TSTP Solution File: SWV879-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV879-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:00 EDT 2022
% Result : Timeout 286.30s 286.72s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV879-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Wed Jun 15 01:49:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.00/1.38 *** allocated 10000 integers for termspace/termends
% 1.00/1.38 *** allocated 10000 integers for clauses
% 1.00/1.38 *** allocated 10000 integers for justifications
% 1.00/1.38 *** allocated 15000 integers for termspace/termends
% 1.00/1.38 *** allocated 22500 integers for termspace/termends
% 1.00/1.38 Bliksem 1.12
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Automatic Strategy Selection
% 1.00/1.38
% 1.00/1.38 Clauses:
% 1.00/1.38 [
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 1.00/1.38 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.38 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.38 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.38 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.00/1.38 'tc_bool' ) ) ), Y ) ],
% 1.00/1.38 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.38 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.38 ) ) ), Y ), Y ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.00/1.38 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.00/1.38 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.00/1.38 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.38 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 1.00/1.38 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.38 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.38 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.38 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 1.00/1.38 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.38 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.00/1.38 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.00/1.38 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.00/1.38 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.00/1.38 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.38 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.00/1.38 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.00/1.38 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.00/1.38 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.00/1.38 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.38 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.00/1.38 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.38 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.00/1.38 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.38 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.00/1.38 'c_Orderings_Oord__class_Omax'( X ) ) ],
% 1.00/1.38 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.38 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.38 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Y ), T ) ) ) ],
% 1.00/1.38 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.38 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.38 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.38 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.38 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Z ), X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), T )
% 1.00/1.38 , Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Y )
% 1.00/1.38 , Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.00/1.38 , Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.00/1.38 , T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.00/1.38 , Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.00/1.38 , T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), T )
% 1.00/1.38 , Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Y )
% 1.00/1.38 , Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.38 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.38 , Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.00/1.38 ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 1.00/1.38 Y ) ), =( 'c_Finite__Set_Osetsum'( U, hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.38 , Z ), T ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.00/1.38 'c_Finite__Set_Osetsum'( U, Z, Y, X ) ), 'c_Finite__Set_Osetsum'( U, T, Y
% 1.00/1.38 , X ) ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), T ) ), U ), W, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.00/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ), W, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.00/1.38 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), U ) ), W ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.00/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.00/1.38 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ), X ) ) ],
% 1.00/1.38 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.00/1.38 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ),
% 1.00/1.38 T ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ),
% 1.00/1.38 Z ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.00/1.38 Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.00/1.38 Z, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.00/1.38 Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.00/1.38 Z, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ),
% 1.00/1.38 T ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ),
% 1.00/1.38 Z ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.38 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omax'( X ), T ), Z ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.00/1.38 [ =( 'c_Finite__Set_Ofold'( X, Y, Z, T, U ), 'c_The'(
% 1.00/1.38 'c_Finite__Set_Ofold__graph'( X, Y, Z, T, U ), U ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.00/1.38 ) ), T ) ), U ), W, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 X ), Y ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ), W, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.00/1.38 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 1.00/1.38 ) ), U ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 X ), T ), U ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.00/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.00/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.00/1.38 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 1.00/1.38 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 1.00/1.38 , Z, 'tc_fun'( T, X ) ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.38 , Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.38 , Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omin'( X ), Y ), Y ), Y ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.38 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.00/1.38 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 1.00/1.38 ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.38 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.00/1.38 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 1.00/1.38 ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.38 ), =( Z, Y ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.38 ) ],
% 1.00/1.38 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.00/1.38 , Y, 'tc_nat' ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.00/1.38 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.00/1.38 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Orderings_Oord__class_Omax'( X ), Y ), Y ), Y ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.00/1.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.38 'tc_nat' ) ) ],
% 1.00/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.38 'tc_nat' ) ) ],
% 1.00/1.38 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 1.00/1.38 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.38 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.38 , T ), U ), Z, X ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, T, Z, X ) )
% 1.00/1.38 , 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.00/1.38 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.00/1.38 'tc_bool' ) ), T ), U ), Z, X ), X ) ), ~( 'c_Finite__Set_Ofinite'( U, Z
% 1.00/1.38 ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.38 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.00/1.38 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.38 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.38 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.00/1.38 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.38 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.00/1.38 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.00/1.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.00/1.38 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.00/1.38 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 1.00/1.38 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 1.00/1.38 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 1.00/1.38 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.38 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.38 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 1.00/1.38 ],
% 1.00/1.38 [ 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.00/1.38 [ 'c_lessequals'( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.38 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.00/1.38 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.38 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 1.00/1.38 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.00/1.38 ],
% 1.00/1.38 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.38 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 1.00/1.38 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.00/1.38 ],
% 1.00/1.38 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.00/1.38 'tc_nat' ) ) ],
% 1.00/1.38 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.00/1.38 'tc_nat' ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.38 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.00/1.39 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.00/1.39 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.00/1.39 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.39 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.00/1.39 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.00/1.39 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.39 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.00/1.39 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.39 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.00/1.39 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.00/1.39 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.39 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.00/1.39 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.00/1.39 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.00/1.39 , X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.39 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.00/1.39 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 1.00/1.39 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.00/1.39 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.00/1.39 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.00/1.39 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), X ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Y ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Z, Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Z ), Y ), X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.00/1.39 Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.00/1.39 Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.00/1.39 Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X
% 1.00/1.39 ) ), Z ) ), T ), W ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X
% 1.00/1.39 ) ), Z ) ), W ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( T, Y, X
% 1.00/1.39 ) ), Z ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , T ), U ), Z, X ) ), 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , T ), U ), Z, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), 'c_Finite__Set_Osetsum'( Y, U, Z
% 1.00/1.39 , X ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.00/1.39 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.00/1.39 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.00/1.39 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'(
% 1.00/1.39 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 Z, T, X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.00/1.39 hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), T, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.39 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.39 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), U ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.39 ), Z ), Y ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.39 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.00/1.39 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.39 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.00/1.39 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.39 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.00/1.39 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.00/1.39 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ), 'c_Finite__Set_Ofold'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y, Z, X, X ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Z ), ~( 'c_lessequals'( Y
% 1.00/1.39 , Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Z ) ), 'c_lessequals'( Y,
% 1.00/1.39 Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Y ), ~( 'c_lessequals'( Z
% 1.00/1.39 , Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 X ), Y ), Z ) ), T ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 X ), Y ), Z ) ), T ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.39 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ), ~( 'c_lessequals'( Y
% 1.00/1.39 , Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ) ), 'c_lessequals'( Y,
% 1.00/1.39 Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z ), ~( 'c_lessequals'( Z
