TSTP Solution File: SWV896-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV896-1 : 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 16:29:05 EDT 2022
% Result : Timeout 300.02s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV896-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14 % 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 00:37:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.05/1.43 *** allocated 10000 integers for termspace/termends
% 1.05/1.43 *** allocated 10000 integers for clauses
% 1.05/1.43 *** allocated 10000 integers for justifications
% 1.05/1.43 *** allocated 15000 integers for termspace/termends
% 1.05/1.43 *** allocated 22500 integers for termspace/termends
% 1.05/1.43 Bliksem 1.12
% 1.05/1.43
% 1.05/1.43
% 1.05/1.43 Automatic Strategy Selection
% 1.05/1.43
% 1.05/1.43 Clauses:
% 1.05/1.43 [
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.43 ) ), 'c_Finite__Set_Ofinite'( T, Y ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.43 ) ), 'c_Finite__Set_Ofinite'( T, Y ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 X, Y, Z, 'tc_fun'( T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool'
% 1.05/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ],
% 1.05/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ), hAPP(
% 1.05/1.43 Z, U ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), T ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Z ),
% 1.05/1.43 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.05/1.43 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.43 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.05/1.43 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 1.05/1.43 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 1.05/1.43 ), =( Y, W ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 1.05/1.43 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, 'c_COMBB'( U, X
% 1.05/1.43 , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'c_Finite__Set_Ofinite'(
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 1.05/1.43 T, 'tc_bool' ) ), T ), ~( 'c_Finite__Set_Ofinite'( hAPP( Y, U ), T ) ),
% 1.05/1.43 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ) ) ) ],
% 1.05/1.43 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.05/1.43 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.05/1.43 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.05/1.43 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.05/1.43 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.05/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.05/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.05/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.05/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 1.05/1.43 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y )
% 1.05/1.43 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 1.05/1.43 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.43 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ), hBOOL( hAPP(
% 1.05/1.43 hAPP( 'c_in'( Y ), Z ), T ) ) ],
% 1.05/1.43 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Otop__class_Otop'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 1.05/1.43 ) ) ],
% 1.05/1.43 [ =( X, Y ), ~( 'c_lessequals'( 'c_Finite__Set_Ocard'( Y, Z ),
% 1.05/1.43 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.05/1.43 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.05/1.43 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.05/1.43 , Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ), X, X ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ),
% 1.05/1.43 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.05/1.43 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Finite__Set_Osetsum'( Y, X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.43 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 1.05/1.43 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.05/1.43 , 'tc_bool' ) ), Y ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.05/1.43 'c_lessequals'( U, Z, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 1.05/1.43 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.43 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 1.05/1.43 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y,
% 1.05/1.43 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), X, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.43 , 'tc_fun'( Y, 'tc_bool' ) ), T ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.05/1.43 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.05/1.43 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.43 ) ) ), Y ), Y ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ) ) ), Y ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.43 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.05/1.43 , 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , T ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 1.05/1.43 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 1.05/1.43 , Z, 'tc_fun'( T, X ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.05/1.43 , X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.43 , Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.43 , Y, X ) ) ],
% 1.05/1.43 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.43 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 1.05/1.43 'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.43 hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 1.05/1.43 ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 1.05/1.43 ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.05/1.43 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.05/1.43 ), =( Z, Y ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.43 ) ],
% 1.05/1.43 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.05/1.43 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.05/1.43 , Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.05/1.43 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.05/1.43 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.05/1.43 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.05/1.43 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.05/1.43 ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), Z ) ), Y ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 1.05/1.43 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.05/1.43 'c_COMBC'( 'c_COMBB'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( Y, 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'(
% 1.05/1.43 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), T ), T, 'tc_fun'( Y
% 1.05/1.43 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), U ), T, 'tc_fun'( Y, 'tc_bool'
% 1.05/1.43 ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 Y, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.43 X, Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), U ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 Z, 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.05/1.43 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.43 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.05/1.43 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.43 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.43 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U,
% 1.05/1.43 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 Z, 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.05/1.43 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 1.05/1.43 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.43 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.05/1.43 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.05/1.43 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.05/1.43 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.05/1.43 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 1.05/1.43 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 1.05/1.43 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 1.05/1.43 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 1.05/1.43 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 1.05/1.43 ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 1.05/1.43 ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.43 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 1.05/1.43 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.05/1.43 ],
% 1.05/1.43 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.43 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 1.05/1.43 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.05/1.43 ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.43 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.05/1.43 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 1.05/1.43 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.43 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.43 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 'tc_fun'(
% 1.05/1.43 Y, 'tc_bool' ) ) ) ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.05/1.43 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.05/1.43 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.05/1.43 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Suc'( Z ) ) ), =(
% 1.05/1.43 'c_Finite__Set_Ocard'(
% 1.05/1.43 'c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2'( X, Z, Y ), Y ),
% 1.05/1.43 Z ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ) ) ],
% 1.05/1.43 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 1.05/1.43 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.43 T, 'c_COMBB'( 'c_Relation_OImage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.43 , 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.43 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Relation_OImage'( X, Y, Z ), T ) ),
% 1.05/1.43 hAPP( 'c_Relation_OImage'( X, Y, Z ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.43 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.05/1.43 'c_Set_Oimage'( X, Y, Z ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.05/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.43 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.43 'c_in'( T ), U ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 1.05/1.43 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, W, X,
