TSTP Solution File: SCT091-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT091-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:01:09 EDT 2022
% Result : Timeout 300.05s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT091-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 2 09:39:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.02/1.42 *** allocated 10000 integers for termspace/termends
% 1.02/1.42 *** allocated 10000 integers for clauses
% 1.02/1.42 *** allocated 10000 integers for justifications
% 1.02/1.42 *** allocated 15000 integers for termspace/termends
% 1.02/1.42 *** allocated 22500 integers for termspace/termends
% 1.02/1.42 *** allocated 33750 integers for termspace/termends
% 1.02/1.42 Bliksem 1.12
% 1.02/1.42
% 1.02/1.42
% 1.02/1.42 Automatic Strategy Selection
% 1.02/1.42
% 1.02/1.42 Clauses:
% 1.02/1.42 [
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.02/1.42 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.02/1.42 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 X ), Y ), Z ) ), T ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.02/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.02/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 X ), Y ), Z ) ), T ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), X ) ],
% 1.02/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.02/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.42 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.02/1.42 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 1.02/1.42 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.02/1.42 Z, 'tc_nat' ) ) ],
% 1.02/1.42 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 1.02/1.42 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.02/1.42 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.02/1.42 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.02/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.02/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.42 ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.02/1.42 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.02/1.42 ) ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y,
% 1.02/1.42 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.02/1.42 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.42 ) ],
% 1.02/1.42 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.02/1.42 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ) ) ],
% 1.02/1.42 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 1.02/1.42 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.02/1.42 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.02/1.42 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.02/1.42 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.02/1.42 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.02/1.42 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ) ) ],
% 1.02/1.42 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.02/1.42 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.02/1.42 X, T ), Y ) ) ) ],
% 1.02/1.42 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 1.02/1.42 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 1.02/1.42 , Z, T ), Z ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.02/1.42 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.02/1.42 ) ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.02/1.42 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.02/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.02/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.02/1.42 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 1.02/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 1.02/1.42 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.02/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ), X ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.42 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.02/1.42 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.02/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.42 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.02/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.42 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.02/1.42 'c_Set_Oinsert'( Z, X, Y ), Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 1.02/1.42 X, Y ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.42 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.02/1.42 X ), Y ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.42 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.02/1.42 X ), Y ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.02/1.42 , Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.42 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.02/1.42 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.02/1.42 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ), ~(
% 1.02/1.42 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.02/1.42 , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), 'c_Power_Opower__class_Opower'( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) ), hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 1.02/1.42 ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.02/1.42 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.02/1.42 ) ), Y ) ) ) ],
% 1.02/1.42 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_in'( X ), Y ), T ) ) ), ~( =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.02/1.42 X, 'tc_bool' ) ), Y ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.02/1.42 'tc_bool' ) ), X ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.02/1.42 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.02/1.42 ), Y ) ) ],
% 1.02/1.42 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.02/1.42 , X ), Y ), 'tc_nat' ) ],
% 1.02/1.42 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.02/1.42 , Y ), X ), 'tc_nat' ) ],
% 1.02/1.42 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.02/1.42 , X ), Y ), 'tc_nat' ) ],
% 1.02/1.42 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.02/1.42 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.02/1.42 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.02/1.42 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.02/1.42 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.02/1.42 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.02/1.42 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 1.02/1.42 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.02/1.42 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.02/1.42 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.02/1.42 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.02/1.42 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.02/1.42 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.02/1.42 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.02/1.42 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.02/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) ) ) ) ],
% 1.02/1.42 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.02/1.42 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.02/1.42 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.02/1.42 'c_lessequals'( Y, Z, X ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.02/1.42 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.02/1.42 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 1.02/1.42 ) ],
% 1.02/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.02/1.42 ],
% 1.02/1.42 [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.02/1.42 Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.02/1.42 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.02/1.42 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.02/1.42 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.42 ), Y ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.02/1.42 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.02/1.42 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.02/1.42 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.02/1.42 ), 'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.02/1.42 Y ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 1.02/1.42 ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 1.02/1.42 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 1.02/1.42 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.02/1.42 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.02/1.42 'tc_bool' ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.02/1.42 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.42 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 Z, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.42 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 T, Z, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.02/1.42 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.42 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 Z, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.42 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 T, Z, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.02/1.42 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.02/1.42 'c_HOL_Oone__class_Oone'( X ) ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.02/1.42 'c_HOL_Oone__class_Oone'( X ) ) ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.02/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.42 T, Z, X ) ) ), =( Y, T ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) ) ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.42 ],
% 1.02/1.42 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.02/1.42 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) )
% 1.02/1.42 ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.02/1.42 'tc_bool' ) ), Y ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.02/1.42 'tc_bool' ) ), Y ) ) ) ],
% 1.02/1.42 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 1.02/1.42 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 1.02/1.42 Z, T ), T ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.02/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.02/1.42 Y ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.02/1.42 Y ) ],
% 1.02/1.42 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.02/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.02/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.42 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 Y ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.02/1.42 Y ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 Y ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 Y ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.02/1.42 Y ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.02/1.42 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.02/1.42 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 1.02/1.42 Y ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ), Y ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ), Y ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ), Y ) ],
% 1.02/1.42 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.02/1.42 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 1.02/1.42 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_nat' ) ), Y ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_nat' ) ), X ) ) ) ],
% 1.02/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.02/1.42 ) ],
% 1.02/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.02/1.42 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.02/1.42 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.02/1.42 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.02/1.42 Z ) ) ), =( Y, Z ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.42 T, X ) ), 'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.02/1.42 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.02/1.42 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.02/1.42 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.02/1.42 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.02/1.42 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.02/1.42 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.02/1.42 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.02/1.42 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.02/1.42 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.42 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.02/1.42 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 1.02/1.42 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.02/1.42 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.02/1.42 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.02/1.42 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 1.02/1.42 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.02/1.42 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.02/1.42 'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ),
% 1.02/1.42 Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.02/1.42 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.02/1.42 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.02/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ),
% 1.02/1.42 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.02/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.02/1.42 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.42 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.02/1.42 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.02/1.42 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.02/1.42 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.02/1.42 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.02/1.42 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.02/1.42 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.42 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.02/1.42 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.42 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ), Y, X ) ],
% 1.02/1.42 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 1.02/1.42 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.02/1.42 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.42 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.02/1.42 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.02/1.42 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.02/1.42 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.02/1.42 ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), Y ) ), Z ) ), Z ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.02/1.42 ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.02/1.42 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.42 'c_Power_Opower__class_Opower'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.42 T, X ) ), 'c_Power_Opower__class_Opower'( Z, T, X ) ) ), =( Z,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.02/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.02/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.02/1.42 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.02/1.42 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.02/1.42 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.02/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.02/1.42 'tc_bool' ) ), X ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.02/1.42 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.02/1.42 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.02/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.02/1.42 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.02/1.42 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.02/1.42 hAPP( X, T ) ) ) ],
% 1.02/1.42 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.02/1.42 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.02/1.42 'tc_bool' ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.02/1.42 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.02/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X
% 1.02/1.42 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.42 'c_Finite__Set_Osetsum'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ),
% 1.02/1.42 'c_Finite__Set_Osetsum'( Y, T, U, X ) ) ), hBOOL( hAPP( hAPP( 'c_in'( U )
% 1.02/1.42 , Z ), T ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 1.02/1.42 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ), X ), X, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 1.02/1.42 ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Z, X ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.42 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 1.02/1.42 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ), X ), X, X ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 1.02/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, X
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.42 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.02/1.42 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.42 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.02/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.02/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.02/1.42 ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.02/1.42 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.02/1.42 ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.02/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.02/1.42 ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.02/1.42 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.02/1.42 ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.02/1.42 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.02/1.42 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.02/1.42 ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.02/1.42 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.02/1.42 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.02/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.02/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.02/1.42 'tc_bool' ) ), Z ) ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 1.02/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 1.02/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.02/1.42 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 1.02/1.42 ), X ), Y ) ), =( Y, T ) ],