% 1.00/1.39 , Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'(
% 1.00/1.39 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 Z, T, X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.00/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.39 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.39 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.39 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.39 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 1.00/1.39 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.39 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.00/1.39 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), Y ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.00/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), T ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), T ), Y ), Z, X ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 1.00/1.39 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.00/1.39 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.39 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.00/1.39 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.00/1.39 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( T, U, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), U ), X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.00/1.39 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.39 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.39 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.39 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.39 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ), hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ),
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, T, U, X ) ) ), hBOOL( 'c_in'( Z, T, U ) ),
% 1.00/1.39 ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Z ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ),
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Finite__Set_Ofold'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y, Z, X, X ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), 'c_Finite__Set_Ofold'(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ), Y, X, X ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.39 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T
% 1.00/1.39 , U ), U, W ), hAPP( hAPP( X, Z ), V0 ) ) ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( X, Y, T, U, W ), V0 ) ) ), hBOOL( 'c_in'( Z
% 1.00/1.39 , T, U ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 1.00/1.39 T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.39 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.39 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( X, Z, Y ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 1.00/1.39 , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 1.00/1.39 'c_Set_Oinsert'( Z, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), X ), X, X ), U ) ), hBOOL( 'c_in'( Z, T, X ) ), ~(
% 1.00/1.39 hBOOL( 'c_in'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X
% 1.00/1.39 ), U ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y,
% 1.00/1.39 'c_Set_Oinsert'( Z, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), X ), X, X ), U ) ), hBOOL( 'c_in'( Z, T, X ) ), ~(
% 1.00/1.39 hBOOL( 'c_in'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Z, T, X
% 1.00/1.39 , X ), U ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 1.00/1.39 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.39 hAPP( 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), T
% 1.00/1.39 ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.39 ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Y ), Z
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( hBOOL( 'c_in'( T, Y
% 1.00/1.39 , X ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.39 ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ),
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Finite__Set_Ofold'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y, Z, X, X ) ), hBOOL( 'c_in'( Y, Z, X
% 1.00/1.39 ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Finite__Set_Ofold'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ), hBOOL( 'c_in'( Y, Z, X )
% 1.00/1.39 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 1.00/1.39 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.00/1.39 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.00/1.39 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ), =( hAPP( 'c_Finite__Set_Ofold1'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ) ), hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ), Z ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.00/1.39 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ), =( hAPP( 'c_Finite__Set_Ofold1'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Y ) ),
% 1.00/1.39 hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Z )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ), ~( 'c_Fun_Obij'( X, Y, Z ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Set_Ovimage'( Z, X, T, Y ), T ) ), ~( 'c_Fun_Obij'( Z, T, Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, T ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), 'c_Finite__Set_Ofold'( X, Y, T
% 1.00/1.39 , U, U ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, V0, V1, V2, X, V3, V4, U
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), 'c_Finite__Set_Ofold'( X, Y, T
% 1.00/1.39 , U, U ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice'( Z, W, V0, V1, X, V2, V3, V4, U
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( hAPP( X, Y ), 'c_Finite__Set_Ofold'( Z, T, Y, U, U ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, U ) ), ~(
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, Z, T, V3, U )
% 1.00/1.39 ) ],
% 1.00/1.39 [ =( hAPP( X, Y ), 'c_Finite__Set_Ofold'( Z, T, Y, U, U ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, U ) ), ~(
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, Z, V2, V3, T, U )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.00/1.39 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 1.00/1.39 [ =( 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, X ), X
% 1.00/1.39 , Y ), Z ), ~( 'c_Fun_Obij'( Z, Y, X ) ) ],
% 1.00/1.39 [ 'c_Fun_Obij'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 1.00/1.39 , X ), ~( 'c_Fun_Obij'( Y, X, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Finite__Set_Ofold1'(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Finite__Set_Ofold1'(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), X ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ),
% 1.00/1.39 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.39 Y, 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, Z, T, U ), hAPP( hAPP(
% 1.00/1.39 X, W ), V0 ) ) ), ~( hBOOL( 'c_in'( W, Z, T ) ) ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.00/1.39 'c_Set_Oinsert'( W, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), V0 ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.00/1.39 , X ), Y ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 1.00/1.39 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 1.00/1.39 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OSup__class_OSup'( Y, X ), 'c_Finite__Set_Ofold'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ), Y, X, X ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ),
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.00/1.39 ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X )
% 1.00/1.39 , X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.00/1.39 , hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ), Y
% 1.00/1.39 ) ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X
% 1.00/1.39 ), Z ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.00/1.39 ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.00/1.39 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.00/1.39 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), T ), Z ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.00/1.39 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.00/1.39 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Z ), U ), X ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.00/1.39 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.00/1.39 , X, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.00/1.39 'tc_nat' ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.39 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.00/1.39 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.39 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 1.00/1.39 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 1.00/1.39 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.00/1.39 , Y, Z, X, X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 X ), T ), Y ), X ), ~( hBOOL( 'c_in'( T, Z, X ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.39 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.00/1.39 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Z ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.00/1.39 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.39 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 1.00/1.39 , ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), Y ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.39 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.00/1.39 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.00/1.39 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.39 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.39 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.39 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , T ), X ), Y ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , X ), T ), Y ) ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.39 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.00/1.39 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.00/1.39 , Y ), Z ), Z, X ), Y ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.00/1.39 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.39 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.00/1.39 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.00/1.39 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), U, Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.39 Z, Y ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.39 Z, Y ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.39 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , T ), Y ), Z ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , Y ), T ), Z ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y,
% 1.00/1.39 'c_Set_Oinsert'( Z, T, X ), X, X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ) ), hBOOL( 'c_in'( Z, T, X )
% 1.00/1.39 ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'(
% 1.00/1.39 'c_HOL_Otimes__class_Otimes'( X ), Z, T, X, X ), U ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 1.00/1.39 'c_Set_Oinsert'( Z, T, X ), X, X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Y ), U ) ) ), hBOOL( 'c_in'( Z, T, X ) )
% 1.00/1.39 , ~( hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ), U ) ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( Z, T, X, Y, U ), W ) ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ofold'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), Y ) ],
% 1.00/1.39 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T, U ), X ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), Y ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.00/1.39 , Y, 'c_Set_Oinsert'( Z, T, X ), X, X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ),
% 1.00/1.39 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.00/1.39 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 1.00/1.39 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), X ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP( hAPP(
% 1.00/1.39 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, U ) ), 'c_Finite__Set_Osetsum'(
% 1.00/1.39 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( U,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), T, X ) ) ), ~( hBOOL( 'c_in'( U, Z, T ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.00/1.39 hBOOL( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.00/1.39 hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 1.00/1.39 , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.00/1.39 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.00/1.39 , Y, 'c_Set_Oinsert'( Z, T, X ), X, X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ),
% 1.00/1.39 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.00/1.39 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.00/1.39 'c_Set_Oinsert'( Z, X, Y ), Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 X, Y ) ) ],
% 1.00/1.39 [ =( X, Y ), ~( 'c_lessequals'( 'c_Finite__Set_Ocard'( Y, Z ),
% 1.00/1.39 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.00/1.39 Z, Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.00/1.39 , ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T
% 1.00/1.39 ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 Y, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.00/1.39 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ), 'c_Finite__Set_Ofold'(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y, Z, X, X ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.00/1.39 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 1.00/1.39 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, U ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), X ), X ), X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Set_Ovimage'( Y, X, T, U ), Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Obij'( Y, T, U ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 1.00/1.39 , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( X, Y, Z, T, T ), U ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T
% 1.00/1.39 , U ), U, U ), hAPP( hAPP( X, Y ), W ) ) ), hBOOL( 'c_in'( Z, T, U ) ),
% 1.00/1.39 ~( hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Z, T, U, U ), W ) ) ),