% 1.05/1.43 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.43 hAPP( 'c_in'( U ), T ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Z, U, 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 1.05/1.43 hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( X,
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( W, Y, U, 'tc_fun'(
% 1.05/1.43 T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.05/1.43 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.05/1.43 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.43 ), X, Y ) ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Y ),
% 1.05/1.43 'c_Finite__Set_Ocard'( Z, Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.05/1.43 ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 1.05/1.43 ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, hAPP(
% 1.05/1.43 'c_COMBC'( 'c_COMBB'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.43 'tc_fun'( Y, 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'(
% 1.05/1.43 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), T ), T, 'tc_fun'( Y
% 1.05/1.43 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), U ), T, 'tc_fun'( Y, 'tc_bool'
% 1.05/1.43 ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.43 Y, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 X, Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), U ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.43 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.05/1.43 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.05/1.43 , Z, T, X, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.05/1.43 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, W, 'tc_fun'(
% 1.05/1.43 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 T, 'c_COMBB'( 'c_Relation_OImage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.43 , 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.43 Z, 'tc_bool' ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.43 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.05/1.43 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z,
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, X ) ),
% 1.05/1.43 'c_Finite__Set_Ofold'( 'c_COMBB'(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T, X, 'tc_fun'( X, X )
% 1.05/1.43 , U ), Y, Z, U, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.05/1.43 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.43 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.05/1.43 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y
% 1.05/1.43 , 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.05/1.43 , ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 1.05/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, hAPP(
% 1.05/1.43 'c_Set_Oimage'( Z, T, Y ), U ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.05/1.43 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.05/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 1.05/1.43 , X, U, Y, W ) ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Y ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBK'(
% 1.05/1.43 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 1.05/1.43 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.43 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.05/1.43 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.05/1.43 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.43 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.05/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.43 ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.43 ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.05/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.05/1.43 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.43 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.05/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.05/1.43 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 1.05/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.05/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y,
% 1.05/1.43 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.43 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.43 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U,
% 1.05/1.43 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.43 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.43 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T,
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ) ), U ),
% 1.05/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, hAPP( 'c_COMBC'(
% 1.05/1.43 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z,
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.05/1.43 , 'tc_bool' ) ), T ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.05/1.43 ) ), U ), T, 'tc_fun'( X, 'tc_bool' ) ) ), =( Y,
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.05/1.43 , 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP(
% 1.05/1.43 'c_Set_Oimage'( Y, Z, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U )
% 1.05/1.43 ), 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.43 'c_in'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , T ), Z ) ) ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.43 'c_in'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Z ), T ) ) ) ) ],
% 1.05/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y,
% 1.05/1.43 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.43 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.43 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 1.05/1.43 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.05/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 1.05/1.43 'c_lessequals'( Y, Z, X ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.05/1.43 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.43 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.43 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Z ), Y ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Z ), Y ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 1.05/1.43 'tc_bool' ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ), Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 1.05/1.44 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( Y ), Z ), T ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 , X ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_COMBC'( 'c_COMBB'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), T ), X, 'tc_fun'( Y, 'tc_bool'
% 1.05/1.44 ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, hAPP(
% 1.05/1.44 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), T ), T, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ) ), U ), T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Z, T, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), U ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.05/1.44 T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.05/1.44 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.05/1.44 , X, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.05/1.44 'tc_nat' ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP(
% 1.05/1.44 'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 1.05/1.44 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 1.05/1.44 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 Y, Z, T, 'tc_fun'( X, 'tc_bool' ) ) ), U ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, hAPP( 'c_COMBC'(
% 1.05/1.44 'c_COMBB'( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), T ), T, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 , 'tc_fun'( X, 'tc_bool' ) ), U ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 1.05/1.44 , Y, Z, X, X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 X ), T ), Y ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Z ) ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z,
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 1.05/1.44 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), ~( 'c_lessequals'( U, T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 Y, Z, T, 'tc_fun'( X, 'tc_bool' ) ) ), U ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, hAPP( 'c_COMBC'(
% 1.05/1.44 'c_COMBB'( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), T ), T, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 , 'tc_fun'( X, 'tc_bool' ) ), U ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Z ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.05/1.44 Z, Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.05/1.44 , ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Suc'( Z ) ) ), =(
% 1.05/1.44 'c_Finite__Set_Ocard'(
% 1.05/1.44 'c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2'( X, Z, Y ), Y )
% 1.05/1.44 , Z ) ],
% 1.05/1.44 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , T ), X ), Y ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , X ), T ), Y ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.05/1.44 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.05/1.44 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.05/1.44 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 1.05/1.44 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 1.05/1.44 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.05/1.44 [ 'c_Natural_Oevaln'( X, Y, Z, T ), ~( 'c_lessequals'( U, Z, 'tc_nat' )
% 1.05/1.44 ), ~( 'c_Natural_Oevaln'( X, Y, U, T ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.05/1.44 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 1.05/1.44 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.05/1.44 ), U ) ) ), ~( hBOOL( hAPP(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 1.05/1.44 W, 'tc_bool' ) ), Z ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( T
% 1.05/1.44 , Y ), U ) ), ~( hBOOL( hAPP(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 1.05/1.44 W, 'tc_bool' ) ), U ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 1.05/1.44 ), U ) ) ), ~( hBOOL( hAPP(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, X, T, 'tc_fun'(