% 1.02/1.42 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 1.02/1.42 , X ), Y ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.02/1.42 , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.02/1.42 ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.42 X ), Y ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.02/1.42 , Z ) ), Y ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.02/1.42 , Z ) ), Y ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.02/1.42 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_nat' ) ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), =( X,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.02/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ),
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), T ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.02/1.42 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.02/1.42 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.02/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.02/1.42 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.02/1.42 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.02/1.42 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.02/1.42 ) ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~(
% 1.02/1.42 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.02/1.42 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.02/1.42 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.02/1.42 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ), ~( hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 1.02/1.42 , Y ), U ) ) ) ],
% 1.02/1.42 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.02/1.42 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.02/1.42 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.02/1.42 ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 1.02/1.42 , X, Z ) ) ],
% 1.02/1.42 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.02/1.42 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.02/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.02/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ),
% 1.02/1.42 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) )
% 1.02/1.42 , X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.42 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.42 ), 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.02/1.42 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.02/1.42 ) ), U, Y, X, X ), W, Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.02/1.42 ), 'c_Finite__Set_Osetsum'( T,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( W, Z, 'tc_fun'( Y,
% 1.02/1.42 'tc_bool' ) ), Y, X ) ), 'c_Finite__Set_Osetsum'( U,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( W, hAPP(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.02/1.42 Y, 'tc_bool' ) ), Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( W, Y ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), ~( 'c_lessequals'( U
% 1.02/1.42 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.42 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.02/1.42 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), U ) ) ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 X ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.42 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y, T, X )
% 1.02/1.42 ), 'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.02/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 1.02/1.42 ), ~( 'c_lessequals'( Y, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ), Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.42 Y ) ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.42 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), hBOOL( hAPP( hAPP(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.42 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( 'c_lessequals'( Y, hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), hBOOL( hAPP(
% 1.02/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.43 ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.43 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.43 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X
% 1.02/1.43 ) ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), ~(
% 1.02/1.43 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.43 ), ~( 'c_lessequals'( hAPP( Y,
% 1.02/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonpos__1__1'( Z, Y, T, X ) )
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.02/1.43 'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'(
% 1.02/1.43 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 1.02/1.43 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.43 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.43 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z )
% 1.02/1.43 , T ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 1.02/1.43 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.43 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.43 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.02/1.43 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetprod'( Y, Z, T, X ),
% 1.02/1.43 X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Y,
% 1.02/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__nonneg__1__1'( Z, Y, T, X ) )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 Y, 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1'( Z, Y, T, X ) )
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.02/1.43 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.02/1.43 X, X ), Z, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.02/1.43 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), =( hAPP( Y,
% 1.02/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1'( Z, Y, T, X
% 1.02/1.43 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 1.02/1.43 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Z, Y, T, X ),
% 1.02/1.43 X, X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.02/1.43 'c_Pair'( Y, T, X, X ) ), 'c_Transitive__Closure_Otrancl'( Z, X ) ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 1.02/1.43 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, Z, T, X )
% 1.02/1.43 , T, X, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.02/1.43 'c_Pair'( Z, T, X, X ) ), 'c_Transitive__Closure_Otrancl'( Y, X ) ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.02/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.02/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 X ), Y ), Y ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 T ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.02/1.43 ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.43 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 X ), Y ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( 'c_lessequals'( Z, U, X
% 1.02/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.43 Z, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_nat' ) ), Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.43 Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), =( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.02/1.43 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.02/1.43 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.02/1.43 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ),
% 1.02/1.43 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X,
% 1.02/1.43 X, Z ), T, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 1.02/1.43 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.02/1.43 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.02/1.43 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 1.02/1.43 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.02/1.43 'tc_bool' ) ), X ), X, Y ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, Z, X ) ), Y
% 1.02/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 1.02/1.43 'c_Wellfounded_Owf'( Z, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, Z, X ) ), Y ) ),
% 1.02/1.43 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( 'c_Wellfounded_Owf'(
% 1.02/1.43 Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.02/1.43 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.43 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 1.02/1.43 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( Y, Z, T, X, U ) ), Y ) ),
% 1.02/1.43 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Relation_OImage'( T, Y, X, U )
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( Y, Z, T, X, U ) ), Y )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Relation_OImage'( T, Y, X
% 1.02/1.43 , U ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.02/1.43 , 'tc_bool' ) ), Z, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.43 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.02/1.43 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.02/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.02/1.43 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.02/1.43 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.02/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.02/1.43 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.02/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 1.02/1.43 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 1.02/1.43 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 'c_Wellfounded_Oacc'( Z, T ) ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.02/1.43 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( Z, 't_a' ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, Z ) )
% 1.02/1.43 , 'c_Wellfounded_Oacc'( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y
% 1.02/1.43 ), 'c_Wellfounded_Oacc'( T, Z ) ) ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( Y, Z, X ) ),
% 1.02/1.43 'c_Wellfounded_Oacc'( Y, X ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 1.02/1.43 'c_Wellfounded_Oacc'( Y, X ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 1.02/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 'c_Wellfounded_Oacc'( Z, T
% 1.02/1.43 ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.02/1.43 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( Z, 't_a' ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Z, Y, X ) ),
% 1.02/1.43 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, Z ) ),
% 1.02/1.43 'c_Wellfounded_Oacc'( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y )
% 1.02/1.43 , 'c_Wellfounded_Oacc'( T, Z ) ) ) ) ],
% 1.02/1.43 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 1.02/1.43 Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.02/1.43 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.02/1.43 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ), X ) ],
% 1.02/1.43 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.02/1.43 ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.02/1.43 [ =( 'c_Relation_ODomain'( 'c_Relation_OId'( X ), X, X ),
% 1.02/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.02/1.43 [ =( 'c_Relation_ORange'( 'c_Relation_OId'( X ), X, X ),
% 1.02/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.02/1.43 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.02/1.43 'tc_bool' ) ), 'c_Relation_OId'( X ), X ) ],
% 1.02/1.43 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 1.02/1.43 'tc_bool' ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), ~(
% 1.02/1.43 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.43 ), hBOOL( hAPP( hAPP( 'c_in'( T ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonpos__1__1'( Z, Y, T, X ) )
% 1.02/1.43 , Z ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'(
% 1.02/1.43 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.02/1.43 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.43 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), T ), Z ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetprod'( Y, Z, T, X ),
% 1.02/1.43 X ), hBOOL( hAPP( hAPP( 'c_in'( T ),
% 1.02/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__nonneg__1__1'( Z, Y, T, X ) )
% 1.02/1.43 , Z ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.43 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.43 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, Z, T, X ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 1.02/1.43 ), 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1'( Z, Y, T, X )
% 1.02/1.43 ), Z ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.02/1.43 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.02/1.43 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.02/1.43 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X )
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.02/1.43 Y, X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_nat' ) ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), hBOOL( hAPP( hAPP( 'c_in'( T )
% 1.02/1.43 , 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1'( Z, Y, T,
% 1.02/1.43 X ) ), Z ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Z, T, X ), X, X ) ),
% 1.02/1.43 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z ) ) ), ~(
% 1.02/1.43 'c_Wellfounded_Owf'( T, X ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Z, T, X ), X,
% 1.02/1.43 X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z ) ) ), ~(
% 1.02/1.43 'c_Wellfounded_Owf'( T, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( Z, T, U, X, Y ), T, X, Y )
% 1.02/1.43 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 1.02/1.43 , Z, X, Y ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( Z, T, U, X, Y ), T, X
% 1.02/1.43 , Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ),
% 1.02/1.43 'c_Relation_OImage'( U, Z, X, Y ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( 'c_COMBS'( 'c_COMBB'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z,
% 1.02/1.43 X, X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, U, Z, X ) ), 'c_Finite__Set_Osetprod'( T, U
% 1.02/1.43 , Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z,
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( Z, T, X, Y ), X, Y ) ), T
% 1.02/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), 'c_Relation_ODomain'( T, X
% 1.02/1.43 , Y ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z,
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( Z, T, X, Y ), X, Y )
% 1.02/1.43 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), 'c_Relation_ODomain'(
% 1.02/1.43 T, X, Y ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( Y, Z, X ), Z, X
% 1.02/1.43 , X ) ), Y ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), 'c_Wellfounded_Oacc'(
% 1.02/1.43 Y, X ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( Z,
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, U, T ), T
% 1.02/1.43 , T ) ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 1.02/1.43 'c_Wellfounded_Oacc'( U, T ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 1.02/1.43 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ) ), T ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 1.02/1.43 't_a' ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.02/1.43 , hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Z, Y, X ), Y, X,
% 1.02/1.43 X ) ), Z ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Z ),
% 1.02/1.43 'c_Wellfounded_Oacc'( T, 't_a' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.02/1.43 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 1.02/1.43 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ) ), T ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 1.02/1.43 't_a' ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 1.02/1.43 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ) ), T ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 1.02/1.43 't_a' ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Z ),
% 1.02/1.43 'c_Wellfounded_Oacc'( T, 't_a' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.02/1.43 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 1.02/1.43 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ) ), T ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 1.02/1.43 't_a' ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( Z,
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, U, T ), T, T )
% 1.02/1.43 ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 'c_Wellfounded_Oacc'(
% 1.02/1.43 U, T ) ) ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X,
% 1.02/1.43 X ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~(
% 1.02/1.43 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Z, Y, X, X ), T,
% 1.02/1.43 'tc_prod'( X, X ) ), X ) ) ],
% 1.02/1.43 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 1.02/1.43 'tc_prod'( Z, Z ) ), Z ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) )
% 1.02/1.43 , 'c_Pair'( Y, X, Z, Z ) ), 'c_Transitive__Closure_Ortrancl'( T, Z ) ) )