% 1.00/1.39 ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.00/1.39 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.00/1.39 , Z, T, X, X ), X ), ~( hBOOL( 'c_in'( Y, T, X ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 1.00/1.39 , hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), =( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 1.00/1.39 , hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), =( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ) ), hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), =( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), Y ) ), hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), =( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Oimage'(
% 1.00/1.39 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), X, Z, T ), Y, T, Z ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( 'c_in'( T, Z, U ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Y ), Z
% 1.00/1.39 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( hBOOL( 'c_in'( T, Y, X ) ) ),
% 1.00/1.39 =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y, hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.00/1.39 , X ), T ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), X ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y,
% 1.00/1.39 Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 1.00/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X
% 1.00/1.39 ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), X ),
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.00/1.39 ), Y ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X )
% 1.00/1.39 , X ), Z ) ) ), hBOOL( 'c_in'( Y, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z
% 1.00/1.39 , X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.00/1.39 , Y ), hAPP( 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), X )
% 1.00/1.39 , Z ) ) ), hBOOL( 'c_in'( Y, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X )
% 1.00/1.39 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Y ),
% 1.00/1.39 hAPP( 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Z
% 1.00/1.39 ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ), ~( 'c_lessequals'( Z, Y,
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 1.00/1.39 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'(
% 1.00/1.39 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) )
% 1.00/1.39 ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X
% 1.00/1.39 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.00/1.39 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 1.00/1.39 , Z ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.00/1.39 Z, T ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), ~(
% 1.00/1.39 'c_lessequals'( 'c_Set_Oimage'( U, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 1.00/1.39 ) ), ~( 'c_Fun_Oinj__on'( U, X, Y, T ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 1.00/1.39 'tc_fun'( U, 'tc_bool' ) ), U, X ) ), 'c_Set_Oimage'( Y,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), U, X ) ) ],
% 1.00/1.39 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 1.00/1.39 , 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ), U, X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, T, U, X ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( Y, Z, U, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), U, X ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.00/1.39 U, 'tc_bool' ) ), U ), U, U ), W ) ), hBOOL( 'c_in'( Z, T, U ) ), ~(
% 1.00/1.39 hBOOL( 'c_in'( Y, T, U ) ) ), ~( hBOOL( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold__graph'( X, Z, T, U, U ), W ) ) ), ~(
% 1.00/1.39 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), 'c_Set_Oinsert'( Z, T, Y ) )
% 1.00/1.39 , 'c_Finite__Set_Ofold'( X, Z, T, Y, Y ) ), hBOOL( 'c_in'( Z, T, Y ) ),
% 1.00/1.39 ~( 'c_Finite__Set_Ofinite'( T, Y ) ), ~(
% 1.00/1.39 'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 1.00/1.39 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ), ~(
% 1.00/1.39 'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Ofold1'( T, X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), hAPP( hAPP( T, hAPP( 'c_Finite__Set_Ofold1'( T, X ), Y ) )
% 1.00/1.39 , hAPP( 'c_Finite__Set_Ofold1'( T, X ), Z ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 1.00/1.39 Y, T ), X ) ), ~( hBOOL( 'c_in'( T, Z, U ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.00/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.00/1.39 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 1.00/1.39 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( T, Z, U ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( T,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~(
% 1.00/1.39 hBOOL( 'c_in'( T, X, Z ) ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.00/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~(
% 1.00/1.39 hBOOL( 'c_in'( Y, X, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.00/1.39 [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.00/1.39 'c_Finite__Set_Ocard'( X, Z ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.39 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.39 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.39 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 1.00/1.39 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , Y ), U ), Z, T ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , U ), Y ), Z, T ) ) ],
% 1.00/1.39 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 1.00/1.39 ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), U, Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.00/1.39 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.00/1.39 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), Y ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 1.00/1.39 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.00/1.39 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ) ],
% 1.00/1.39 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 1.00/1.39 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 1.00/1.39 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.00/1.39 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T, U ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 1.00/1.39 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 1.00/1.39 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 1.00/1.39 X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.00/1.39 X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 1.00/1.39 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), T ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 1.00/1.39 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ), X ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.39 , T, X ) ) ), =( Z, T ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ),
% 1.00/1.39 'c_Set_Oimage'( Y, U, Z, T ), T, Z ), U ), ~( 'c_lessequals'( U, X,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.00/1.39 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.00/1.39 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), Z ), 'c_The'(
% 1.00/1.39 'c_Finite__Set_Ofold1Set'( X, Z, Y ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 1.00/1.39 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( hAPP( X, Y ),
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 1.00/1.39 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.00/1.39 , V2, Z, Y ) ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.00/1.39 , Z, V2, Y ) ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.00/1.39 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 1.00/1.39 U, W ) ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.00/1.39 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 1.00/1.39 =( Y, Z ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.00/1.39 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 1.00/1.39 =( Y, Z ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.00/1.39 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 1.00/1.39 , U ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 1.00/1.39 ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 1.00/1.39 , T ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 1.00/1.39 , T ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X,
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.00/1.39 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 1.00/1.39 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X,
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.00/1.39 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 1.00/1.39 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.39 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.39 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 1.00/1.39 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 1.00/1.39 , V3, V4, U ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 1.00/1.39 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 1.00/1.39 , V3, V4, U ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.00/1.39 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.00/1.39 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.00/1.39 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.00/1.39 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ), X ), ~( hBOOL( 'c_in'( Y
% 1.00/1.39 , Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Z, X ), ~( hBOOL( 'c_in'(
% 1.00/1.39 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 1.00/1.39 'c_in'( X, T, Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 1.00/1.39 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.00/1.39 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 1.00/1.39 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 1.00/1.39 'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, W
% 1.00/1.39 , T, U ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.00/1.39 hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ),
% 1.00/1.39 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.00/1.39 , V2, Z, Y ) ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.00/1.39 , Z, V2, Y ) ) ],
% 1.00/1.39 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.00/1.39 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.00/1.39 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.00/1.39 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ), Y ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ) ), Y ), Y ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ) ],
% 1.00/1.39 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), U, T ) ), 'c_Set_Ovimage'( X, Z, U, T )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), X ), X ), X ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ),
% 1.00/1.39 'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 1.00/1.39 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 1.00/1.39 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.00/1.39 , Z ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 1.00/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 1.00/1.39 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 1.00/1.39 V2, V3, V4, T ) ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 1.00/1.39 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 1.00/1.39 , U, V3, V4, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), Y ), T ), X ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), Z ), T ), X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.39 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 1.00/1.39 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 1.00/1.39 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.00/1.39 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.00/1.39 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, Z
% 1.00/1.39 , T, U ) ), hAPP( Z, 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X
% 1.00/1.39 , Z, T, U ) ) ) ), =( 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( Z, Y
% 1.00/1.39 , T, U ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( hAPP( 'v_P', X ), Y ) ), ~( 'c_lessequals'( Y, X,
% 1.00/1.39 'tc_fun'( 't_a', 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 1.00/1.39 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 1.00/1.39 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.00/1.39 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( X, T, Z ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 1.00/1.39 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 1.00/1.39 'c_in'( Y, X, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 1.00/1.39 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 1.00/1.39 'c_in'( Y, X, T ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.00/1.39 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 1.00/1.39 T, X, Z ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.00/1.39 hBOOL( 'c_in'( X, T, Z ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 1.00/1.39 'c_Finite__Set_Ocard'( X, Z ) ), hBOOL( 'c_in'( Y, X, Z ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), 'c_Set_Oinsert'( Z, T, Y ) )
% 1.00/1.39 , hAPP( hAPP( X, Z ), hAPP( 'c_Finite__Set_Ofold1'( X, Y ), T ) ) ),
% 1.00/1.39 hBOOL( 'c_in'( Z, T, Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), =( T,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Set__XimageE__1__1'( Z, X, Y, T, U
% 1.00/1.39 ) ) ), ~( hBOOL( 'c_in'( X, 'c_Set_Oimage'( Y, Z, T, U ), U ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 1.00/1.39 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Set__Ximage__iff__1__1'( X, Y, Z,
% 1.00/1.39 T, U ), X, T ) ), ~( hBOOL( 'c_in'( Z, 'c_Set_Oimage'( Y, X, T, U ), U )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 1.00/1.39 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 1.00/1.39 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ) ) ],
% 1.00/1.39 [ =( 'c_Collect'( X, Y ), X ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.00/1.39 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.00/1.39 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 1.00/1.39 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), hAPP( Y, U ) )
% 1.00/1.39 , U ), ~( hBOOL( 'c_in'( U, X, Z ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( 'c_Fun_Oinj__on'( T, Y, Z, U ) ),