% 1.05/1.44 W, 'tc_bool' ) ), Z ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 Y, Z, T, 'tc_fun'( X, 'tc_bool' ) ) ), U ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, hAPP( 'c_COMBC'(
% 1.05/1.44 'c_COMBB'( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), T ), T, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 , 'tc_fun'( X, 'tc_bool' ) ), U ), T, 'tc_fun'( X, 'tc_bool' ) ) ), =( Y
% 1.05/1.44 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 1.05/1.44 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.05/1.44 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Z ), T ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.05/1.44 , 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T, X,
% 1.05/1.44 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 1.05/1.44 U, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.05/1.44 Z, T ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), ~(
% 1.05/1.44 'c_lessequals'( hAPP( 'c_Set_Oimage'( U, Y, T ), X ), Z, 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, X, Y, T ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.05/1.44 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, Y, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 1.05/1.44 , Z ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.05/1.44 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ),
% 1.05/1.44 'c_Finite__Set_Ofold'( 'c_COMBB'(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z, X, 'tc_fun'( X, X )
% 1.05/1.44 , T ), 'c_Orderings_Otop__class_Otop'( X ), Y, T, X ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, hAPP(
% 1.05/1.44 'c_COMBC'( 'c_COMBB'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), T ), T, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), U ), T, 'tc_fun'( Y, 'tc_bool'
% 1.05/1.44 ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 X, Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), U ) ), =( X,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.05/1.44 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.05/1.44 , Y ) ],
% 1.05/1.44 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 1.05/1.44 , Y ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ), Z ), T ) ), T ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.05/1.44 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.05/1.44 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 1.05/1.44 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.05/1.44 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U,
% 1.05/1.44 'tc_bool' ) ), hAPP( T, Y ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 1.05/1.44 U, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.05/1.44 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Z, X ), T, 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ), X ), Y ), Y, 'tc_fun'( Z, 'tc_bool' ), X ), U ) ), W ),
% 1.05/1.44 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBC'( T, Y, Z, X ), 'tc_fun'( Y, X
% 1.05/1.44 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ), Z, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ), X ), W ) ), U ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.44 'c_lessequals'( Z, Y, X ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), T ) ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , T ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.05/1.44 ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ),
% 1.05/1.44 T ), U ), hAPP( hAPP( X, T ), W ), Z, V0 ), ~(
% 1.05/1.44 'c_Finite__Set_Ofold__graph'( X, Y, U, W, Z, V0 ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( Z ), T ), U ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Y ), T ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.05/1.44 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 1.05/1.44 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), T
% 1.05/1.44 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'(
% 1.05/1.44 Y, U, X ), W ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 1.05/1.44 ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 1.05/1.44 ), Y ), W ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 1.05/1.44 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( X, Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 1.05/1.44 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( T ), Y ), Z ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 1.05/1.44 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 1.05/1.44 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'c_COMBK'( Z, X
% 1.05/1.44 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'(
% 1.05/1.44 X, Y, Z ), T ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.05/1.44 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 1.05/1.44 ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, W, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ), Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 1.05/1.44 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 1.05/1.44 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ofold'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), Y ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.44 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.05/1.44 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.05/1.44 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 1.05/1.44 'c_lessequals'( Y, Z, X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.05/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 1.05/1.44 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.05/1.44 X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 1.05/1.44 X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 1.05/1.44 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 1.05/1.44 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 1.05/1.44 ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 1.05/1.44 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Relation_OImage'( X, Y, Z ), T ) ),
% 1.05/1.44 hAPP( 'c_Relation_OImage'( X, Y, Z ), U ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.44 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y, Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.05/1.44 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.05/1.44 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y,
% 1.05/1.44 Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.05/1.44 ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.05/1.44 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, 'tc_nat' ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z
% 1.05/1.44 , X ) ), =( hAPP( Y, T ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( 'c_COMBB'(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y ), T, Y, X,
% 1.05/1.44 X ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.05/1.44 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.05/1.44 , Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ), X, X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ),
% 1.05/1.44 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 1.05/1.44 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Y ),
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), X ), 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), X ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ) ),
% 1.05/1.44 ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.05/1.44 hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z )
% 1.05/1.44 , T ), Z ), 'c_Finite__Set_Ocard'( T, Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.44 Z, Y, Y ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Z, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a',
% 1.05/1.44 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ) ), hAPP( 'c_COMBC'( 'c_in'(
% 1.05/1.44 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), Y ) ), 'v_x' )
% 1.05/1.44 , hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', 'tc_bool'
% 1.05/1.44 ) ), X ), Y ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ), 'c_Finite__Set_Ofold'(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y, Z, X, X ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.05/1.44 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 1.05/1.44 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 1.05/1.44 ), 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.05/1.44 U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'(
% 1.05/1.44 X, W, Y, Z ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 1.05/1.44 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'c_COMBB'( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 X, T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.05/1.44 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), T ), T, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ) ), U ), T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Z, T, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), U ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), U ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, hAPP( 'c_COMBC'(
% 1.05/1.44 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ), T ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ), U ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 1.05/1.44 T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ =( X, 'c_Suc'( 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( Y
% 1.05/1.44 , X, Z, T ) ) ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', Y ), Z
% 1.05/1.44 , X, T ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), Z ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), X ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ),
% 1.05/1.44 ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), X, T ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.44 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~(
% 1.05/1.44 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ), T, X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ),