% 1.02/1.43 , ~( 'c_Wellfounded_Owf'( T, Z ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( Z, T, Y, X ), Z, X, Y ) )
% 1.02/1.43 , T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), 'c_Relation_ORange'( T,
% 1.02/1.43 X, Y ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( Z, T, Y, X ), Z, X, Y
% 1.02/1.43 ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), 'c_Relation_ORange'(
% 1.02/1.43 T, X, Y ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 1.02/1.43 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Z, Y, T, X )
% 1.02/1.43 , X, X ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( Z, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 1.02/1.43 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, Z, T, X ),
% 1.02/1.43 T, X, X ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, T, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( Y, X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.43 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.02/1.43 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ), U, Y, X, X ), W
% 1.02/1.43 , Y, X ), 'c_Power_Opower__class_Opower'( U, 'c_Finite__Set_Ocard'( W, Y
% 1.02/1.43 ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), W ) ), ~(
% 1.02/1.43 'c_Finite__Set_Ofinite'( W, Y ) ) ],
% 1.02/1.43 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( Y,
% 1.02/1.43 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 1.02/1.43 , Y ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 1.02/1.43 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.02/1.43 ), =( X, Y ) ],
% 1.02/1.43 [ =( 'c_Set_Ovimage'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( X )
% 1.02/1.43 , 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.02/1.43 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.02/1.43 ) ), U, Y, X, X ), W, Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U )
% 1.02/1.43 , W ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) ) ],
% 1.02/1.43 [ =( 'c_Set_Ovimage'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( X )
% 1.02/1.43 , 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.02/1.43 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.02/1.43 ) ), U, Y, X, X ), W, Y, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.02/1.43 Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), ~(
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) ) ) ],
% 1.02/1.43 [ =( 'c_Set_Ovimage'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( X )
% 1.02/1.43 , 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.02/1.43 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.02/1.43 ) ), U, Y, X, X ), W, Y, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.02/1.43 Y, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), U ), W ) ), hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( X ), T ), W ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'(
% 1.02/1.43 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), X,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.02/1.43 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_Lab____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lba____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.02/1.43 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ), 'c_Finite__Set_Osetsum'(
% 1.02/1.43 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X ), 'c_COMBC'( 'c_in'( U )
% 1.02/1.43 , T, U, 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), 'tc_bool', 'tc_fun'( X,
% 1.02/1.43 'tc_fun'( X, X ) ), U ), Y, U, X, 'tc_fun'( X, X ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), U, X, X ), Z, U, X ) ), ~(
% 1.02/1.43 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( 'c_COMBC'( 'c_COMBC'(
% 1.02/1.43 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.02/1.43 ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi' ), hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.02/1.43 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_Lab____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lba____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.02/1.43 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.02/1.43 ), =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.02/1.43 Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.02/1.43 Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.02/1.43 ), =( Z, Y ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( 'c_lessequals'(
% 1.02/1.43 Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z, X )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ),
% 1.02/1.43 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( 'c_lessequals'( Z, Y, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( T, X, X ), X
% 1.02/1.43 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z
% 1.02/1.43 , X, X ) ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( T, X
% 1.02/1.43 ), X, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( T, X ), X, X
% 1.02/1.43 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z
% 1.02/1.43 , X, X ) ), 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( T, X
% 1.02/1.43 , X ), X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), U ) ) ), ~(
% 1.02/1.43 'c_lessequals'( hAPP( T, Y ), hAPP( T, Z ), 'tc_nat' ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, X, X ), X )
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, X, X ),
% 1.02/1.43 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z,
% 1.02/1.43 Y, X, X ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), =( Y, Z ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.02/1.43 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.02/1.43 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.02/1.43 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.02/1.43 ), Y ) ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.02/1.43 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), 'c_Wellfounded_Oacc'( Z, X ) )
% 1.02/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T,
% 1.02/1.43 X, X ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 1.02/1.43 ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( X ), T ), 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, X ) )
% 1.02/1.43 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X
% 1.02/1.43 ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 1.02/1.43 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.02/1.43 X, Y, Z, Z ) ), 'c_Transitive__Closure_Ortrancl'( T, Z ) ) ) ), hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( Z ), X ), 'c_Relation_ODomain'( T, Z, Z ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.43 ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X )
% 1.02/1.43 ), Y ), T, Y, X, 'tc_fun'( X, X ) ), 'c_HOL_Oone__class_Oone'( X ), Y, X
% 1.02/1.43 , X ), U, Y, X ), hAPP( T, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z )
% 1.02/1.43 , U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.43 ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X )
% 1.02/1.43 ), Y ), T, Y, X, 'tc_fun'( X, X ) ), 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.02/1.43 , X, X ), U, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( Y ), Z ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.43 ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X )
% 1.02/1.43 ), Y ), T, Y, X, 'tc_fun'( X, X ) ), 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.02/1.43 , X, X ), U, Y, X ), hAPP( T, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z
% 1.02/1.43 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.43 ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X )
% 1.02/1.43 ), Y ), T, Y, X, 'tc_fun'( X, X ) ), 'c_HOL_Oone__class_Oone'( X ), Y, X
% 1.02/1.43 , X ), U, Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( Y ), Z ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.02/1.43 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( W, Z, T, T ) )
% 1.02/1.43 , Y ) ) ) ],
% 1.02/1.43 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( W, Z, T, T ) )
% 1.02/1.43 , Y ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.02/1.43 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.02/1.43 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.02/1.43 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.02/1.43 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.02/1.43 [ ~( =( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X, 'tc_bool' ),
% 1.02/1.43 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X, 'tc_bool' ),
% 1.02/1.43 'tc_bool' ) ) ), =( Y, Z ) ],
% 1.02/1.43 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 1.02/1.43 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.02/1.43 , ~( 'c_Wellfounded_Owf'( Z, X ) ) ],
% 1.02/1.43 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.02/1.43 'c_Relation_Osym'( X, Y ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.02/1.43 , X ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.02/1.43 , X ), X ) ],
% 1.02/1.43 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.02/1.43 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.02/1.43 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.02/1.43 Y, X ) ],
% 1.02/1.43 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 1.02/1.43 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.02/1.43 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.02/1.43 'c_Relation_Osym'( X, Y ) ) ],
% 1.02/1.43 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.02/1.43 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y,
% 1.02/1.43 Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.02/1.43 ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y, Z ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.02/1.43 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 1.02/1.43 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.02/1.43 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 1.02/1.43 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.02/1.43 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 1.02/1.43 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 1.02/1.43 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 1.02/1.43 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 1.02/1.43 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 1.02/1.43 'c_Relation_Osym'( X, Y ) ) ],
% 1.02/1.43 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 1.02/1.43 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.02/1.43 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 1.02/1.43 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 1.02/1.43 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.02/1.43 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 1.02/1.43 Y ) ],
% 1.02/1.43 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.02/1.43 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.02/1.43 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.02/1.43 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.02/1.43 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 1.02/1.43 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 1.02/1.43 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 1.02/1.43 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.02/1.43 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 Z, 'tc_nat' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.02/1.43 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.02/1.43 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.02/1.43 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.02/1.43 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.02/1.43 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 1.02/1.43 X, Y ), X, Y, Y, Y ) ) ],
% 1.02/1.43 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.02/1.43 'c_Relation_Osym'( X, Z ) ) ],
% 1.02/1.43 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.02/1.43 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.02/1.43 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 1.02/1.43 'c_Relation_OId'( X ) ) ],
% 1.02/1.43 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.02/1.43 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.02/1.43 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.02/1.43 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 1.02/1.43 , T, U, V0 ), Z, T, V0 ) ) ],
% 1.02/1.43 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 1.02/1.43 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.02/1.43 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 1.02/1.43 , Y ) ) ],
% 1.02/1.43 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.02/1.43 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 1.02/1.43 'c_Relation_OId__on'( X, Y ) ) ],
% 1.02/1.43 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 1.02/1.43 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 1.02/1.43 , Y ), X, Y ) ],
% 1.02/1.43 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 1.02/1.43 [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omlex__prod'( X, Y, Z ), Z ), ~(
% 1.02/1.43 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 1.02/1.43 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.02/1.43 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 1.02/1.43 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.02/1.43 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.02/1.43 X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.02/1.43 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 1.02/1.43 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 1.02/1.43 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 1.02/1.43 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.02/1.43 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.02/1.43 'c_Relation_Oantisym'( X, Y ) ) ],
% 1.02/1.43 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 1.02/1.43 Y, Z ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.02/1.43 , Y, 'tc_nat' ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.02/1.43 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.02/1.43 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.02/1.43 Y, Y ) ) ],
% 1.02/1.43 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 1.02/1.43 ],
% 1.02/1.43 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.02/1.43 'c_Relation_ORange'( X, Y, Z ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.43 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.43 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.02/1.43 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.02/1.43 ) ), =( X, T ) ],
% 1.02/1.43 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.02/1.43 ) ), =( Y, U ) ],
% 1.02/1.43 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 1.02/1.43 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 1.02/1.43 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 1.02/1.43 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 1.02/1.43 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 1.02/1.43 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 1.02/1.43 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 1.02/1.43 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 1.02/1.43 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.02/1.43 X, T, U ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.02/1.43 hAPP( X, U ) ) ) ) ],
% 1.02/1.43 [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omeasure'( X, Y ), Y ) ],
% 1.02/1.43 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 1.02/1.43 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.02/1.43 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.02/1.43 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.02/1.43 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.02/1.43 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T
% 1.02/1.43 , Z, Y, X ) ), 'c_Relation_Oconverse'( U, X, Y ) ) ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X,
% 1.02/1.43 X ) ), Z ) ) ), ~( 'c_Relation_Oirrefl'( Z, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), T ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X,
% 1.02/1.43 X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 1.02/1.43 'c_Pair'( Z, Y, X, X ) ), T ) ) ), ~( 'c_Wellfounded_Owf'( T, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.02/1.43 Y, X, Z, Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z )
% 1.02/1.43 ), 'c_Pair'( X, Y, Z, Z ) ), T ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) )
% 1.02/1.43 ],
% 1.02/1.43 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.02/1.43 Y, X, Z, Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z )
% 1.02/1.43 ), 'c_Pair'( X, Y, Z, Z ) ), T ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) )
% 1.02/1.43 ],
% 1.02/1.43 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.02/1.43 'tc_prod'( T, T ) ), 'c_Pair'( Y, Z, T, T ) ), U ) ) ), ~(
% 1.02/1.43 'c_Equiv__Relations_Ocongruent'( U, X, T, W ) ) ],
% 1.02/1.43 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.02/1.43 X, Y, Z, Z ) ), 'c_Relation_OId__on'( T, Z ) ) ) ) ],
% 1.02/1.43 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 1.02/1.43 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.02/1.43 'tc_prod'( T, T ) ), 'c_Pair'( V0, Z, T, T ) ), Y ) ) ) ],
% 1.02/1.43 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 1.02/1.43 X, Y, Z, Z ) ), 'c_Relation_OId'( Z ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.02/1.43 ), Z ) ), ~( 'c_Nitpick_Orefl_H'( Z, X ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X,