% 1.00/1.39 =( hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, T, Z, U ), hAPP( T, X ) ), X
% 1.00/1.39 ) ],
% 1.00/1.39 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.39 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.00/1.39 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 1.00/1.39 , U ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.00/1.39 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 1.00/1.39 , U ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.00/1.39 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 1.00/1.39 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 1.00/1.39 ), =( Y, W ) ],
% 1.00/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.00/1.39 Y, Z ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ),
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.00/1.39 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T,
% 1.00/1.39 Z ), ~( 'c_lessequals'( U, 'c_Set_Oimage'( Y, X, Z, T ), 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 1.00/1.39 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 1.00/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.39 ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.39 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.00/1.39 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.00/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.39 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), Z ), X ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.39 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , hAPP( T, X ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.39 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.00/1.39 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.00/1.39 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.00/1.39 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.00/1.39 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 1.00/1.39 Z, Y, X ) ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 1.00/1.39 ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 1.00/1.39 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.00/1.39 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.00/1.39 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 1.00/1.39 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 1.00/1.39 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.39 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.39 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.39 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 1.00/1.39 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 1.00/1.39 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 1.00/1.39 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 1.00/1.39 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ),
% 1.00/1.39 hAPP( X, T ) ), T ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.00/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 1.00/1.39 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.00/1.39 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 1.00/1.39 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.39 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.39 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 1.00/1.39 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.00/1.39 U, 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.00/1.39 X, T, U ), Z ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.00/1.39 hAPP( X, U ) ) ) ) ],
% 1.00/1.39 [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.00/1.39 , Y ) ],
% 1.00/1.39 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.00/1.39 , Y ) ],
% 1.00/1.39 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( X, T, Y ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.00/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 1.00/1.39 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 1.00/1.39 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.39 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.00/1.39 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 1.00/1.39 Y, Z, X ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.39 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.39 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 1.00/1.39 , U ), ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( U, Y, Z, T ) ), hBOOL(
% 1.00/1.39 'c_in'( 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1'( Y, X, U, Z, T ), Y
% 1.00/1.39 , Z ) ) ],
% 1.00/1.39 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Set__Ximage__iff__1__1'( Z, Y, X,
% 1.00/1.39 T, U ) ) ), ~( hBOOL( 'c_in'( X, 'c_Set_Oimage'( Y, Z, T, U ), U ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Set__XimageE__1__1'( X, Y, Z, T, U
% 1.00/1.39 ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Set_Oimage'( Z, X, T, U ), U ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 1.00/1.39 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP(
% 1.00/1.39 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~(
% 1.00/1.39 hBOOL( 'c_in'( W, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ), ~( hBOOL( 'c_in'(
% 1.00/1.39 U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U )
% 1.00/1.39 , X, Z ) ), ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.00/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 1.00/1.39 ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 1.00/1.39 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( hBOOL(
% 1.00/1.39 'c_in'( Y, W, T ) ) ) ],
% 1.00/1.39 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'(
% 1.00/1.39 hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~(
% 1.00/1.39 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 1.00/1.39 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, T ), T, U ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 1.00/1.39 , 'tc_bool' ) ), T ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), Z ) ) ],
% 1.00/1.39 [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ],
% 1.00/1.39 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.00/1.39 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.00/1.39 Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 1.00/1.39 ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 1.00/1.39 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 1.00/1.39 ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 1.00/1.39 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.00/1.39 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 1.00/1.39 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 1.00/1.39 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.00/1.39 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z,
% 1.00/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 1.00/1.39 ],
% 1.00/1.39 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ),
% 1.00/1.39 ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), 'c_Set_Oinsert'( Z,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Z ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 1.00/1.39 Y, Z ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 1.00/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.39 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ) ), Y ) ) ],
% 1.00/1.39 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.39 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 1.00/1.39 ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.00/1.39 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 1.00/1.39 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 1.00/1.39 , U ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 1.00/1.39 ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( hAPP(
% 1.00/1.39 'v_mgt__call', 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U',
% 1.00/1.39 'v_mgt__call' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 1.00/1.39 'tc_bool' ) ), 't_a' ) ) ) ), ~( 'v_wt'( Y ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 1.00/1.39 ), hBOOL( 'c_in'( 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U',
% 1.00/1.39 'v_mgt__call' ), 'v_U', 'tc_Com_Opname' ) ), ~( 'v_wt'( Y ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Y, X ) ), =( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'( hAPP(
% 1.00/1.39 'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Y, X ) ), =( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.39 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.00/1.39 'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 1.00/1.39 'c_in'( X, Y, Z ) ) ) ],
% 1.00/1.39 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 1.00/1.39 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.39 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 1.00/1.39 T ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~(
% 1.00/1.39 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 1.00/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 1.00/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 1.00/1.39 , Z ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 1.00/1.39 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 1.00/1.39 X, Z, T ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 1.00/1.39 X, Z, T ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.00/1.39 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.00/1.39 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.39 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.00/1.39 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.00/1.39 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.39 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 1.00/1.39 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 1.00/1.39 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.39 ) ), Y ) ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.39 'tc_bool' ) ), X ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 1.00/1.39 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.39 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.00/1.39 X, T ), Y ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.39 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 1.00/1.39 ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.39 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.39 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.39 'tc_bool' ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.00/1.39 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.00/1.39 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 1.00/1.39 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 1.00/1.39 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.00/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.00/1.39 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 1.00/1.39 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.39 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.00/1.39 ) ), Z, X ) ) ],
% 1.00/1.39 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.00/1.39 Y, X ) ],
% 1.00/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.00/1.39 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.00/1.39 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.00/1.39 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.00/1.39 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.00/1.39 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.00/1.39 [ 'c_Finite__Set_Ofinite'( 'v_U', 'tc_Com_Opname' ) ],
% 1.00/1.39 [ =( 'v_G', 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname', 't_a'
% 1.00/1.39 ) ) ],
% 1.00/1.39 [ hBOOL( 'c_in'( 'v_x', 'v_U', 'tc_Com_Opname' ) ) ],
% 1.00/1.39 [ ~( hBOOL( hAPP( hAPP( 'v_P', 'c_Set_Oimage'( 'v_mgt__call', 'v_U',
% 1.00/1.39 'tc_Com_Opname', 't_a' ) ), 'c_Set_Oinsert'( hAPP( 'v_mgt__call', 'v_x' )
% 1.00/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' )
% 1.00/1.39 ) ) ) ],
% 1.00/1.39 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.39 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.00/1.39 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.39 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.39 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.39 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.39 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.39 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.00/1.39 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.39 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.00/1.39 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.39 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.00/1.39 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.00/1.39 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.39 'class_Orderings_Opreorder'( Y ) ) ],
% 1.00/1.39 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.39 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.39 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.39 'class_Orderings_Oorder'( Y ) ) ],
% 1.00/1.39 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.00/1.39 Y ) ) ],
% 1.00/1.39 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.00/1.39 Y ) ) ],
% 1.00/1.39 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.00/1.39 ,
% 1.00/1.39 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.00/1.39 ],
% 1.00/1.39 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.00/1.39 ) ],
% 1.00/1.39 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.39 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.39 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.39 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.00/1.39 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.00/1.39 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.39 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.00/1.39 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.39 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.00/1.40 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.00/1.40 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.00/1.40 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 1.00/1.40 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 1.00/1.40 ] .