% 1.05/1.44 'c_Finite__Set_Ocard'( Y, X ), 'tc_nat' ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 X ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), X ), 'c_Finite__Set_Ocard'( Y, X ), 'tc_nat' ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.44 Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.05/1.44 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.44 T, Y ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.05/1.44 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.44 T, Y ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetprod'(
% 1.05/1.44 Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 T ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), U ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), Z, X ),
% 1.05/1.44 'c_Finite__Set_Osetprod'( Y, T, Z, X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z )
% 1.05/1.44 , U ), T ) ), =( hAPP( Y, U ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.05/1.44 'tc_bool' ), Y, 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool'
% 1.05/1.44 ), X ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 1.05/1.44 't_a' ), 'v_x' ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.05/1.44 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), T ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'(
% 1.05/1.44 'c_Relation_OImage'( X, Y, Z ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y
% 1.05/1.44 , 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), Y ), Y, 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ) ),
% 1.05/1.44 hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , T ), U ), Z, X ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ) ),
% 1.05/1.44 hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~(
% 1.05/1.44 'c_Fun_Oinj__on'( Y, T, Z, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , T ), U ), Z, X ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, hAPP( 'c_COMBC'(
% 1.05/1.44 'c_COMBB'( 'c_Set_Oinsert'( Z ), X, Z, 'tc_fun'( 'tc_fun'( Z, 'tc_bool' )
% 1.05/1.44 , 'tc_fun'( Z, 'tc_bool' ) ), Y ), Y, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.05/1.44 ) ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), X ), 'c_Finite__Set_Ocard'( Y, X ), 'tc_nat' ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 1.05/1.44 ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ), hAPP( 'c_Set_Oimage'( X, T, U
% 1.05/1.44 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) )
% 1.05/1.44 , W ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, X ),
% 1.05/1.44 'c_Finite__Set_Ofold'( 'c_COMBB'(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z, X, 'tc_fun'( X, X )
% 1.05/1.44 , T ), 'c_Orderings_Obot__class_Obot'( X ), Y, T, X ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T
% 1.05/1.44 ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), U ), T ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.05/1.44 [ 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 1.05/1.44 'c_Com_Obody', X ) ), Y,
% 1.05/1.44 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1'( X, Z, Y, T ), T ),
% 1.05/1.44 ~( 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z, T ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), ~( 'c_lessequals'( T, hAPP( 'c_Set_Oimage'( X, Y, Z ), U
% 1.05/1.44 ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), X ), X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 X, T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'c_COMBB'( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_COMBC'( 'c_COMBB'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), X ), X, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), T ), X, 'tc_fun'( Y, 'tc_bool'
% 1.05/1.44 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.05/1.44 'c_COMBC'( 'c_COMBB'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), T ), T, 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), U ), T, 'tc_fun'( Y, 'tc_bool'
% 1.05/1.44 ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 X, Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), U ) ), =( X,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 Y, Z, T, 'tc_fun'( X, 'tc_bool' ) ) ), U ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, hAPP( 'c_COMBC'(
% 1.05/1.44 'c_COMBB'( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), T ), T, 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 , 'tc_fun'( X, 'tc_bool' ) ), U ), T, 'tc_fun'( X, 'tc_bool' ) ) ), =( Y
% 1.05/1.44 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( hAPP( 'c_COMBC'( 'c_Set_Oinsert'( X ), X, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 1.05/1.44 ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( U, T, Y ), Z ), X, 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 1.05/1.44 hAPP( 'c_Set_Oimage'( W, Y, T ), X ), Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 1.05/1.44 ~( 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 1.05/1.44 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Y, Z ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, T ) ),
% 1.05/1.44 hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ) ), =( hAPP( X, T ), hAPP( X,
% 1.05/1.44 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, T ), X, T, Z,
% 1.05/1.44 Y ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.05/1.44 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, T, U, Z )
% 1.05/1.44 ), hAPP( 'c_Set_Oimage'( T, U, Z ), 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( U, 'tc_bool' ) ) ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, Y ),
% 1.05/1.44 X, Y, Z, T ), Y ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( Z ), hAPP( X, Y ) ), hAPP( 'c_Set_Oimage'( X,
% 1.05/1.44 T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( X, Y
% 1.05/1.44 , Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( Y, T, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, X ) ), =(
% 1.05/1.44 Z, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( hAPP( Y, Z ), Y, X,
% 1.05/1.44 T ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), X ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_OSup__class_OSup'( Y, X ), 'c_Finite__Set_Ofold'(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ), Y, X, X ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.05/1.44 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =(
% 1.05/1.44 'c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2'( X,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =(
% 1.05/1.44 'c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2'( X,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_Finite__Set_Ocard'( X, Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 1.05/1.44 , Y ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, X ) ),
% 1.05/1.44 'c_Finite__Set_Ofold'( 'c_COMBB'(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T, X, 'tc_fun'( X, X )
% 1.05/1.44 , U ), Y, Z, U, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.05/1.44 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 1.05/1.44 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( W ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 1.05/1.44 'tc_bool' ) ) ) ), U, W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ),
% 1.05/1.44 Z ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) )
% 1.05/1.44 ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ),
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) )
% 1.05/1.44 ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ), X ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X ) )
% 1.05/1.44 ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ), X ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), T,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), T,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) )
% 1.05/1.44 ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T )
% 1.05/1.44 , 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 1.05/1.44 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X
% 1.05/1.44 ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( Y ), Z ), T ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 1.05/1.44 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), X
% 1.05/1.44 ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, 'tc_nat' ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( X, 'tc_nat' ),
% 1.05/1.44 Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Z ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 1.05/1.44 ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( W ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 1.05/1.44 'tc_bool' ) ) ) ), U, W, V0 ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 1.05/1.44 ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple__valid'( W, hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), T ), X ), 't_a' ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ),
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'(
% 1.05/1.44 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Z ), Z,
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 1.05/1.44 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.05/1.44 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.05/1.44 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.05/1.44 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'( U, X
% 1.05/1.44 , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ),
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 1.05/1.44 'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.05/1.44 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 1.05/1.44 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 1.05/1.44 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ), T ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ),
% 1.05/1.44 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 1.05/1.44 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), U, T ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Z, T ), hAPP( 'c_Set_Oimage'( Y, U, Z ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.44 Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.05/1.44 , Y ), T ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( 'c_Finite__Set_Ocard'(
% 1.05/1.44 hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X ), 'c_Suc'(