% 1.02/1.43 X ) ), Z ) ) ), ~( 'c_Wellfounded_Owf'( Z, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Relation_Oinv__image'( T, U, W, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( W, W ) ), 'c_Pair'( hAPP( U, Y ), hAPP( U, Z ), W, W )
% 1.02/1.43 ), T ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( hAPP( Y, Z )
% 1.02/1.43 , hAPP( Y, T ), X, X ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 W, W ) ), 'c_Pair'( Z, T, W, W ) ), 'c_Relation_Oinv__image'( U, Y, X, W
% 1.02/1.43 ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 1.02/1.43 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 1.02/1.43 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.02/1.43 ), 'c_Relation_Orel__comp'( U, W, X, V0, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( V0, Y ) ), 'c_Pair'( V1, T, V0, Y ) ), W ) ) ), ~(
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, V0 ) ), 'c_Pair'( Z, V1, X, V0 )
% 1.02/1.43 ), U ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) )
% 1.02/1.43 ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 1.02/1.43 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.02/1.43 ), 'c_Relation_OId'( X ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.02/1.43 ), 'c_Relation_OId'( X ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ),
% 1.02/1.43 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ) ) ), =( X, Y
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.43 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.02/1.43 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X, X ), U, Y, X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U )
% 1.02/1.43 ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.43 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.02/1.43 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ), U, Y, X ), hAPP( T, Z ) ),
% 1.02/1.43 ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~(
% 1.02/1.43 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetprod'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.43 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.02/1.43 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X, X ), U, Y, X ), hAPP( T, Z ) ), ~(
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.02/1.43 U, Y ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X
% 1.02/1.43 ), 'c_COMBC'( 'c_fequal'( Y ), Z, Y, Y, 'tc_bool' ), 'tc_bool', 'tc_fun'(
% 1.02/1.43 X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ), U, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U
% 1.02/1.43 ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( 'c_COMBC'( 'c_COMBC'(
% 1.02/1.43 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.02/1.43 ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi' ), X,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.02/1.43 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_Lab____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lba____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ), ~(
% 1.02/1.43 'c_lessequals'( X, 'v_n____', 'tc_nat' ) ) ],
% 1.02/1.43 [ =( 'c_Set_Ovimage'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( X )
% 1.02/1.43 , 'c_COMBC'( 'c_in'( Y ), Z, Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ),
% 1.02/1.43 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X
% 1.02/1.43 ) ), U, Y, X, X ), W, Y, X ), Z ), hBOOL( hAPP( hAPP( 'c_in'( X ), U ),
% 1.02/1.43 W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.02/1.43 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.02/1.43 Z ), U ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 1.02/1.43 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.02/1.43 Z ), U ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 1.02/1.43 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 1.02/1.43 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 1.02/1.43 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 1.02/1.43 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 1.02/1.43 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 1.02/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 1.02/1.43 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 1.02/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 1.02/1.43 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ),
% 1.02/1.43 'c_Relation_OId__on'( Z, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.02/1.43 ), 'c_Relation_OId__on'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.02/1.43 Y ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 1.02/1.43 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 1.02/1.43 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 1.02/1.43 , X ) ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 1.02/1.43 , X ) ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 1.02/1.43 , T ) ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 1.02/1.43 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 1.02/1.43 , T ) ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( T, Y, U, X ) ),
% 1.02/1.43 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X, T ) ),
% 1.02/1.43 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y
% 1.02/1.43 , X, X ) ), T ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), U )
% 1.02/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 1.02/1.43 'c_Relation_Ototal__on'( U, T, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.02/1.43 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.02/1.43 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 1.02/1.43 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 1.02/1.43 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 1.02/1.43 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.02/1.43 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 1.02/1.43 ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.02/1.43 ), 'c_Wellfounded_Omeasure'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 1.02/1.43 ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( X, Y )
% 1.02/1.43 ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ),
% 1.02/1.43 'c_Pair'( Y, Z, T, T ) ), 'c_Wellfounded_Omeasure'( X, T ) ) ) ) ],
% 1.02/1.43 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_c____',
% 1.02/1.43 'c_List_Olist_OCons'( 'v_d____', 'c_List_Olist_OCons'( 'v_e____',
% 1.02/1.43 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 1.02/1.43 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omktop', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , Z ) ) ), =( X, Y ), =( X, T ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omktop', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.02/1.43 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omktop', Y ), X ) ) ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omktop', Z ), X ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.02/1.43 Y, X ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.02/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.02/1.43 Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omktop', Z ), T ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omkbot', Z ), X ) ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omkbot', Y ), X ) ) ) ) ],
% 1.02/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omkbot', Z ), Y ) ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , Z ) ) ), =( X, Y ), =( Y, T ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , Z ) ) ), =( X, T ), =( Y, T ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.02/1.43 ],
% 1.02/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.02/1.43 ],
% 1.02/1.43 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.02/1.43 , W ) ) ) ],
% 1.02/1.43 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omktop', Z ), Y ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'(
% 1.02/1.43 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_n____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.02/1.43 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_COMBC'(
% 1.02/1.43 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omktop', 'v_P____', 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBS'(
% 1.02/1.43 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_fequal'( 'tc_nat' ), 'v_h____',
% 1.02/1.43 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_n____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.02/1.43 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_COMBC'(
% 1.02/1.43 'c_COMBC'( 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Oabove', 'v_P____',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'v_e____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBC'(
% 1.02/1.43 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omkbot', 'v_P____', 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.02/1.43 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'v_P____' ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'v_F'( T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__CHAINED__1'( X, Y
% 1.02/1.43 , Z, T ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__CHAINED__1'( X, Y
% 1.02/1.43 , Z, T ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.02/1.43 'c_Arrow__Order__Mirabelle_OProf' ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'v_F'( T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__CHAINED__1'( X, Y
% 1.02/1.43 , T, Z ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__CHAINED__1'( X, Y
% 1.02/1.43 , T, Z ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.02/1.43 'c_Arrow__Order__Mirabelle_OProf' ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'v_F'( T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__CHAINED__1'( X, Y
% 1.02/1.43 , Z, T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__CHAINED__1'( X, Y
% 1.02/1.43 , Z, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.02/1.43 'c_Arrow__Order__Mirabelle_OProf' ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'v_F'( T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__CHAINED__1'( X, Y
% 1.02/1.43 , T, Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__CHAINED__1'( X, Y
% 1.02/1.43 , T, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.02/1.43 'c_Arrow__Order__Mirabelle_OProf' ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_P____', X ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', hAPP( 'v_P____', X ) )
% 1.02/1.43 , 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____', X ) ), 'v_c____' ),
% 1.02/1.43 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) ), 'v_e____' ) )
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( =( hAPP( 'v_h____', X ), 'v_n____' ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____',
% 1.02/1.43 X ) ), 'v_c____' ), 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) )
% 1.02/1.43 , 'v_e____' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_P____', X ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_P____', X ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', hAPP( 'v_P____', X ) )
% 1.02/1.43 , 'v_e____' ) ) ) ), =( hAPP( 'v_h____', X ), 'v_n____' ), ~( hBOOL( hAPP(
% 1.02/1.43 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) )
% 1.02/1.43 , 'v_e____' ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_P____', X ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) )
% 1.02/1.43 , 'v_n____' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) ), 'v_e____' ) )
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_P____', X ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', hAPP( 'v_P____', X ) )
% 1.02/1.43 , 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( hAPP(
% 1.02/1.43 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____', X ) ), 'v_c____' ),
% 1.02/1.43 'v_e____' ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.02/1.43 ), hAPP( 'v_h____', X ) ), 'v_n____' ) ) ],
% 1.02/1.43 [ ~( =( hAPP( 'v_h____', X ), 'v_n____' ) ), ~( hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____',
% 1.02/1.43 X ) ), 'v_c____' ), 'v_e____' ) ) ) ), hBOOL( hAPP( hAPP(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), 'v_n____'
% 1.02/1.43 ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_P____', X ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_P____', X ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
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% 1.02/1.43 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ),
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% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
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% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
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% 1.02/1.43 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
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% 1.02/1.43 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat'
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% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_COMBC'(
% 1.02/1.43 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omktop', 'v_P____', 'tc_fun'(
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% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBS'(
% 1.02/1.43 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_fequal'( 'tc_nat' ), 'v_h____',
% 1.02/1.43 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_n____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.02/1.43 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_COMBC'(
% 1.02/1.43 'c_COMBC'( 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Oabove', 'v_P____',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'v_e____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBC'(
% 1.02/1.43 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omkbot', 'v_P____', 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ) ), ~( hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'v_F'( 'v_P____' ) ) ) ) ],
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( 'v_P____' ) ) ), hBOOL(
% 1.02/1.43 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.02/1.43 , 'v_F'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'(
% 1.02/1.43 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_n____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.02/1.43 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_COMBC'(
% 1.02/1.43 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omktop', 'v_P____', 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBS'(
% 1.02/1.43 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'c_COMBC'( 'c_COMBB'( 'c_fequal'( 'tc_nat' ), 'v_h____',
% 1.02/1.43 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_n____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.02/1.43 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'c_COMBC'(
% 1.02/1.43 'c_COMBC'( 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Oabove', 'v_P____',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ) ), 'v_e____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBC'(
% 1.02/1.43 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omkbot', 'v_P____', 'tc_fun'(
% 1.02/1.43 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_e____',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.02/1.43 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.02/1.43 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ) ],
% 1.02/1.43 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.02/1.43 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.02/1.43 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.02/1.43 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.02/1.43 'class_Lattices_Olattice'( Y ) ) ],
% 1.02/1.43 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.02/1.43 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.02/1.43 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.02/1.43 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.02/1.43 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.02/1.43 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.02/1.43 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.02/1.43 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.02/1.43 'class_Orderings_Opreorder'( Y ) ) ],
% 1.02/1.43 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.02/1.43 'class_Lattices_Olattice'( Y ) ) ],
% 1.02/1.43 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.02/1.43 'class_Orderings_Oorder'( Y ) ) ],
% 1.02/1.43 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.02/1.43 Y ) ) ],
% 1.02/1.43 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.02/1.43 Y ) ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.02/1.43 ],
% 1.02/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.02/1.43 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.02/1.43 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.02/1.43 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.02/1.43 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.02/1.43 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.02/1.43 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.02/1.43 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.02/1.43 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.02/1.43 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.02/1.43 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.02/1.43 , W ) ) ) ],
% 1.02/1.43 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.02/1.43 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.02/1.43 ] .