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 percentage equality = 0.253716, percentage horn = 0.868323
% 1.00/1.40 This is a problem with some equality
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40
% 1.00/1.40 Options Used:
% 1.00/1.40
% 1.00/1.40 useres = 1
% 1.00/1.40 useparamod = 1
% 1.00/1.40 useeqrefl = 1
% 1.00/1.40 useeqfact = 1
% 1.00/1.40 usefactor = 1
% 1.00/1.40 usesimpsplitting = 0
% 1.00/1.40 usesimpdemod = 5
% 1.00/1.40 usesimpres = 3
% 1.00/1.40
% 1.00/1.40 resimpinuse = 1000
% 1.00/1.40 resimpclauses = 20000
% 1.00/1.40 substype = eqrewr
% 1.00/1.40 backwardsubs = 1
% 1.00/1.40 selectoldest = 5
% 1.00/1.40
% 1.00/1.40 litorderings [0] = split
% 1.00/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.40
% 1.00/1.40 termordering = kbo
% 1.00/1.40
% 1.00/1.40 litapriori = 0
% 1.00/1.40 termapriori = 1
% 1.00/1.40 litaposteriori = 0
% 1.00/1.40 termaposteriori = 0
% 1.00/1.40 demodaposteriori = 0
% 1.00/1.40 ordereqreflfact = 0
% 1.00/1.40
% 1.00/1.40 litselect = negord
% 1.00/1.40
% 1.00/1.40 maxweight = 15
% 1.00/1.40 maxdepth = 30000
% 1.00/1.40 maxlength = 115
% 1.00/1.40 maxnrvars = 195
% 1.00/1.40 excuselevel = 1
% 1.00/1.40 increasemaxweight = 1
% 1.00/1.40
% 1.00/1.40 maxselected = 10000000
% 1.00/1.40 maxnrclauses = 10000000
% 1.00/1.40
% 1.00/1.40 showgenerated = 0
% 1.00/1.40 showkept = 0
% 1.00/1.40 showselected = 0
% 1.00/1.40 showdeleted = 0
% 1.00/1.40 showresimp = 1
% 1.00/1.40 showstatus = 2000
% 1.00/1.40
% 1.00/1.40 prologoutput = 1
% 1.00/1.40 nrgoals = 5000000
% 1.00/1.40 totalproof = 1
% 1.00/1.40
% 1.00/1.40 Symbols occurring in the translation:
% 1.00/1.40
% 1.00/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.40 . [1, 2] (w:1, o:133, a:1, s:1, b:0),
% 1.00/1.40 ! [4, 1] (w:0, o:76, a:1, s:1, b:0),
% 1.00/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.40 'class_Orderings_Opreorder' [40, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.00/1.40 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.00/1.40 'c_lessequals' [44, 3] (w:1, o:172, a:1, s:1, b:0),
% 1.00/1.40 'class_Orderings_Oorder' [45, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.00/1.40 'tc_bool' [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.00/1.40 'tc_fun' [47, 2] (w:1, o:158, a:1, s:1, b:0),
% 1.00/1.40 'c_Lattices_Olower__semilattice__class_Oinf' [48, 1] (w:1, o:83, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 'c_SetInterval_Oord__class_OatLeastLessThan' [51, 3] (w:1, o:173, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 hAPP [52, 2] (w:1, o:159, a:1, s:1, b:0),
% 1.00/1.40 'c_SetInterval_Oord__class_OatLeastAtMost' [54, 3] (w:1, o:174, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 'c_Orderings_Obot__class_Obot' [55, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.00/1.40 'c_HOL_Ominus__class_Ominus' [59, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.00/1.40 'c_Orderings_Otop__class_Otop' [60, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.00/1.40 'class_Lattices_Obounded__lattice' [61, 1] (w:1, o:86, a:1, s:1, b:0)
% 1.00/1.40 ,
% 1.00/1.40 'class_Ring__and__Field_Ocomm__semiring__1' [62, 1] (w:1, o:87, a:1
% 1.00/1.40 , s:1, b:0),
% 1.00/1.40 'c_HOL_Otimes__class_Otimes' [63, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.00/1.40 'c_Suc' [69, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.00/1.40 'tc_nat' [70, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.00/1.40 'class_Ring__and__Field_Oidom' [71, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.00/1.40 'class_Int_Onumber__ring' [72, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.00/1.40 'c_HOL_Oplus__class_Oplus' [73, 1] (w:1, o:94, a:1, s:1, b:0),
% 3.83/4.20 'class_Orderings_Olinorder' [80, 1] (w:1, o:95, a:1, s:1, b:0),
% 3.83/4.20 'c_Orderings_Oord__class_Omin' [81, 1] (w:1, o:96, a:1, s:1, b:0),
% 3.83/4.20 'class_Lattices_Oupper__semilattice' [82, 1] (w:1, o:97, a:1, s:1, b:
% 3.83/4.20 0),
% 3.83/4.20 'c_Lattices_Oupper__semilattice__class_Osup' [83, 1] (w:1, o:98, a:1
% 3.83/4.20 , s:1, b:0),
% 3.83/4.20 'c_Orderings_Oord__class_Omax' [84, 1] (w:1, o:99, a:1, s:1, b:0),
% 3.83/4.20 'class_Lattices_Olower__semilattice' [85, 1] (w:1, o:100, a:1, s:1
% 3.83/4.20 , b:0),
% 3.83/4.20 'class_Lattices_Olattice' [86, 1] (w:1, o:101, a:1, s:1, b:0),
% 3.83/4.20 'class_OrderedGroup_Ocomm__monoid__add' [88, 1] (w:1, o:102, a:1, s:1
% 3.83/4.20 , b:0),
% 3.83/4.20 'c_Finite__Set_Ofinite' [89, 2] (w:1, o:160, a:1, s:1, b:0),
% 3.83/4.20 'c_Finite__Set_Osetsum' [91, 4] (w:1, o:182, a:1, s:1, b:0),
% 3.83/4.20 'class_Ring__and__Field_Opordered__ring' [92, 1] (w:1, o:105, a:1, s:
% 3.83/4.20 1, b:0),
% 3.83/4.20 'c_Finite__Set_Ofold' [97, 5] (w:1, o:189, a:1, s:1, b:0),
% 3.83/4.20 'c_Finite__Set_Ofold__graph' [98, 5] (w:1, o:190, a:1, s:1, b:0),
% 3.83/4.20 'c_The' [99, 2] (w:1, o:162, a:1, s:1, b:0),
% 3.83/4.20 'class_HOL_Oord' [100, 1] (w:1, o:91, a:1, s:1, b:0),
% 3.83/4.20 'class_Ring__and__Field_Oordered__idom' [101, 1] (w:1, o:103, a:1, s:
% 3.83/4.20 1, b:0),
% 3.83/4.20 hBOOL [103, 1] (w:1, o:106, a:1, s:1, b:0),
% 3.83/4.20 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [104, 1]
% 3.83/4.20 (w:1, o:107, a:1, s:1, b:0),
% 3.83/4.20 'class_OrderedGroup_Oab__group__add' [105, 1] (w:1, o:108, a:1, s:1