% 1.05/1.44 'c_Finite__Set_Ocard'( Z, X ) ) ), =( 'c_Finite__Set_Ocard'( Z, X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.05/1.44 X ), 'c_Suc'( 'c_Finite__Set_Ocard'( Z, X ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), X ) ), 'c_Finite__Set_Ocard'( Y, X ) ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.05/1.44 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.05/1.44 [ ~( =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z )
% 1.05/1.44 , 'c_Finite__Set_Ocard'( T, Y ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) )
% 1.05/1.44 , 'c_Fun_Oinj__on'( X, T, Y, Z ) ],
% 1.05/1.44 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T
% 1.05/1.44 ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ), X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.05/1.44 X ), 'c_Finite__Set_Ocard'( Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 1.05/1.44 Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.44 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ) ) ],
% 1.05/1.44 [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 1.05/1.44 , Y, Z, T ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ),
% 1.05/1.44 'c_Finite__Set_Ocard'( Y, X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y )
% 1.05/1.44 ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.05/1.44 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.05/1.44 Y, Z ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.44 , Y ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.05/1.44 , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 1.05/1.44 , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z )
% 1.05/1.44 , U ) ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z,
% 1.05/1.44 Y, U ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), Y ),
% 1.05/1.44 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Y, Z ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.05/1.44 X ), 'c_Suc'( 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.05/1.44 U ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ), Y ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.05/1.44 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 1.05/1.44 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 1.05/1.44 'tc_bool' ), Y, 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool'
% 1.05/1.44 ), X ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 1.05/1.44 't_a' ), 'v_x' ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.05/1.44 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.05/1.44 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.05/1.44 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.05/1.44 U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ), Y, Z ) ) ],
% 1.05/1.44 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP(
% 1.05/1.44 Z, 'v_x' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.05/1.44 Y, X ) ],
% 1.05/1.44 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 1.05/1.44 ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), X ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T,
% 1.05/1.44 U ), U, T ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) )
% 1.05/1.44 , T ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Y, U, Z ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ), Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.05/1.44 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 1.05/1.44 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.05/1.44 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Z ), Y ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.05/1.44 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.05/1.44 ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', X ), Y ), Z ) ), ~(
% 1.05/1.44 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', X ), Y ), Z ) ), ~(
% 1.05/1.44 'c_Natural_Oevaln'( X, Y, T, Z ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP(
% 1.05/1.44 'c_Set_Oimage'( U, Z, Z ), Y ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z
% 1.05/1.44 ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.05/1.44 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 1.05/1.44 , Y ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, Z, Z ), T ), Z, U ), ~(
% 1.05/1.44 'c_Fun_Oinj__on'( X, T, Z, U ) ), ~( 'c_Fun_Oinj__on'( Y, T, Z, Z ) ),
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 1.05/1.44 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( T, Y, X, Z, U ) )
% 1.05/1.44 , T ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z
% 1.05/1.44 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 1.05/1.44 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ), X ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.05/1.44 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 ) ), Y, 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a',
% 1.05/1.44 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ) ), hAPP( 'c_COMBC'( 'c_in'(
% 1.05/1.44 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), Y ) ), 'v_x' )
% 1.05/1.44 , hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 'tc_bool'
% 1.05/1.44 ) ), X ), Y ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 , X ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 1.05/1.44 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 Z, 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 1.05/1.44 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 1.05/1.44 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 1.05/1.44 T ) ), T ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 1.05/1.44 Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ), T ), X ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ), X ), 'c_Suc'( 'c_Finite__Set_Ocard'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_Hoare__Mirabelle_OMGT'( 'v_c' ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 1.05/1.44 'tc_Com_Ostate' ) ), 'v_c' ), hAPP( 'c_Natural_Oevalc', 'v_c' ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 1.05/1.44 X, hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 1.05/1.44 , hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ),
% 1.05/1.44 'c_COMBK'( hAPP( 'c_COMBC'( 'c_fequal'( 'tc_Com_Ostate' ),
% 1.05/1.44 'tc_Com_Ostate', 'tc_Com_Ostate', 'tc_bool' ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ), 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ), Z ), 'c_COMBK'( hAPP( T,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ) ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a'
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, 'c_Suc'( Z ), T
% 1.05/1.44 ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 1.05/1.44 'c_Com_Obody', X ) ), Y, Z, T ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 1.05/1.44 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 1.05/1.44 't_b' ), Y, 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 1.05/1.44 ), 't_a' ), Z, 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 1.05/1.44 ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'( 'c_COMBS'(
% 1.05/1.44 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W,
% 1.05/1.44 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z,
% 1.05/1.44 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 1.05/1.44 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.05/1.44 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( Y,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 1.05/1.44 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 1.05/1.44 V0, Z ) ) ), hAPP( T, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X
% 1.05/1.44 , Y, W, T, V0, Z ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ) ), 't_b' ) ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( U, 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 1.05/1.44 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 1.05/1.44 't_b' ), Y, 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 1.05/1.44 ), 't_a' ), Z, 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 1.05/1.44 ), T, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'( 'c_COMBS'(
% 1.05/1.44 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), W,
% 1.05/1.44 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), Z,
% 1.05/1.44 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 1.05/1.44 ), V0, 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.05/1.44 , 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_a',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), U ), 't_b' ) ),
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( W,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T, V0, Z ) ) )
% 1.05/1.44 , hAPP( Z, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'( X, Y, W, T,
% 1.05/1.44 V0, Z ) ) ), hAPP( V0, 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1'(
% 1.05/1.44 X, Y, W, T, V0, Z ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_b' ), 'tc_bool' ) ) ), 't_b' ), ~(
% 1.05/1.44 'c_Finite__Set_Ofinite'( U, 't_a' ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( Y, T, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ), U ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ) ),
% 1.05/1.44 ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ), U ), T, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 1.05/1.44 ), hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( X, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.44 X, Y, U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), T ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ) ), ~(
% 1.05/1.44 'c_Fun_Oinj__on'( X, T, Y, U ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.05/1.44 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 1.05/1.44 , Y ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc',
% 1.05/1.44 'c_Com_Ocom_OSKIP' ), Y ), X ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', 'c_Com_Ocom_OSemi'( X, Y
% 1.05/1.44 ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', Y ), U
% 1.05/1.44 ), T ) ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', X ), Z ), U
% 1.05/1.44 ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', 'c_Com_Ocom_OSKIP' ), X )