% 1.02/1.43
% 1.02/1.43
% 1.02/1.43 percentage equality = 0.189905, percentage horn = 0.860645
% 1.02/1.43 This is a problem with some equality
% 1.02/1.43
% 1.02/1.43
% 1.02/1.43
% 1.02/1.43 Options Used:
% 1.02/1.43
% 1.02/1.43 useres = 1
% 1.02/1.43 useparamod = 1
% 1.02/1.43 useeqrefl = 1
% 1.02/1.43 useeqfact = 1
% 1.02/1.43 usefactor = 1
% 1.02/1.43 usesimpsplitting = 0
% 1.02/1.43 usesimpdemod = 5
% 1.02/1.43 usesimpres = 3
% 1.02/1.43
% 1.02/1.43 resimpinuse = 1000
% 1.02/1.43 resimpclauses = 20000
% 1.02/1.43 substype = eqrewr
% 1.02/1.43 backwardsubs = 1
% 1.02/1.43 selectoldest = 5
% 1.02/1.43
% 1.02/1.43 litorderings [0] = split
% 1.02/1.43 litorderings [1] = extend the termordering, first sorting on arguments
% 1.02/1.43
% 1.02/1.43 termordering = kbo
% 1.02/1.43
% 1.02/1.43 litapriori = 0
% 1.02/1.43 termapriori = 1
% 1.02/1.43 litaposteriori = 0
% 1.02/1.43 termaposteriori = 0
% 1.02/1.43 demodaposteriori = 0
% 1.02/1.43 ordereqreflfact = 0
% 1.02/1.43
% 1.02/1.43 litselect = negord
% 1.02/1.43
% 1.02/1.43 maxweight = 15
% 1.02/1.43 maxdepth = 30000
% 1.02/1.43 maxlength = 115
% 1.02/1.43 maxnrvars = 195
% 1.02/1.43 excuselevel = 1
% 1.02/1.43 increasemaxweight = 1
% 1.02/1.43
% 1.02/1.43 maxselected = 10000000
% 1.02/1.43 maxnrclauses = 10000000
% 1.02/1.43
% 1.02/1.43 showgenerated = 0
% 1.02/1.43 showkept = 0
% 1.02/1.43 showselected = 0
% 1.02/1.43 showdeleted = 0
% 1.02/1.43 showresimp = 1
% 1.02/1.43 showstatus = 2000
% 1.02/1.43
% 1.02/1.43 prologoutput = 1
% 1.02/1.43 nrgoals = 5000000
% 1.02/1.43 totalproof = 1
% 1.02/1.43
% 1.02/1.43 Symbols occurring in the translation:
% 1.02/1.43
% 1.02/1.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.02/1.43 . [1, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.02/1.43 ! [4, 1] (w:0, o:77, a:1, s:1, b:0),
% 1.02/1.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.43 'class_Ring__and__Field_Ozero__neq__one' [40, 1] (w:1, o:82, a:1, s:1
% 1.02/1.43 , b:0),
% 1.02/1.43 'class_Ring__and__Field_Ono__zero__divisors' [41, 1] (w:1, o:84, a:1
% 1.02/1.43 , s:1, b:0),
% 1.02/1.43 'class_Ring__and__Field_Omult__zero' [42, 1] (w:1, o:83, a:1, s:1, b:
% 1.02/1.43 0),
% 1.02/1.43 'class_Power_Opower' [43, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.02/1.43 'tc_nat' [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.02/1.43 'c_Power_Opower__class_Opower' [47, 3] (w:1, o:190, a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Oab__group__add' [48, 1] (w:1, o:86, a:1, s:1, b:
% 1.02/1.43 0),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus' [49, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.02/1.43 hAPP [51, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Opordered__ab__group__add__abs' [55, 1] (w:1, o:
% 1.02/1.43 88, a:1, s:1, b:0),
% 1.02/1.43 'c_HOL_Oabs__class_Oabs' [56, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.02/1.43 'c_lessequals' [58, 3] (w:1, o:191, a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Ogroup__add' [59, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.02/1.43
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus' [60, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.02/1.43 'c_HOL_Oord__class_Oless' [61, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.02/1.43 hBOOL [63, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.02/1.43 'class_Ring__and__Field_Ocomm__semiring__1' [65, 1] (w:1, o:118, a:1
% 1.02/1.43 , s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Oab__semigroup__add' [68, 1] (w:1, o:90, a:1, s:1
% 1.02/1.43 , b:0),
% 1.02/1.43 'class_OrderedGroup_Ocomm__monoid__add' [69, 1] (w:1, o:91, a:1, s:1
% 1.02/1.43 , b:0),
% 1.02/1.43 'class_Ring__and__Field_Oordered__idom' [71, 1] (w:1, o:119, a:1, s:1
% 1.02/1.43 , b:0),
% 1.02/1.43 'class_OrderedGroup_Olordered__ab__group__add' [72, 1] (w:1, o:92, a:
% 1.02/1.43 1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add' [73, 1] (w:1, o:93
% 1.02/1.43 , a:1, s:1, b:0),
% 1.02/1.43 'c_in' [77, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.02/1.43 'tc_bool' [78, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.02/1.43 'tc_fun' [79, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.02/1.43 'c_Orderings_Obot__class_Obot' [80, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.02/1.43 'c_Set_Oinsert' [81, 3] (w:1, o:197, a:1, s:1, b:0),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf' [82, 3] (w:1, o:198, a:1
% 1.02/1.43 , s:1, b:0),
% 1.02/1.43 'class_Ring__and__Field_Osemiring__0' [83, 1] (w:1, o:123, a:1, s:1
% 1.02/1.43 , b:0),
% 1.02/1.43 'c_HOL_Oone__class_Oone' [84, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.02/1.43 'class_Ring__and__Field_Ofield' [85, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.02/1.43
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide' [86, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.02/1.43
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero' [87, 1] (w:1, o:126, a:1
% 1.02/1.43 , s:1, b:0),
% 1.02/1.43 'class_Lattices_Oboolean__algebra' [88, 1] (w:1, o:127, a:1, s:1, b:0
% 1.02/1.43 ),
% 1.02/1.43 'class_OrderedGroup_Opordered__ab__group__add' [90, 1] (w:1, o:94, a:
% 1.02/1.43 1, s:1, b:0),
% 1.02/1.43 'class_Orderings_Obot' [91, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.02/1.43 'c_Orderings_Otop__class_Otop' [94, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.02/1.43 'c_Set_Ovimage' [95, 4] (w:1, o:210, a:1, s:1, b:0),
% 1.02/1.43 'c_Relation_OImage' [99, 4] (w:1, o:208, a:1, s:1, b:0),
% 1.02/1.43 'c_Pair' [100, 4] (w:1, o:211, a:1, s:1, b:0),
% 1.02/1.43 'tc_prod' [102, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.02/1.43 'c_Relation_ODomain' [103, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.02/1.43 'class_Lattices_Obounded__lattice' [104, 1] (w:1, o:129, a:1, s:1, b:
% 1.02/1.43 0),
% 1.02/1.43 'c_Finite__Set_Ofinite' [105, 2] (w:1, o:172, a:1, s:1, b:0),
% 1.02/1.43 'class_Ring__and__Field_Oidom' [106, 1] (w:1, o:130, a:1, s:1, b:0),
% 1.02/1.43
% 1.02/1.43 'class_Int_Onumber__ring' [107, 1] (w:1, o:131, a:1, s:1, b:0),
% 1.02/1.43 'class_Orderings_Olinorder' [108, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Olordered__ab__group__add__abs' [109, 1] (w:1, o:
% 1.02/1.43 97, a:1, s:1, b:0),
% 1.02/1.43 'class_Ring__and__Field_Oabs__if' [110, 1] (w:1, o:132, a:1, s:1, b:0
% 1.02/1.43 ),
% 1.02/1.43 'c_Finite__Set_Ocard' [111, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Omonoid__mult' [112, 1] (w:1, o:99, a:1, s:1, b:0
% 1.02/1.43 ),
% 1.02/1.43 'class_Lattices_Olattice' [113, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.02/1.43 'class_Lattices_Olower__semilattice' [114, 1] (w:1, o:134, a:1, s:1
% 1.02/1.43 , b:0),
% 1.02/1.43 'class_Ring__and__Field_Oordered__field' [116, 1] (w:1, o:135, a:1
% 1.02/1.43 , s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Olordered__ab__group__add__meet' [117, 1] (w:1
% 1.02/1.43 , o:98, a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Ocancel__ab__semigroup__add' [119, 1] (w:1, o:100
% 1.02/1.43 , a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Ocancel__semigroup__add' [120, 1] (w:1, o:101, a:
% 1.02/1.43 1, s:1, b:0),
% 1.02/1.43 'c_Nat_Osemiring__1__class_Oof__nat' [121, 2] (w:1, o:174, a:1, s:1
% 1.02/1.43 , b:0),
% 1.02/1.43 'class_Ring__and__Field_Oordered__semidom' [122, 1] (w:1, o:136, a:1
% 1.02/1.43 , s:1, b:0),
% 1.02/1.43 'c_Relation_ORange' [123, 3] (w:1, o:193, a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Omonoid__add' [124, 1] (w:1, o:102, a:1, s:1, b:0