% 3.83/4.20 , b:0),
% 3.83/4.20 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [109, 1]
% 3.83/4.20 (w:1, o:109, a:1, s:1, b:0),
% 3.83/4.20 'class_OrderedGroup_Opordered__ab__semigroup__add' [110, 1] (w:1, o:
% 3.83/4.20 110, a:1, s:1, b:0),
% 3.83/4.20 'class_OrderedGroup_Oab__semigroup__idem__mult' [111, 1] (w:1, o:111
% 3.83/4.20 , a:1, s:1, b:0),
% 3.83/4.20 'class_Lattices_Odistrib__lattice' [112, 1] (w:1, o:112, a:1, s:1, b:
% 3.83/4.20 0),
% 3.83/4.20 'c_SetInterval_Oord__class_OgreaterThanAtMost' [113, 3] (w:1, o:176
% 3.83/4.20 , a:1, s:1, b:0),
% 3.83/4.20 't_a' [114, 0] (w:1, o:54, a:1, s:1, b:0),
% 3.83/4.20 'v_x' [115, 0] (w:1, o:55, a:1, s:1, b:0),
% 3.83/4.20 'class_OrderedGroup_Opordered__ab__group__add' [116, 1] (w:1, o:113
% 3.83/4.20 , a:1, s:1, b:0),
% 3.83/4.20 'class_OrderedGroup_Olordered__ab__group__add' [120, 1] (w:1, o:114
% 3.83/4.20 , a:1, s:1, b:0),
% 3.83/4.20 'c_Finite__Set_Ocard' [121, 2] (w:1, o:163, a:1, s:1, b:0),
% 3.83/4.20 'class_Ring__and__Field_Oring' [122, 1] (w:1, o:115, a:1, s:1, b:0),
% 3.83/4.20
% 3.83/4.20 'class_OrderedGroup_Ogroup__add' [123, 1] (w:1, o:116, a:1, s:1, b:0)
% 3.83/4.20 ,
% 3.83/4.20 'class_OrderedGroup_Olordered__ab__group__add__join' [124, 1] (w:1
% 3.83/4.20 , o:117, a:1, s:1, b:0),
% 3.83/4.20 'class_Complete__Lattice_Ocomplete__lattice' [125, 1] (w:1, o:118, a:
% 3.83/4.20 1, s:1, b:0),
% 3.83/4.20 'c_Complete__Lattice_OInf__class_OInf' [126, 2] (w:1, o:165, a:1, s:1
% 3.83/4.20 , b:0),
% 3.83/4.20 'class_OrderedGroup_Oab__semigroup__add' [127, 1] (w:1, o:119, a:1
% 3.83/4.20 , s:1, b:0),
% 3.83/4.20 'class_OrderedGroup_Olordered__ab__group__add__meet' [128, 1] (w:1
% 3.83/4.20 , o:120, a:1, s:1, b:0),
% 3.83/4.20 'class_OrderedGroup_Oab__semigroup__mult' [129, 1] (w:1, o:121, a:1
% 3.83/4.20 , s:1, b:0),
% 3.83/4.20 'class_Ring__and__Field_Ocomm__semiring' [130, 1] (w:1, o:122, a:1
% 3.83/4.20 , s:1, b:0),
% 3.83/4.20 'c_Set_Oinsert' [132, 3] (w:1, o:177, a:1, s:1, b:0),
% 3.83/4.20 'c_in' [133, 3] (w:1, o:178, a:1, s:1, b:0),
% 3.83/4.20 'c_Finite__Set_Ofold1' [134, 2] (w:1, o:166, a:1, s:1, b:0),
% 3.83/4.20 'c_Collect' [135, 2] (w:1, o:164, a:1, s:1, b:0),
% 3.83/4.20 'c_Set_Oimage' [137, 4] (w:1, o:183, a:1, s:1, b:0),
% 3.83/4.20 'c_Fun_Oinj__on' [138, 4] (w:1, o:184, a:1, s:1, b:0),
% 3.83/4.20 'c_Fun_Obij' [139, 3] (w:1, o:179, a:1, s:1, b:0),
% 3.83/4.20 'c_Set_Ovimage' [141, 4] (w:1, o:185, a:1, s:1, b:0),
% 3.83/4.20 'c_Complete__Lattice_Ocomplete__lattice' [150, 9] (w:1, o:195, a:1
% 3.83/4.20 , s:1, b:0),
% 3.83/4.20 'c_Hilbert__Choice_Oinv__into' [151, 4] (w:1, o:186, a:1, s:1, b:0),
% 3.83/4.20
% 3.83/4.20 'c_Finite__Set_Olinorder__class_OMax' [152, 1] (w:1, o:123, a:1, s:1
% 3.83/4.20 , b:0),
% 3.83/4.20 'c_Finite__Set_Olinorder__class_OMin' [153, 1] (w:1, o:124, a:1, s:1
% 3.83/4.20 , b:0),
% 3.83/4.20 'c_Complete__Lattice_OSup__class_OSup' [154, 2] (w:1, o:167, a:1, s:1
% 3.83/4.20 , b:0),
% 3.83/4.20 'class_Ring__and__Field_Osemiring' [155, 1] (w:1, o:125, a:1, s:1, b:
% 33.45/33.86 0),
% 33.45/33.86 'class_OrderedGroup_Ocancel__ab__semigroup__add' [156, 1] (w:1, o:126
% 33.45/33.86 , a:1, s:1, b:0),
% 33.45/33.86 'class_OrderedGroup_Ocancel__semigroup__add' [157, 1] (w:1, o:127, a:
% 33.45/33.86 1, s:1, b:0),
% 33.45/33.86 'class_Ring__and__Field_Oordered__ring__strict' [158, 1] (w:1, o:104
% 33.45/33.86 , a:1, s:1, b:0),
% 33.45/33.86 'c_Finite__Set_Ofold1Set' [160, 3] (w:1, o:180, a:1, s:1, b:0),
% 33.45/33.86 'c_OrderedGroup_Oab__semigroup__mult' [162, 2] (w:1, o:169, a:1, s:1
% 33.45/33.86 , b:0),
% 33.45/33.86 'c_Fun_Ofun__upd' [164, 5] (w:1, o:191, a:1, s:1, b:0),
% 33.45/33.86 'class_HOL_Ominus' [166, 1] (w:1, o:92, a:1, s:1, b:0),
% 33.45/33.86 'c_COMBK' [168, 3] (w:1, o:181, a:1, s:1, b:0),
% 33.45/33.86 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [169, 4] (w:1
% 33.45/33.86 , o:187, a:1, s:1, b:0),
% 33.45/33.86 'class_Finite__Set_Ofinite_Ofinite' [173, 1] (w:1, o:128, a:1, s:1
% 33.45/33.86 , b:0),
% 33.45/33.86 'class_Orderings_Obot' [174, 1] (w:1, o:129, a:1, s:1, b:0),
% 33.45/33.86 'c_ATP__Linkup_Osko__Set__Ximage__cong__1__1' [175, 5] (w:1, o:192
% 33.45/33.86 , a:1, s:1, b:0),
% 33.45/33.86 'v_P' [176, 0] (w:1, o:67, a:1, s:1, b:0),
% 33.45/33.86 'c_ATP__Linkup_Osko__Set__XimageE__1__1' [178, 5] (w:1, o:193, a:1
% 33.45/33.86 , s:1, b:0),
% 33.45/33.86 'c_ATP__Linkup_Osko__Set__Ximage__iff__1__1' [179, 5] (w:1, o:194, a:
% 33.45/33.86 1, s:1, b:0),
% 33.45/33.86 'class_Orderings_Otop' [182, 1] (w:1, o:130, a:1, s:1, b:0),
% 33.45/33.86 'c_fequal' [183, 2] (w:1, o:170, a:1, s:1, b:0),
% 33.45/33.86 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [184, 2] (w:1, o:168, a:1
% 33.45/33.86 , s:1, b:0),
% 33.45/33.86 'c_Set_Ocontents' [185, 2] (w:1, o:161, a:1, s:1, b:0),
% 33.45/33.86 'v_mgt' [186, 1] (w:1, o:131, a:1, s:1, b:0),
% 33.45/33.86 'v_mgt__call' [187, 0] (w:1, o:69, a:1, s:1, b:0),
% 33.45/33.86 'v_U' [188, 0] (w:1, o:70, a:1, s:1, b:0),
% 33.45/33.86 'v_sko__local__Xassms__3__1' [189, 4] (w:1, o:188, a:1, s:1, b:0),
% 33.45/33.86 'v_wt' [190, 1] (w:1, o:132, a:1, s:1, b:0),
% 33.45/33.86 'tc_Com_Opname' [191, 0] (w:1, o:71, a:1, s:1, b:0),
% 33.45/33.86 'v_G' [192, 0] (w:1, o:72, a:1, s:1, b:0).