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 1.05/1.44 [ ~( =( 'c_Com_Ocom_OSKIP', hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , Y ), U ), Z, T ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , U ), Y ), Z, T ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 1.05/1.44 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.05/1.44 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , T ), Z ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.05/1.44 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 1.05/1.44 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.05/1.44 U, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.44 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.44 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.44 T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Z, T ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), Z ) ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( T ), hAPP( Z, Y ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), hAPP(
% 1.05/1.44 'c_Set_Ovimage'( X, T, U ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ), Y, Z ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.05/1.44 , 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.05/1.44 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.05/1.44 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.05/1.44 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.05/1.44 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.05/1.44 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.05/1.44 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 1.05/1.44 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.05/1.44 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 1.05/1.44 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 1.05/1.44 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.05/1.44 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.05/1.44 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.05/1.44 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.05/1.44 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 1.05/1.44 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.05/1.44 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 1.05/1.44 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.05/1.44 , T ) ],
% 1.05/1.44 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.05/1.44 , Z ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 1.05/1.44 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 1.05/1.44 , Z ), T ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.05/1.44 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.05/1.44 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.05/1.44 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 1.05/1.44 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.05/1.44 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.05/1.44 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL(
% 1.05/1.44 hAPP( T, hAPP( X, U ) ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 1.05/1.44 , ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 1.05/1.44 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 1.05/1.44 'tc_bool' ) ), hAPP( T, Y ) ),
% 1.05/1.44 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.05/1.44 U, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.05/1.44 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 1.05/1.44 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , T ), U ), Y, Z ) ), =( T, U ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 1.05/1.44 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 1.05/1.44 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 1.05/1.44 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP(
% 1.05/1.44 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 1.05/1.44 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 1.05/1.44 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP(
% 1.05/1.44 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.05/1.44 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.05/1.44 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 1.05/1.44 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP(
% 1.05/1.44 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 1.05/1.44 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP(
% 1.05/1.44 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 1.05/1.44 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 1.05/1.44 , T ) ), U ), Y ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP(
% 1.05/1.44 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 1.05/1.44 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y )
% 1.05/1.44 ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 1.05/1.44 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 1.05/1.44 , T ) ), U ), Y ) ) ],
% 1.05/1.44 [ =( 'c_Hoare__Mirabelle_OMGT'( X ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 1.05/1.44 'tc_Com_Ostate' ) ), X ), hAPP( 'c_Natural_Oevalc', X ) ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 'tc_Com_Ostate' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), X ), Y ), Z ) )
% 1.05/1.44 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'tc_Com_Ostate' ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__valids'( 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 'tc_Com_Ostate' ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), X ), Y ), Z ) )
% 1.05/1.44 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'tc_Com_Ostate' ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 'tc_Com_Ostate' ) ), 'c_Hoare__Mirabelle_OMGT'( Y ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'tc_Com_Ostate' ) ) ],
% 1.05/1.44 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.05/1.44 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.05/1.44 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Z )
% 1.05/1.44 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ) ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, hAPP( 'c_Set_Oimage'(
% 1.05/1.44 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 1.05/1.44 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 1.05/1.44 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 1.05/1.44 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 1.05/1.44 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ) ), 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ),
% 1.05/1.44 ~( 'c_Hoare__Mirabelle_Ohoare__valids'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), X ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 'tc_fun'( Y, 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 1.05/1.44 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ),
% 1.05/1.44 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 1.05/1.44 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.44 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 1.05/1.44 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 1.05/1.44 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 1.05/1.44 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 1.05/1.44 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 1.05/1.44 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.05/1.44 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSKIP' ), Z )
% 1.05/1.44 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSemi'( T, U
% 1.05/1.44 ) ), W ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.05/1.44 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP(
% 1.05/1.44 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), hAPP( Z, T ) ), hAPP(
% 1.05/1.44 'c_Com_Ocom_OBODY', T ) ), hAPP( U, T ) ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ), 'tc_bool' ) ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Com_Opname'
% 1.05/1.44 ), T ), W ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), X ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 'tc_fun'( Y, 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 1.05/1.44 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ),
% 1.05/1.44 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 1.05/1.44 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ) ) ), U, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.44 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 1.05/1.44 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 1.05/1.44 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 1.05/1.44 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 1.05/1.44 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U
% 1.05/1.44 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.05/1.44 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W ), Y ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 1.05/1.44 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 1.05/1.44 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 1.05/1.44 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 1.05/1.44 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 1.05/1.44 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ) ), 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ),
% 1.05/1.44 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), X ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 'tc_fun'( Y, 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 1.05/1.44 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ),
% 1.05/1.44 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 1.05/1.44 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ) ), hAPP( 'c_Set_Oimage'(
% 1.05/1.44 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 1.05/1.44 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 1.05/1.44 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 1.05/1.44 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 1.05/1.44 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 1.05/1.44 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 1.05/1.44 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 1.05/1.44 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.05/1.44 'c_Hoare__Mirabelle_OMGT'( hAPP( 'c_Com_Ocom_OBODY', Y ) ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'tc_Com_Ostate' ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ),