% 1.02/1.43 ),
% 1.02/1.43 'class_OrderedGroup_Oordered__ab__group__add' [125, 1] (w:1, o:87, a:
% 1.02/1.43 1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [128, 1]
% 1.02/1.43 (w:1, o:103, a:1, s:1, b:0),
% 1.02/1.43 'class_Ring__and__Field_Oring__1__no__zero__divisors' [129, 1] (w:1
% 1.02/1.43 , o:122, a:1, s:1, b:0),
% 1.02/1.43 'c_Relation_Ototal__on' [130, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.02/1.43 'class_Orderings_Otop' [131, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.02/1.43 'class_Finite__Set_Ofinite_Ofinite' [132, 1] (w:1, o:137, a:1, s:1
% 1.02/1.43 , b:0),
% 1.02/1.43 'class_Ring__and__Field_Osemiring__1' [133, 1] (w:1, o:138, a:1, s:1
% 1.02/1.43 , b:0),
% 1.02/1.43 'c_Finite__Set_Osetsum' [134, 4] (w:1, o:213, a:1, s:1, b:0),
% 1.02/1.43 'c_Equiv__Relations_Oequiv' [135, 3] (w:1, o:199, a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Opordered__comm__monoid__add' [136, 1] (w:1, o:
% 1.02/1.43 105, a:1, s:1, b:0),
% 1.02/1.43 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [138, 1]
% 1.02/1.43 (w:1, o:106, a:1, s:1, b:0),
% 1.02/1.43 'c_HOL_OIf' [139, 1] (w:1, o:139, a:1, s:1, b:0),
% 1.02/1.43 'c_COMBC' [140, 5] (w:1, o:228, a:1, s:1, b:0),
% 1.02/1.43 'c_COMBB' [141, 5] (w:1, o:227, a:1, s:1, b:0),
% 1.02/1.43 'c_COMBS' [142, 5] (w:1, o:229, a:1, s:1, b:0),
% 1.02/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonpos__1__1' [145, 4] (w:
% 1.02/1.43 1, o:214, a:1, s:1, b:0),
% 1.02/1.43 'c_Finite__Set_Osetprod' [147, 4] (w:1, o:215, a:1, s:1, b:0),
% 1.02/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__nonneg__1__1' [148, 4]
% 1.02/1.43 (w:1, o:216, a:1, s:1, b:0),
% 1.02/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1' [149, 4] (w:1
% 1.02/1.43 , o:217, a:1, s:1, b:0),
% 1.02/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1' [150, 4
% 1.02/1.43 ] (w:1, o:218, a:1, s:1, b:0),
% 1.02/1.43 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [151, 4]
% 1.02/1.43 (w:1, o:219, a:1, s:1, b:0),
% 1.02/1.43 'c_Transitive__Closure_Otrancl' [152, 2] (w:1, o:175, a:1, s:1, b:0)
% 1.02/1.43 ,
% 1.02/1.43 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [153, 4]
% 1.02/1.43 (w:1, o:220, a:1, s:1, b:0),
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [155, 3]
% 1.02/1.43 (w:1, o:200, a:1, s:1, b:0),
% 1.02/1.43 'c_Wellfounded_Owf' [156, 2] (w:1, o:176, a:1, s:1, b:0),
% 1.02/1.43 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [157, 3] (w:1, o:
% 1.02/1.43 201, a:1, s:1, b:0),
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [158, 5] (w:1, o:230
% 1.02/1.43 , a:1, s:1, b:0),
% 1.02/1.43 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [159, 5] (w:1, o:
% 10.77/11.18 231, a:1, s:1, b:0),
% 10.77/11.18 'class_OrderedGroup_Ocomm__monoid__mult' [160, 1] (w:1, o:107, a:1
% 10.77/11.18 , s:1, b:0),
% 10.77/11.18 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [161, 3] (w:1
% 10.77/11.18 , o:202, a:1, s:1, b:0),
% 10.77/11.18 'c_Wellfounded_Oacc' [162, 2] (w:1, o:177, a:1, s:1, b:0),
% 10.77/11.18 'v_sko__Wellfounded__Xacc__Xinducts__1' [163, 2] (w:1, o:178, a:1, s:
% 10.77/11.18 1, b:0),
% 10.77/11.18 't_a' [164, 0] (w:1, o:50, a:1, s:1, b:0),
% 10.77/11.18 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [165, 3]
% 10.77/11.18 (w:1, o:203, a:1, s:1, b:0),
% 10.77/11.18 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [166, 3] (w:
% 10.77/11.18 1, o:204, a:1, s:1, b:0),
% 10.77/11.18 'v_sko__Wellfounded__Xacc__Xinduct__1' [167, 2] (w:1, o:179, a:1, s:1
% 10.77/11.18 , b:0),
% 10.77/11.18 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [168, 3] (w:1
% 10.77/11.18 , o:205, a:1, s:1, b:0),
% 10.77/11.18 'c_Transitive__Closure_Ortrancl' [169, 2] (w:1, o:180, a:1, s:1, b:0)
% 10.77/11.18 ,
% 10.77/11.18 'c_Relation_Orefl__on' [170, 3] (w:1, o:195, a:1, s:1, b:0),
% 10.77/11.18 'c_Relation_OId' [171, 1] (w:1, o:140, a:1, s:1, b:0),
% 10.77/11.18 'c_Relation_OId__on' [172, 2] (w:1, o:181, a:1, s:1, b:0),
% 10.77/11.18 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [173, 4] (w:1, o:221
% 10.77/11.18 , a:1, s:1, b:0),
% 10.77/11.18 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [174, 4] (w:1, o:
% 10.77/11.18 222, a:1, s:1, b:0),
% 10.77/11.18 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [176, 4] (w:1, o:223
% 10.77/11.18 , a:1, s:1, b:0),
% 10.77/11.18 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [177, 4] (w:1, o:
% 10.77/11.18 224, a:1, s:1, b:0),
% 10.77/11.18 'c_fequal' [178, 1] (w:1, o:141, a:1, s:1, b:0),
% 10.77/11.18 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1' [180, 2] (w:1, o:182
% 10.77/11.18 , a:1, s:1, b:0),
% 10.77/11.18 'tc_Arrow__Order__Mirabelle_Oalt' [181, 0] (w:1, o:52, a:1, s:1, b:0)
% 10.77/11.18 ,
% 10.77/11.18 'c_List_Olist_ONil' [182, 1] (w:1, o:142, a:1, s:1, b:0),
% 10.77/11.18 'c_List_Olist_OCons' [183, 3] (w:1, o:206, a:1, s:1, b:0),
% 10.77/11.18 'c_List_Odistinct' [184, 2] (w:1, o:183, a:1, s:1, b:0),
% 10.77/11.18 'tc_Arrow__Order__Mirabelle_Oindi' [185, 0] (w:1, o:53, a:1, s:1, b:0
% 10.77/11.18 ),
% 10.77/11.18 'v_h____' [186, 0] (w:1, o:54, a:1, s:1, b:0),
% 10.77/11.18 'v_Lab____' [187, 0] (w:1, o:55, a:1, s:1, b:0),
% 10.77/11.18 'v_Lba____' [188, 0] (w:1, o:56, a:1, s:1, b:0),
% 10.77/11.18 'c_Arrow__Order__Mirabelle_OProf' [189, 0] (w:1, o:57, a:1, s:1, b:0)
% 10.77/11.18 ,
% 10.77/11.18 'v_a____' [190, 0] (w:1, o:58, a:1, s:1, b:0),
% 10.77/11.18 'v_b____' [191, 0] (w:1, o:59, a:1, s:1, b:0),
% 10.77/11.18 'v_n____' [192, 0] (w:1, o:60, a:1, s:1, b:0),
% 10.77/11.18 'v_F' [193, 1] (w:1, o:143, a:1, s:1, b:0),
% 10.77/11.18 'class_Orderings_Oorder' [194, 1] (w:1, o:108, a:1, s:1, b:0),
% 10.77/11.18 'class_Orderings_Opreorder' [195, 1] (w:1, o:109, a:1, s:1, b:0),
% 10.77/11.18 'c_Relation_Oconverse' [196, 3] (w:1, o:196, a:1, s:1, b:0),
% 10.77/11.18 'c_Wellfounded_Omlex__prod' [197, 3] (w:1, o:207, a:1, s:1, b:0),
% 10.77/11.18 'c_Recdef_Ocut' [199, 5] (w:1, o:232, a:1, s:1, b:0),
% 10.77/11.18 'c_Relation_Osym' [201, 2] (w:1, o:184, a:1, s:1, b:0),
% 10.77/11.18 'c_Relation_Orel__comp' [205, 5] (w:1, o:233, a:1, s:1, b:0),
% 10.77/11.18 'c_Relation_Oantisym' [206, 2] (w:1, o:185, a:1, s:1, b:0),
% 10.77/11.18 'c_Relation_Oinv__image' [209, 4] (w:1, o:209, a:1, s:1, b:0),
% 10.77/11.18 'class_Nat_Osemiring__char__0' [212, 1] (w:1, o:85, a:1, s:1, b:0),
% 10.77/11.18 'c_Wellfounded_Omeasure' [214, 2] (w:1, o:186, a:1, s:1, b:0),
% 10.77/11.18 'c_Relation_Oirrefl' [215, 2] (w:1, o:187, a:1, s:1, b:0),
% 10.77/11.18 'c_Equiv__Relations_Ocongruent' [216, 4] (w:1, o:212, a:1, s:1, b:0)
% 10.77/11.18 ,
% 10.77/11.18 'c_Nitpick_Orefl_H' [217, 2] (w:1, o:188, a:1, s:1, b:0),
% 10.77/11.18 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [218, 2] (w:1, o:
% 10.77/11.18 189, a:1, s:1, b:0),
% 10.77/11.18 'c_Product__Type_OSigma' [219, 4] (w:1, o:225, a:1, s:1, b:0),
% 10.77/11.18 'v_c____' [220, 0] (w:1, o:65, a:1, s:1, b:0),
% 10.77/11.18 'v_d____' [221, 0] (w:1, o:66, a:1, s:1, b:0),
% 10.77/11.18 'v_e____' [222, 0] (w:1, o:67, a:1, s:1, b:0),
% 10.77/11.18 'c_Arrow__Order__Mirabelle_Omktop' [223, 0] (w:1, o:68, a:1, s:1, b:0
% 10.77/11.18 ),
% 10.77/11.18 'c_Arrow__Order__Mirabelle_Omkbot' [226, 0] (w:1, o:70, a:1, s:1, b:0
% 10.77/11.18 ),
% 10.77/11.18 'v_P____' [227, 0] (w:1, o:71, a:1, s:1, b:0),
% 10.77/11.18 'c_Arrow__Order__Mirabelle_Oabove' [228, 0] (w:1, o:72, a:1, s:1, b:0
% 10.77/11.18 ),
% 10.77/11.18 'v_sko__CHAINED__1' [229, 4] (w:1, o:226, a:1, s:1, b:0).