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Starting Search:
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 6330
% 33.45/33.86 Kept: 2004
% 33.45/33.86 Inuse: 125
% 33.45/33.86 Deleted: 6
% 33.45/33.86 Deletedinuse: 0
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 13485
% 33.45/33.86 Kept: 4119
% 33.45/33.86 Inuse: 215
% 33.45/33.86 Deleted: 6
% 33.45/33.86 Deletedinuse: 0
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 25372
% 33.45/33.86 Kept: 6445
% 33.45/33.86 Inuse: 263
% 33.45/33.86 Deleted: 8
% 33.45/33.86 Deletedinuse: 0
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 34341
% 33.45/33.86 Kept: 8515
% 33.45/33.86 Inuse: 342
% 33.45/33.86 Deleted: 9
% 33.45/33.86 Deletedinuse: 0
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 45299
% 33.45/33.86 Kept: 10568
% 33.45/33.86 Inuse: 421
% 33.45/33.86 Deleted: 16
% 33.45/33.86 Deletedinuse: 6
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 56233
% 33.45/33.86 Kept: 12612
% 33.45/33.86 Inuse: 478
% 33.45/33.86 Deleted: 25
% 33.45/33.86 Deletedinuse: 12
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 66560
% 33.45/33.86 Kept: 15029
% 33.45/33.86 Inuse: 525
% 33.45/33.86 Deleted: 25
% 33.45/33.86 Deletedinuse: 12
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 76369
% 33.45/33.86 Kept: 17468
% 33.45/33.86 Inuse: 558
% 33.45/33.86 Deleted: 26
% 33.45/33.86 Deletedinuse: 13
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 91294
% 33.45/33.86 Kept: 20383
% 33.45/33.86 Inuse: 621
% 33.45/33.86 Deleted: 28
% 33.45/33.86 Deletedinuse: 13
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying clauses:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 102397
% 33.45/33.86 Kept: 22384
% 33.45/33.86 Inuse: 654
% 33.45/33.86 Deleted: 388
% 33.45/33.86 Deletedinuse: 13
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 112835
% 33.45/33.86 Kept: 24424
% 33.45/33.86 Inuse: 699
% 33.45/33.86 Deleted: 395
% 33.45/33.86 Deletedinuse: 13
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 123841
% 33.45/33.86 Kept: 26551
% 33.45/33.86 Inuse: 756
% 33.45/33.86 Deleted: 403
% 33.45/33.86 Deletedinuse: 13
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86 Resimplifying inuse:
% 33.45/33.86 Done
% 33.45/33.86
% 33.45/33.86
% 33.45/33.86 Intermediate Status:
% 33.45/33.86 Generated: 135957
% 33.45/33.86 Kept: 28560
% 33.45/33.86 Inuse: 781
% 33.45/33.86 Deleted: 543
% 33.45/33.86 Deletedinuse: 151
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 144375
% 91.82/92.23 Kept: 30562
% 91.82/92.23 Inuse: 823
% 91.82/92.23 Deleted: 544
% 91.82/92.23 Deletedinuse: 151
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 155105
% 91.82/92.23 Kept: 32653
% 91.82/92.23 Inuse: 891
% 91.82/92.23 Deleted: 547
% 91.82/92.23 Deletedinuse: 152
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 164968
% 91.82/92.23 Kept: 35397
% 91.82/92.23 Inuse: 898
% 91.82/92.23 Deleted: 575
% 91.82/92.23 Deletedinuse: 152
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 179533
% 91.82/92.23 Kept: 39582
% 91.82/92.23 Inuse: 901
% 91.82/92.23 Deleted: 582
% 91.82/92.23 Deletedinuse: 152
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 187389
% 91.82/92.23 Kept: 41617
% 91.82/92.23 Inuse: 905
% 91.82/92.23 Deleted: 583
% 91.82/92.23 Deletedinuse: 152
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying clauses:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 197503
% 91.82/92.23 Kept: 43666
% 91.82/92.23 Inuse: 950
% 91.82/92.23 Deleted: 4506
% 91.82/92.23 Deletedinuse: 152
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 209167
% 91.82/92.23 Kept: 45677
% 91.82/92.23 Inuse: 1000
% 91.82/92.23 Deleted: 4506
% 91.82/92.23 Deletedinuse: 152
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 217868
% 91.82/92.23 Kept: 47701
% 91.82/92.23 Inuse: 1035
% 91.82/92.23 Deleted: 4507
% 91.82/92.23 Deletedinuse: 153
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 227914
% 91.82/92.23 Kept: 49824
% 91.82/92.23 Inuse: 1070
% 91.82/92.23 Deleted: 4507
% 91.82/92.23 Deletedinuse: 153
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 240155
% 91.82/92.23 Kept: 52701
% 91.82/92.23 Inuse: 1099
% 91.82/92.23 Deleted: 4507
% 91.82/92.23 Deletedinuse: 153
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 269825
% 91.82/92.23 Kept: 56757
% 91.82/92.23 Inuse: 1125
% 91.82/92.23 Deleted: 4508
% 91.82/92.23 Deletedinuse: 154
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 294755
% 91.82/92.23 Kept: 59430
% 91.82/92.23 Inuse: 1130
% 91.82/92.23 Deleted: 4508
% 91.82/92.23 Deletedinuse: 154
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 308768
% 91.82/92.23 Kept: 61989
% 91.82/92.23 Inuse: 1170
% 91.82/92.23 Deleted: 4508
% 91.82/92.23 Deletedinuse: 154
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying clauses:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 317743
% 91.82/92.23 Kept: 64062
% 91.82/92.23 Inuse: 1190
% 91.82/92.23 Deleted: 4863
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 338456
% 91.82/92.23 Kept: 66842
% 91.82/92.23 Inuse: 1229
% 91.82/92.23 Deleted: 4863
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 359666
% 91.82/92.23 Kept: 70388
% 91.82/92.23 Inuse: 1270
% 91.82/92.23 Deleted: 4863
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 386208
% 91.82/92.23 Kept: 73191
% 91.82/92.23 Inuse: 1280
% 91.82/92.23 Deleted: 4863
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 405070
% 91.82/92.23 Kept: 76218
% 91.82/92.23 Inuse: 1285
% 91.82/92.23 Deleted: 4863
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 423434
% 91.82/92.23 Kept: 78363
% 91.82/92.23 Inuse: 1300
% 91.82/92.23 Deleted: 4863
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 444082
% 91.82/92.23 Kept: 81670
% 91.82/92.23 Inuse: 1334
% 91.82/92.23 Deleted: 4863
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying clauses:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 460648
% 91.82/92.23 Kept: 83752
% 91.82/92.23 Inuse: 1365
% 91.82/92.23 Deleted: 5152
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 471783
% 91.82/92.23 Kept: 85967
% 91.82/92.23 Inuse: 1375
% 91.82/92.23 Deleted: 5152
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 485594
% 91.82/92.23 Kept: 87991
% 91.82/92.23 Inuse: 1409
% 91.82/92.23 Deleted: 5152
% 91.82/92.23 Deletedinuse: 155
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23 Resimplifying inuse:
% 91.82/92.23 Done
% 91.82/92.23
% 91.82/92.23
% 91.82/92.23 Intermediate Status:
% 91.82/92.23 Generated: 492584
% 91.82/92.23 Kept: 90002
% 91.82/92.23 Inuse: 1427
% 91.82/92.23 Deleted: 5152
% 91.82/92.23 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 500529
% 178.74/179.12 Kept: 92094
% 178.74/179.12 Inuse: 1450
% 178.74/179.12 Deleted: 5152
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 509706
% 178.74/179.12 Kept: 94146
% 178.74/179.12 Inuse: 1479
% 178.74/179.12 Deleted: 5152
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 529248
% 178.74/179.12 Kept: 98325
% 178.74/179.12 Inuse: 1500
% 178.74/179.12 Deleted: 5152
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 539191
% 178.74/179.12 Kept: 100336
% 178.74/179.12 Inuse: 1530
% 178.74/179.12 Deleted: 5152
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying clauses:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 549490
% 178.74/179.12 Kept: 102342
% 178.74/179.12 Inuse: 1558
% 178.74/179.12 Deleted: 5369
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 565234
% 178.74/179.12 Kept: 105571
% 178.74/179.12 Inuse: 1560
% 178.74/179.12 Deleted: 5369
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 576424