% 1.05/1.44 'c_Hoare__Mirabelle_OMGT'( hAPP( 'c_Com_Ocom_OBODY', Y ) ) ), X ), hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) )
% 1.05/1.44 , 'c_Hoare__Mirabelle_OMGT'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 1.05/1.44 'c_Com_Obody', Y ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ) ),
% 1.05/1.44 'tc_Com_Ostate' ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.05/1.44 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Y ), Z ) ) ],
% 1.05/1.44 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', hAPP( 'c_Com_Ocom_OBODY'
% 1.05/1.44 , X ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', hAPP(
% 1.05/1.44 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', hAPP( 'c_Option_Othe'(
% 1.05/1.44 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', X ) ) ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.44 hAPP( hAPP( 'c_Natural_Oevalc', hAPP( 'c_Com_Ocom_OBODY', X ) ), Y ), Z )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 1.05/1.44 ) ), hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, T, Y, Z, U ), U, Z ), W ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 1.05/1.44 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.05/1.44 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 1.05/1.44 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 1.05/1.44 U ), W ), V0 ) ) ), =( T, V0 ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 1.05/1.44 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 1.05/1.44 U ), W ), V0 ) ) ), =( Z, W ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 1.05/1.44 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 1.05/1.44 U ), W ), V0 ) ) ), =( Y, U ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.05/1.44 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', Z ), T ), X
% 1.05/1.44 ) ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Natural_Oevalc', Z ), T ), Y ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ), Y ) ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ), Y ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.44 ) ) ), Y ), Y ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.05/1.44 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 1.05/1.44 , T ) ), U ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 1.05/1.44 , T ) ), U ) ), X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 1.05/1.44 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.44 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.05/1.44 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 1.05/1.44 , T ) ), U ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 1.05/1.44 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ) ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.05/1.44 , W ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.05/1.44 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.05/1.44 , 'tc_bool' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.05/1.44 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.44 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.05/1.44 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.05/1.44 hBOOL( hAPP( Z, T ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.05/1.44 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.05/1.44 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 1.05/1.44 , =( X, Y ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.05/1.44 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.05/1.44 'tc_bool' ) ) ) ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 'v_G' )
% 1.05/1.44 , hAPP( 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBB'( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 1.05/1.44 'tc_Com_Ostate' ) ), 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 'tc_fun'(
% 1.05/1.44 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Opname' ),
% 1.05/1.44 'c_COMBB'( 'c_Natural_Oevalc', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 1.05/1.44 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Com_Opname' ), 'tc_Com_Opname', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 'tc_Com_Ostate' ) ), 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'(
% 1.05/1.44 'tc_Com_Ostate' ) ), 'v_Procs' ) ), hAPP( 'c_Set_Oimage'( 'c_COMBS'(
% 1.05/1.44 'c_COMBB'( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' )
% 1.05/1.44 , 'c_fequal'( 'tc_Com_Ostate' ) ), 'c_COMBB'( 'c_Option_Othe'(
% 1.05/1.44 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ),
% 1.05/1.44 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Opname' ),
% 1.05/1.44 'c_COMBB'( 'c_Natural_Oevalc', 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom'
% 1.05/1.44 ), 'c_Com_Obody', 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom',
% 1.05/1.44 'tc_Com_Opname' ), 'tc_Com_Ocom', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.05/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Com_Opname' ), 'tc_Com_Opname',
% 1.05/1.44 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Opname',
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'v_Procs' ),
% 1.05/1.44 'tc_Com_Ostate' ) ],
% 1.05/1.44 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.05/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 'v_G' )
% 1.05/1.44 , hAPP( 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBB'( hAPP(
% 1.05/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 1.09/1.44 'tc_Com_Ostate' ) ), 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 'tc_fun'(
% 1.09/1.44 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.09/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Opname' ),
% 1.09/1.44 'c_COMBB'( 'c_Natural_Oevalc', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 1.09/1.44 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.09/1.44 'tc_Com_Opname' ), 'tc_Com_Opname', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.09/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.09/1.44 'tc_Com_Ostate' ) ), 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'(
% 1.09/1.44 'tc_Com_Ostate' ) ), 'v_Procs' ) ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.09/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), hAPP( hAPP( hAPP(
% 1.09/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 1.09/1.44 'tc_Com_Ostate' ) ), hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 1.09/1.44 'c_Com_Obody', 'v_x' ) ) ), hAPP( 'c_Natural_Oevalc', hAPP(
% 1.09/1.44 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', 'v_x' ) ) ) ) ),
% 1.09/1.44 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.09/1.44 'tc_Com_Ostate' ), 'tc_bool' ) ) ), 'tc_Com_Ostate' ) ],
% 1.09/1.44 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 1.09/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.09/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) ), 'v_G' )
% 1.09/1.44 , hAPP( 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBB'( hAPP(
% 1.09/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 1.09/1.44 'tc_Com_Ostate' ) ), 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 'tc_fun'(
% 1.09/1.44 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.09/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), 'tc_Com_Opname' ),
% 1.09/1.44 'c_COMBB'( 'c_Natural_Oevalc', 'c_Com_Ocom_OBODY', 'tc_Com_Ocom',
% 1.09/1.44 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.09/1.44 'tc_Com_Opname' ), 'tc_Com_Opname', 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.09/1.44 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 1.09/1.44 'tc_Com_Ostate' ) ), 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'(
% 1.09/1.44 'tc_Com_Ostate' ) ), 'v_Procs' ) ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.09/1.44 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ) ), hAPP( hAPP( hAPP(
% 1.09/1.44 'c_Hoare__Mirabelle_Otriple_Otriple'( 'tc_Com_Ostate' ), 'c_fequal'(
% 1.09/1.44 'tc_Com_Ostate' ) ), hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 1.09/1.44 'c_Com_Obody', 'v_x' ) ) ), hAPP( 'c_Natural_Oevalc', hAPP(
% 1.09/1.44 'c_Com_Ocom_OBODY', 'v_x' ) ) ) ), 'c_Orderings_Obot__class_Obot'(
% 1.09/1.44 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 'tc_Com_Ostate' ), 'tc_bool' ) )
% 1.09/1.44 ), 'tc_Com_Ostate' ) ) ],
% 1.09/1.44 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.44 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.09/1.44 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.44 'class_Lattices_Olattice'( Y ) ) ],
% 1.09/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.44 'class_Lattices_Olattice'( Y ) ) ],
% 1.09/1.44 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.44 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.09/1.44 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.44 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.09/1.44 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.44 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.09/1.44 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.09/1.44 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.44 'class_Orderings_Opreorder'( Y ) ) ],
% 1.09/1.44 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.44 'class_Lattices_Olattice'( Y ) ) ],
% 1.09/1.44 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.44 'class_Orderings_Oorder'( Y ) ) ],
% 1.09/1.44 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.09/1.44 Y ) ) ],
% 1.09/1.44 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.09/1.44 Y ) ) ],
% 1.09/1.44 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.09/1.44 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.09/1.44 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.09/1.45 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.09/1.45 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.09/1.45 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 1.09/1.45 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.09/1.45 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.09/1.45 , W ) ) ) ],
% 1.09/1.45 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.09/1.45 U ) ) ],
% 1.09/1.45 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.09/1.45 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.09/1.45 ] .
