(
% 0.87/1.29 'c_Com_Ocom_OBODY', Y ) ) ), =( X, Y ) ] )
% 0.87/1.29 , clause( 993, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.29 ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.29 'tc_bool' ) ), Z, X ) ) ] )
% 0.87/1.29 , clause( 994, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_lessequals'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_lessequals'( 'tc_fun'( U, X ) ), Y ), T ) ) ) ] )
% 0.87/1.29 , clause( 995, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.87/1.29 , clause( 996, [ 'c_Com_OWT__bodies' ] )
% 0.87/1.29 , clause( 997, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'c_Set_Oimage'( 'c_COMBB'(
% 0.87/1.29 'c_Hoare__Mirabelle_OMGT', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ),
% 0.87/1.29 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 0.87/1.29 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_Com_Opname' ), 'c_Map_Odom'( 'c_Com_Obody',
% 0.87/1.29 'tc_Com_Opname', 'tc_Com_Ocom' ), 'tc_Com_Opname',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ) ) ] )
% 0.87/1.29 , clause( 998, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ),
% 0.87/1.29 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Com_Ostate' ) ) ] )
% 0.87/1.29 , clause( 999, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X
% 0.87/1.29 , Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 0.87/1.29 , clause( 1000, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) )
% 0.87/1.29 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.87/1.29 , clause( 1001, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) )
% 0.87/1.29 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.87/1.29 , clause( 1002, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ),
% 0.87/1.29 ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 0.87/1.29 , clause( 1003, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ),
% 0.87/1.29 ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 0.87/1.29 , clause( 1004, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ),
% 0.87/1.29 ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 0.87/1.29 , clause( 1005, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ),
% 0.87/1.29 ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.87/1.29 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 0.87/1.29 , clause( 1006, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Orderings_Opreorder'( Y ) ) ] )
% 0.87/1.29 , clause( 1007, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Lattices_Olattice'( Y ) ) ] )
% 0.87/1.29 , clause( 1008, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Orderings_Oorder'( Y ) ) ] )
% 0.87/1.29 , clause( 1009, [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Orderings_Otop'( Y ) ) ] )
% 0.87/1.29 , clause( 1010, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Orderings_Obot'( Y ) ) ] )
% 0.87/1.29 , clause( 1011, [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_HOL_Ouminus'( Y ) ) ] )
% 0.87/1.29 , clause( 1012, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_HOL_Ominus'( Y ) ) ] )
% 0.87/1.29 , clause( 1013, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'(
% 0.87/1.29 Y ) ) ] )
% 0.87/1.29 , clause( 1014, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1015, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1016, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1017, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1018, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1019, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1020, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1021, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1022, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1023, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 0.87/1.29 , clause( 1024, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' )
% 0.87/1.29 ] )
% 0.87/1.29 , clause( 1025, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1026, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1027, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1028, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1029, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1030, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1031, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1032, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1033, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1034, [ 'class_Orderings_Otop'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1035, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1036, [ 'class_HOL_Ouminus'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1037, [ 'class_HOL_Ominus'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1038, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 0.87/1.29 , clause( 1039, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'(
% 0.87/1.29 X ) ), ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 0.87/1.29 , clause( 1040, [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y )
% 0.87/1.29 ) ] )
% 0.87/1.29 , clause( 1041, [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP(
% 0.87/1.29 Y, W ) ) ) ] )
% 0.87/1.29 , clause( 1042, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 0.87/1.29 , clause( 1043, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y
% 0.87/1.29 ) ) ) ] )
% 0.87/1.29 ] ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 451, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), Y ) ] )
% 0.87/1.29 , clause( 984, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), Y ) ] )
% 0.87/1.29 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.29 )] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 resolution(
% 0.87/1.29 clause( 1851, [] )
% 0.87/1.29 , clause( 998, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ),
% 0.87/1.29 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 'tc_Com_Ostate' ), 'tc_bool' ) ), 'tc_Com_Ostate' ) ) ] )
% 0.87/1.29 , 0, clause( 451, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.29 Y ), 'tc_bool' ) ), Y ) ] )
% 0.87/1.29 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Set_Oimage'(
% 0.87/1.29 'c_COMBB'( 'c_Hoare__Mirabelle_OMGT', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 0.87/1.29 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_Com_Opname' ),
% 0.87/1.29 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname', 'tc_Com_Ocom' ),
% 0.87/1.29 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ) ),
% 0.87/1.29 :=( Y, 'tc_Com_Ostate' )] )).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 subsumption(
% 0.87/1.29 clause( 462, [] )
% 0.87/1.29 , clause( 1851, [] )
% 0.87/1.29 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 end.
% 0.87/1.29
% 0.87/1.29 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.29
% 0.87/1.29 Memory use:
% 0.87/1.29
% 0.87/1.29 space for terms: 35449
% 0.87/1.29 space for clauses: 56677
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 clauses generated: 535
% 0.87/1.29 clauses kept: 463
% 0.87/1.29 clauses selected: 0
% 0.87/1.29 clauses deleted: 0
% 0.87/1.29 clauses inuse deleted: 0
% 0.87/1.29
% 0.87/1.29 subsentry: 5108
% 0.87/1.29 literals s-matched: 3189
% 0.87/1.29 literals matched: 3075
% 0.87/1.29 full subsumption: 1327
% 0.87/1.29
% 0.87/1.29 checksum: -1060733328
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Bliksem ended
%------------------------------------------------------------------------------