% 178.74/179.12 Kept: 107820
% 178.74/179.12 Inuse: 1585
% 178.74/179.12 Deleted: 5369
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 597325
% 178.74/179.12 Kept: 117559
% 178.74/179.12 Inuse: 1599
% 178.74/179.12 Deleted: 5369
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 608849
% 178.74/179.12 Kept: 121933
% 178.74/179.12 Inuse: 1611
% 178.74/179.12 Deleted: 5369
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 618648
% 178.74/179.12 Kept: 123945
% 178.74/179.12 Inuse: 1615
% 178.74/179.12 Deleted: 5369
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying clauses:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 628746
% 178.74/179.12 Kept: 126006
% 178.74/179.12 Inuse: 1620
% 178.74/179.12 Deleted: 5429
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 678472
% 178.74/179.12 Kept: 128856
% 178.74/179.12 Inuse: 1645
% 178.74/179.12 Deleted: 5429
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 711721
% 178.74/179.12 Kept: 131288
% 178.74/179.12 Inuse: 1675
% 178.74/179.12 Deleted: 5429
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 755532
% 178.74/179.12 Kept: 135856
% 178.74/179.12 Inuse: 1685
% 178.74/179.12 Deleted: 5429
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 762954
% 178.74/179.12 Kept: 137856
% 178.74/179.12 Inuse: 1706
% 178.74/179.12 Deleted: 5429
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 770314
% 178.74/179.12 Kept: 139994
% 178.74/179.12 Inuse: 1725
% 178.74/179.12 Deleted: 5429
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 779150
% 178.74/179.12 Kept: 142133
% 178.74/179.12 Inuse: 1750
% 178.74/179.12 Deleted: 5429
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 790143
% 178.74/179.12 Kept: 145095
% 178.74/179.12 Inuse: 1755
% 178.74/179.12 Deleted: 5429
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying clauses:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 802353
% 178.74/179.12 Kept: 147164
% 178.74/179.12 Inuse: 1780
% 178.74/179.12 Deleted: 5621
% 178.74/179.12 Deletedinuse: 155
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 820660
% 178.74/179.12 Kept: 150893
% 178.74/179.12 Inuse: 1803
% 178.74/179.12 Deleted: 5624
% 178.74/179.12 Deletedinuse: 156
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 833308
% 178.74/179.12 Kept: 153451
% 178.74/179.12 Inuse: 1813
% 178.74/179.12 Deleted: 5624
% 178.74/179.12 Deletedinuse: 156
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 844321
% 178.74/179.12 Kept: 155483
% 178.74/179.12 Inuse: 1842
% 178.74/179.12 Deleted: 5624
% 178.74/179.12 Deletedinuse: 156
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 854410
% 178.74/179.12 Kept: 157642
% 178.74/179.12 Inuse: 1863
% 178.74/179.12 Deleted: 5624
% 178.74/179.12 Deletedinuse: 156
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 868120
% 178.74/179.12 Kept: 159857
% 178.74/179.12 Inuse: 1888
% 178.74/179.12 Deleted: 5624
% 178.74/179.12 Deletedinuse: 156
% 178.74/179.12
% 178.74/179.12 Resimplifying inuse:
% 178.74/179.12 Done
% 178.74/179.12
% 178.74/179.12
% 178.74/179.12 Intermediate Status:
% 178.74/179.12 Generated: 885645
% 178.74/179.12 Kept: 163114
% 178.74/179.12 Inuse: 1903
% 178.74/179.12 Deleted: 5624
% 286.30/286.72 Deletedinuse: 156
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 907992
% 286.30/286.72 Kept: 167214
% 286.30/286.72 Inuse: 1908
% 286.30/286.72 Deleted: 5624
% 286.30/286.72 Deletedinuse: 156
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying clauses:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 933410
% 286.30/286.72 Kept: 169216
% 286.30/286.72 Inuse: 1935
% 286.30/286.72 Deleted: 5999
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 942657
% 286.30/286.72 Kept: 171458
% 286.30/286.72 Inuse: 1958
% 286.30/286.72 Deleted: 5999
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 956499
% 286.30/286.72 Kept: 174965
% 286.30/286.72 Inuse: 1968
% 286.30/286.72 Deleted: 5999
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 968350
% 286.30/286.72 Kept: 177870
% 286.30/286.72 Inuse: 1973
% 286.30/286.72 Deleted: 5999
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 991782
% 286.30/286.72 Kept: 180214
% 286.30/286.72 Inuse: 1978
% 286.30/286.72 Deleted: 5999
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 999841
% 286.30/286.72 Kept: 182246
% 286.30/286.72 Inuse: 1996
% 286.30/286.72 Deleted: 5999
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1006050
% 286.30/286.72 Kept: 184269
% 286.30/286.72 Inuse: 2008
% 286.30/286.72 Deleted: 5999
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1015084
% 286.30/286.72 Kept: 186410
% 286.30/286.72 Inuse: 2028
% 286.30/286.72 Deleted: 5999
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying clauses:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1026234
% 286.30/286.72 Kept: 188496
% 286.30/286.72 Inuse: 2048
% 286.30/286.72 Deleted: 6073
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1047735
% 286.30/286.72 Kept: 192545
% 286.30/286.72 Inuse: 2073
% 286.30/286.72 Deleted: 6073
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1059759
% 286.30/286.72 Kept: 195083
% 286.30/286.72 Inuse: 2078
% 286.30/286.72 Deleted: 6073
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1079980
% 286.30/286.72 Kept: 199733
% 286.30/286.72 Inuse: 2098
% 286.30/286.72 Deleted: 6073
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1093114
% 286.30/286.72 Kept: 202768
% 286.30/286.72 Inuse: 2103
% 286.30/286.72 Deleted: 6073
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1105331
% 286.30/286.72 Kept: 205101
% 286.30/286.72 Inuse: 2108
% 286.30/286.72 Deleted: 6073
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1118726
% 286.30/286.72 Kept: 207220
% 286.30/286.72 Inuse: 2133
% 286.30/286.72 Deleted: 6073
% 286.30/286.72 Deletedinuse: 157
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying clauses:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1133974
% 286.30/286.72 Kept: 210170
% 286.30/286.72 Inuse: 2143
% 286.30/286.72 Deleted: 6241
% 286.30/286.72 Deletedinuse: 158
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1146479
% 286.30/286.72 Kept: 212800
% 286.30/286.72 Inuse: 2148
% 286.30/286.72 Deleted: 6241
% 286.30/286.72 Deletedinuse: 158
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1160655
% 286.30/286.72 Kept: 216382
% 286.30/286.72 Inuse: 2173
% 286.30/286.72 Deleted: 6241
% 286.30/286.72 Deletedinuse: 158
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1166834
% 286.30/286.72 Kept: 218423
% 286.30/286.72 Inuse: 2181
% 286.30/286.72 Deleted: 6241
% 286.30/286.72 Deletedinuse: 158
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1179594
% 286.30/286.72 Kept: 220455
% 286.30/286.72 Inuse: 2203
% 286.30/286.72 Deleted: 6241
% 286.30/286.72 Deletedinuse: 158
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1189945
% 286.30/286.72 Kept: 222666
% 286.30/286.72 Inuse: 2218
% 286.30/286.72 Deleted: 6241
% 286.30/286.72 Deletedinuse: 158
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1198080
% 286.30/286.72 Kept: 224972
% 286.30/286.72 Inuse: 2228
% 286.30/286.72 Deleted: 6241
% 286.30/286.72 Deletedinuse: 158
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1219902
% 286.30/286.72 Kept: 227014
% 286.30/286.72 Inuse: 2252
% 286.30/286.72 Deleted: 6242
% 286.30/286.72 Deletedinuse: 159
% 286.30/286.72
% 286.30/286.72 Resimplifying inuse:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72 Resimplifying clauses:
% 286.30/286.72 Done
% 286.30/286.72
% 286.30/286.72
% 286.30/286.72 Intermediate Status:
% 286.30/286.72 Generated: 1Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------