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Starting Search:
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 4826
% 28.87/29.26 Kept: 2005
% 28.87/29.26 Inuse: 140
% 28.87/29.26 Deleted: 6
% 28.87/29.26 Deletedinuse: 0
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 11841
% 28.87/29.26 Kept: 4215
% 28.87/29.26 Inuse: 265
% 28.87/29.26 Deleted: 6
% 28.87/29.26 Deletedinuse: 0
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 18239
% 28.87/29.26 Kept: 6575
% 28.87/29.26 Inuse: 325
% 28.87/29.26 Deleted: 6
% 28.87/29.26 Deletedinuse: 0
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 25597
% 28.87/29.26 Kept: 8651
% 28.87/29.26 Inuse: 379
% 28.87/29.26 Deleted: 7
% 28.87/29.26 Deletedinuse: 0
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 30910
% 28.87/29.26 Kept: 10660
% 28.87/29.26 Inuse: 412
% 28.87/29.26 Deleted: 7
% 28.87/29.26 Deletedinuse: 0
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 37025
% 28.87/29.26 Kept: 13218
% 28.87/29.26 Inuse: 439
% 28.87/29.26 Deleted: 7
% 28.87/29.26 Deletedinuse: 0
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 54610
% 28.87/29.26 Kept: 15795
% 28.87/29.26 Inuse: 490
% 28.87/29.26 Deleted: 18
% 28.87/29.26 Deletedinuse: 7
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 60610
% 28.87/29.26 Kept: 17797
% 28.87/29.26 Inuse: 517
% 28.87/29.26 Deleted: 23
% 28.87/29.26 Deletedinuse: 7
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 69328
% 28.87/29.26 Kept: 19814
% 28.87/29.26 Inuse: 564
% 28.87/29.26 Deleted: 24
% 28.87/29.26 Deletedinuse: 7
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying clauses:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 84672
% 28.87/29.26 Kept: 22186
% 28.87/29.26 Inuse: 593
% 28.87/29.26 Deleted: 258
% 28.87/29.26 Deletedinuse: 9
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 102248
% 28.87/29.26 Kept: 24300
% 28.87/29.26 Inuse: 608
% 28.87/29.26 Deleted: 258
% 28.87/29.26 Deletedinuse: 9
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 117039
% 28.87/29.26 Kept: 26304
% 28.87/29.26 Inuse: 638
% 28.87/29.26 Deleted: 258
% 28.87/29.26 Deletedinuse: 9
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 128633
% 28.87/29.26 Kept: 28588
% 28.87/29.26 Inuse: 664
% 28.87/29.26 Deleted: 259
% 28.87/29.26 Deletedinuse: 10
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 139492
% 28.87/29.26 Kept: 30667
% 28.87/29.26 Inuse: 694
% 28.87/29.26 Deleted: 259
% 28.87/29.26 Deletedinuse: 10
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 153822
% 28.87/29.26 Kept: 32993
% 28.87/29.26 Inuse: 708
% 28.87/29.26 Deleted: 259
% 28.87/29.26 Deletedinuse: 10
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 166613
% 28.87/29.26 Kept: 35117
% 28.87/29.26 Inuse: 748
% 28.87/29.26 Deleted: 260
% 28.87/29.26 Deletedinuse: 11
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 181070
% 28.87/29.26 Kept: 37426
% 28.87/29.26 Inuse: 793
% 28.87/29.26 Deleted: 260
% 28.87/29.26 Deletedinuse: 11
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 196391
% 28.87/29.26 Kept: 39702
% 28.87/29.26 Inuse: 816
% 28.87/29.26 Deleted: 342
% 28.87/29.26 Deletedinuse: 79
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying clauses:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 212468
% 28.87/29.26 Kept: 41713
% 28.87/29.26 Inuse: 844
% 28.87/29.26 Deleted: 1098
% 28.87/29.26 Deletedinuse: 79
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 241313
% 28.87/29.26 Kept: 44903
% 28.87/29.26 Inuse: 849
% 28.87/29.26 Deleted: 1098
% 28.87/29.26 Deletedinuse: 79
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 272190
% 28.87/29.26 Kept: 48153
% 28.87/29.26 Inuse: 854
% 28.87/29.26 Deleted: 1098
% 28.87/29.26 Deletedinuse: 79
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 283728
% 28.87/29.26 Kept: 50256
% 28.87/29.26 Inuse: 879
% 28.87/29.26 Deleted: 1098
% 28.87/29.26 Deletedinuse: 79
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 292456
% 28.87/29.26 Kept: 52447
% 28.87/29.26 Inuse: 899
% 28.87/29.26 Deleted: 1098
% 28.87/29.26 Deletedinuse: 79
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 302019
% 28.87/29.26 Kept: 54734
% 28.87/29.26 Inuse: 923
% 28.87/29.26 Deleted: 1101
% 28.87/29.26 Deletedinuse: 81
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26 Resimplifying inuse:
% 28.87/29.26 Done
% 28.87/29.26
% 28.87/29.26
% 28.87/29.26 Intermediate Status:
% 28.87/29.26 Generated: 309149
% 58.82/59.26 Kept: 56736
% 58.82/59.26 Inuse: 929
% 58.82/59.26 Deleted: 1101
% 58.82/59.26 Deletedinuse: 81
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 323505
% 58.82/59.26 Kept: 60187
% 58.82/59.26 Inuse: 953
% 58.82/59.26 Deleted: 1101
% 58.82/59.26 Deletedinuse: 81
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying clauses:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 336394
% 58.82/59.26 Kept: 62608
% 58.82/59.26 Inuse: 963
% 58.82/59.26 Deleted: 1278
% 58.82/59.26 Deletedinuse: 81
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 348839
% 58.82/59.26 Kept: 64700
% 58.82/59.26 Inuse: 998
% 58.82/59.26 Deleted: 1278
% 58.82/59.26 Deletedinuse: 81
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 360116
% 58.82/59.26 Kept: 66719
% 58.82/59.26 Inuse: 1016
% 58.82/59.26 Deleted: 1280
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 367887
% 58.82/59.26 Kept: 68761
% 58.82/59.26 Inuse: 1023
% 58.82/59.26 Deleted: 1280
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 376581
% 58.82/59.26 Kept: 70869
% 58.82/59.26 Inuse: 1034
% 58.82/59.26 Deleted: 1280
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 385848
% 58.82/59.26 Kept: 73154
% 58.82/59.26 Inuse: 1053
% 58.82/59.26 Deleted: 1280
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 392523
% 58.82/59.26 Kept: 75212
% 58.82/59.26 Inuse: 1063
% 58.82/59.26 Deleted: 1280
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 398761
% 58.82/59.26 Kept: 77405
% 58.82/59.26 Inuse: 1073
% 58.82/59.26 Deleted: 1280
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 409242
% 58.82/59.26 Kept: 79560
% 58.82/59.26 Inuse: 1093
% 58.82/59.26 Deleted: 1280
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying clauses:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 420192
% 58.82/59.26 Kept: 81576
% 58.82/59.26 Inuse: 1115
% 58.82/59.26 Deleted: 1508
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 430629
% 58.82/59.26 Kept: 83598
% 58.82/59.26 Inuse: 1134
% 58.82/59.26 Deleted: 1508
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 440556
% 58.82/59.26 Kept: 85676
% 58.82/59.26 Inuse: 1160
% 58.82/59.26 Deleted: 1508
% 58.82/59.26 Deletedinuse: 83
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 450207
% 58.82/59.26 Kept: 87736
% 58.82/59.26 Inuse: 1178
% 58.82/59.26 Deleted: 1509
% 58.82/59.26 Deletedinuse: 84
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 459546
% 58.82/59.26 Kept: 89830
% 58.82/59.26 Inuse: 1192
% 58.82/59.26 Deleted: 1509
% 58.82/59.26 Deletedinuse: 84
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 470929
% 58.82/59.26 Kept: 91830
% 58.82/59.26 Inuse: 1215
% 58.82/59.26 Deleted: 1509
% 58.82/59.26 Deletedinuse: 84
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 487611
% 58.82/59.26 Kept: 94962
% 58.82/59.26 Inuse: 1227
% 58.82/59.26 Deleted: 1509
% 58.82/59.26 Deletedinuse: 84
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 499294
% 58.82/59.26 Kept: 97078
% 58.82/59.26 Inuse: 1252
% 58.82/59.26 Deleted: 1509
% 58.82/59.26 Deletedinuse: 84
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 517934
% 58.82/59.26 Kept: 99171
% 58.82/59.26 Inuse: 1262
% 58.82/59.26 Deleted: 1509
% 58.82/59.26 Deletedinuse: 84
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 526530
% 58.82/59.26 Kept: 101517
% 58.82/59.26 Inuse: 1282
% 58.82/59.26 Deleted: 1509
% 58.82/59.26 Deletedinuse: 84
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying clauses:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 534133
% 58.82/59.26 Kept: 103520
% 58.82/59.26 Inuse: 1299
% 58.82/59.26 Deleted: 1684
% 58.82/59.26 Deletedinuse: 84
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 541801
% 58.82/59.26 Kept: 105616
% 58.82/59.26 Inuse: 1317
% 58.82/59.26 Deleted: 1687
% 58.82/59.26 Deletedinuse: 87
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 561274
% 58.82/59.26 Kept: 108069
% 58.82/59.26 Inuse: 1337
% 58.82/59.26 Deleted: 1687
% 58.82/59.26 Deletedinuse: 87
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26 Resimplifying inuse:
% 58.82/59.26 Done
% 58.82/59.26
% 58.82/59.26
% 58.82/59.26 Intermediate Status:
% 58.82/59.26 Generated: 571962
% 58.82/59.26 Kept: 110291
% 58.82/59.26 Inuse: 1357
% 110.89/111.39 Deleted: 1689
% 110.89/111.39 Deletedinuse: 89
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 582094
% 110.89/111.39 Kept: 112552
% 110.89/111.39 Inuse: 1367
% 110.89/111.39 Deleted: 1689
% 110.89/111.39 Deletedinuse: 89
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 591418
% 110.89/111.39 Kept: 114558
% 110.89/111.39 Inuse: 1379
% 110.89/111.39 Deleted: 1695
% 110.89/111.39 Deletedinuse: 92
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 606115
% 110.89/111.39 Kept: 117679
% 110.89/111.39 Inuse: 1399
% 110.89/111.39 Deleted: 1697
% 110.89/111.39 Deletedinuse: 94
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 621581
% 110.89/111.39 Kept: 120286
% 110.89/111.39 Inuse: 1419
% 110.89/111.39 Deleted: 1697
% 110.89/111.39 Deletedinuse: 94
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying clauses:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 631894
% 110.89/111.39 Kept: 122780
% 110.89/111.39 Inuse: 1439
% 110.89/111.39 Deleted: 2541
% 110.89/111.39 Deletedinuse: 94
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 643726
% 110.89/111.39 Kept: 124925
% 110.89/111.39 Inuse: 1454
% 110.89/111.39 Deleted: 2553
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 655385
% 110.89/111.39 Kept: 127239
% 110.89/111.39 Inuse: 1474
% 110.89/111.39 Deleted: 2553
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 665981
% 110.89/111.39 Kept: 129305
% 110.89/111.39 Inuse: 1489
% 110.89/111.39 Deleted: 2553
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 677780
% 110.89/111.39 Kept: 131565
% 110.89/111.39 Inuse: 1514
% 110.89/111.39 Deleted: 2553
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 688105
% 110.89/111.39 Kept: 133944
% 110.89/111.39 Inuse: 1534
% 110.89/111.39 Deleted: 2553
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 698601
% 110.89/111.39 Kept: 136193
% 110.89/111.39 Inuse: 1554
% 110.89/111.39 Deleted: 2553
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 710967
% 110.89/111.39 Kept: 138386
% 110.89/111.39 Inuse: 1579
% 110.89/111.39 Deleted: 2553
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 721910
% 110.89/111.39 Kept: 140768
% 110.89/111.39 Inuse: 1599
% 110.89/111.39 Deleted: 2553
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 737458
% 110.89/111.39 Kept: 143343
% 110.89/111.39 Inuse: 1609
% 110.89/111.39 Deleted: 2553
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying clauses:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 750585
% 110.89/111.39 Kept: 145504
% 110.89/111.39 Inuse: 1614
% 110.89/111.39 Deleted: 2934
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 760174
% 110.89/111.39 Kept: 147574
% 110.89/111.39 Inuse: 1619
% 110.89/111.39 Deleted: 2934
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 773524
% 110.89/111.39 Kept: 149655
% 110.89/111.39 Inuse: 1645
% 110.89/111.39 Deleted: 2934
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 784220
% 110.89/111.39 Kept: 151843
% 110.89/111.39 Inuse: 1664
% 110.89/111.39 Deleted: 2934
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 795003
% 110.89/111.39 Kept: 153874
% 110.89/111.39 Inuse: 1684
% 110.89/111.39 Deleted: 2934
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 810894
% 110.89/111.39 Kept: 156489
% 110.89/111.39 Inuse: 1699
% 110.89/111.39 Deleted: 2934
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 823170
% 110.89/111.39 Kept: 158799
% 110.89/111.39 Inuse: 1714
% 110.89/111.39 Deleted: 2934
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 834916
% 110.89/111.39 Kept: 161117
% 110.89/111.39 Inuse: 1729
% 110.89/111.39 Deleted: 2934
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 845646
% 110.89/111.39 Kept: 163318
% 110.89/111.39 Inuse: 1744
% 110.89/111.39 Deleted: 2934
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying clauses:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 110.89/111.39 Generated: 858191
% 110.89/111.39 Kept: 165617
% 110.89/111.39 Inuse: 1759
% 110.89/111.39 Deleted: 3083
% 110.89/111.39 Deletedinuse: 106
% 110.89/111.39
% 110.89/111.39 Resimplifying inuse:
% 110.89/111.39 Done
% 110.89/111.39
% 110.89/111.39
% 110.89/111.39 Intermediate Status:
% 214.55/215.01 Generated: 873516
% 214.55/215.01 Kept: 168647
% 214.55/215.01 Inuse: 1769
% 214.55/215.01 Deleted: 3083
% 214.55/215.01 Deletedinuse: 106
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 887076
% 214.55/215.01 Kept: 171233
% 214.55/215.01 Inuse: 1789
% 214.55/215.01 Deleted: 3083
% 214.55/215.01 Deletedinuse: 106
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 902261
% 214.55/215.01 Kept: 173649
% 214.55/215.01 Inuse: 1809
% 214.55/215.01 Deleted: 3083
% 214.55/215.01 Deletedinuse: 106
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 921139
% 214.55/215.01 Kept: 176288
% 214.55/215.01 Inuse: 1834
% 214.55/215.01 Deleted: 3083
% 214.55/215.01 Deletedinuse: 106
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 931122
% 214.55/215.01 Kept: 178400
% 214.55/215.01 Inuse: 1847
% 214.55/215.01 Deleted: 3083
% 214.55/215.01 Deletedinuse: 106
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 939541
% 214.55/215.01 Kept: 181000
% 214.55/215.01 Inuse: 1854
% 214.55/215.01 Deleted: 3083
% 214.55/215.01 Deletedinuse: 106
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 946594
% 214.55/215.01 Kept: 183052
% 214.55/215.01 Inuse: 1869
% 214.55/215.01 Deleted: 3083
% 214.55/215.01 Deletedinuse: 106
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying clauses:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 954427
% 214.55/215.01 Kept: 185419
% 214.55/215.01 Inuse: 1884
% 214.55/215.01 Deleted: 3317
% 214.55/215.01 Deletedinuse: 106
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 970269
% 214.55/215.01 Kept: 188941
% 214.55/215.01 Inuse: 1894
% 214.55/215.01 Deleted: 3317
% 214.55/215.01 Deletedinuse: 106
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1009960
% 214.55/215.01 Kept: 195714
% 214.55/215.01 Inuse: 1899
% 214.55/215.01 Deleted: 3318
% 214.55/215.01 Deletedinuse: 107
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1037292
% 214.55/215.01 Kept: 199060
% 214.55/215.01 Inuse: 1914
% 214.55/215.01 Deleted: 3318
% 214.55/215.01 Deletedinuse: 107
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1050251
% 214.55/215.01 Kept: 201597
% 214.55/215.01 Inuse: 1934
% 214.55/215.01 Deleted: 3318
% 214.55/215.01 Deletedinuse: 107
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1059062
% 214.55/215.01 Kept: 203652
% 214.55/215.01 Inuse: 1946
% 214.55/215.01 Deleted: 3318
% 214.55/215.01 Deletedinuse: 107
% 214.55/215.01
% 214.55/215.01 Resimplifying clauses:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1068175
% 214.55/215.01 Kept: 205726
% 214.55/215.01 Inuse: 1964
% 214.55/215.01 Deleted: 3564
% 214.55/215.01 Deletedinuse: 107
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1080633
% 214.55/215.01 Kept: 208374
% 214.55/215.01 Inuse: 1984
% 214.55/215.01 Deleted: 3564
% 214.55/215.01 Deletedinuse: 107
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1089601
% 214.55/215.01 Kept: 210437
% 214.55/215.01 Inuse: 1999
% 214.55/215.01 Deleted: 3564
% 214.55/215.01 Deletedinuse: 107
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1098445
% 214.55/215.01 Kept: 212556
% 214.55/215.01 Inuse: 2014
% 214.55/215.01 Deleted: 3564
% 214.55/215.01 Deletedinuse: 107
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1118115
% 214.55/215.01 Kept: 215148
% 214.55/215.01 Inuse: 2053
% 214.55/215.01 Deleted: 3566
% 214.55/215.01 Deletedinuse: 108
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1130797
% 214.55/215.01 Kept: 217451
% 214.55/215.01 Inuse: 2073
% 214.55/215.01 Deleted: 3566
% 214.55/215.01 Deletedinuse: 108
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1139982
% 214.55/215.01 Kept: 219467
% 214.55/215.01 Inuse: 2088
% 214.55/215.01 Deleted: 3566
% 214.55/215.01 Deletedinuse: 108
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1152510
% 214.55/215.01 Kept: 221965
% 214.55/215.01 Inuse: 2108
% 214.55/215.01 Deleted: 3567
% 214.55/215.01 Deletedinuse: 109
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1161415
% 214.55/215.01 Kept: 224122
% 214.55/215.01 Inuse: 2123
% 214.55/215.01 Deleted: 3567
% 214.55/215.01 Deletedinuse: 109
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying clauses:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1172547
% 214.55/215.01 Kept: 227001
% 214.55/215.01 Inuse: 2133
% 214.55/215.01 Deleted: 3835
% 214.55/215.01 Deletedinuse: 109
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1183066
% 214.55/215.01 Kept: 229006
% 214.55/215.01 Inuse: 2146
% 214.55/215.01 Deleted: 3835
% 214.55/215.01 Deletedinuse: 109
% 214.55/215.01
% 214.55/215.01 Resimplifying inuse:
% 214.55/215.01 Done
% 214.55/215.01
% 214.55/215.01
% 214.55/215.01 Intermediate Status:
% 214.55/215.01 Generated: 1193643
% 214.55/215.01 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------