% 1.09/1.45
% 1.09/1.45
% 1.09/1.45 percentage equality = 0.291888, percentage horn = 0.868829
% 1.09/1.45 This is a problem with some equality
% 1.09/1.45
% 1.09/1.45
% 1.09/1.45
% 1.09/1.45 Options Used:
% 1.09/1.45
% 1.09/1.45 useres = 1
% 1.09/1.45 useparamod = 1
% 1.09/1.45 useeqrefl = 1
% 1.09/1.45 useeqfact = 1
% 1.09/1.45 usefactor = 1
% 1.09/1.45 usesimpsplitting = 0
% 1.09/1.45 usesimpdemod = 5
% 1.09/1.45 usesimpres = 3
% 1.09/1.45
% 1.09/1.45 resimpinuse = 1000
% 1.09/1.45 resimpclauses = 20000
% 1.09/1.45 substype = eqrewr
% 1.09/1.45 backwardsubs = 1
% 1.09/1.45 selectoldest = 5
% 1.09/1.45
% 1.09/1.45 litorderings [0] = split
% 1.09/1.45 litorderings [1] = extend the termordering, first sorting on arguments
% 1.09/1.45
% 1.09/1.45 termordering = kbo
% 1.09/1.45
% 1.09/1.45 litapriori = 0
% 1.09/1.45 termapriori = 1
% 1.09/1.45 litaposteriori = 0
% 1.09/1.45 termaposteriori = 0
% 1.09/1.45 demodaposteriori = 0
% 1.09/1.45 ordereqreflfact = 0
% 1.09/1.45
% 1.09/1.45 litselect = negord
% 1.09/1.45
% 1.09/1.45 maxweight = 15
% 1.09/1.45 maxdepth = 30000
% 1.09/1.45 maxlength = 115
% 1.09/1.45 maxnrvars = 195
% 1.09/1.45 excuselevel = 1
% 1.09/1.45 increasemaxweight = 1
% 1.09/1.45
% 1.09/1.45 maxselected = 10000000
% 1.09/1.45 maxnrclauses = 10000000
% 1.09/1.45
% 1.09/1.45 showgenerated = 0
% 1.09/1.45 showkept = 0
% 1.09/1.45 showselected = 0
% 1.09/1.45 showdeleted = 0
% 1.09/1.45 showresimp = 1
% 1.09/1.45 showstatus = 2000
% 1.09/1.45
% 1.09/1.45 prologoutput = 1
% 1.09/1.45 nrgoals = 5000000
% 1.09/1.45 totalproof = 1
% 1.09/1.45
% 1.09/1.45 Symbols occurring in the translation:
% 1.09/1.45
% 1.09/1.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.09/1.45 . [1, 2] (w:1, o:141, a:1, s:1, b:0),
% 1.09/1.45 ! [4, 1] (w:0, o:95, a:1, s:1, b:0),
% 1.09/1.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.09/1.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.09/1.45 'class_OrderedGroup_Ocomm__monoid__add' [40, 1] (w:1, o:100, a:1, s:1
% 1.09/1.58 , b:0),
% 1.09/1.58 'c_Finite__Set_Osetsum' [42, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.09/1.58 hAPP [44, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.09/1.58 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.09/1.58 'c_Finite__Set_Ofinite' [47, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.09/1.58 'tc_bool' [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.09/1.58 'tc_fun' [50, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.09/1.58 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [51, 4] (w:1
% 1.09/1.58 , o:188, a:1, s:1, b:0),
% 1.09/1.58 'c_lessequals' [53, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.09/1.58 'c_in' [54, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.09/1.58 hBOOL [55, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.09/1.58 'class_Complete__Lattice_Ocomplete__lattice' [56, 1] (w:1, o:104, a:1
% 1.09/1.58 , s:1, b:0),
% 1.09/1.58 'c_Lattices_Olower__semilattice__class_Oinf' [59, 1] (w:1, o:105, a:1
% 1.09/1.58 , s:1, b:0),
% 1.09/1.58 'class_Lattices_Olower__semilattice' [61, 1] (w:1, o:106, a:1, s:1
% 1.09/1.58 , b:0),
% 1.09/1.58 'class_Lattices_Olattice' [65, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.09/1.58 'c_HOL_Oord__class_Oless' [66, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.09/1.58 'c_Finite__Set_Ocard' [67, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.09/1.58 'tc_nat' [68, 0] (w:1, o:27, a:1, s:1, b:0),
% 1.09/1.58 'c_Suc' [69, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.09/1.58 'c_Fun_Ofun__upd' [72, 5] (w:1, o:206, a:1, s:1, b:0),
% 1.09/1.58 'c_Set_Oimage' [76, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.09/1.58 'c_COMBB' [77, 5] (w:1, o:207, a:1, s:1, b:0),
% 1.09/1.58 'c_Lattices_Oupper__semilattice__class_Osup' [79, 1] (w:1, o:109, a:1
% 1.09/1.58 , s:1, b:0),
% 1.09/1.58 'class_Lattices_Obounded__lattice' [81, 1] (w:1, o:110, a:1, s:1, b:0
% 1.09/1.58 ),
% 1.09/1.58 'c_Orderings_Otop__class_Otop' [82, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.09/1.58 'c_Set_Oinsert' [83, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.09/1.58 'c_HOL_Ominus__class_Ominus' [84, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.09/1.58 'c_Finite__Set_Ofold' [85, 5] (w:1, o:208, a:1, s:1, b:0),
% 1.09/1.58 'c_Orderings_Obot__class_Obot' [86, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.09/1.58 'c_COMBC' [88, 4] (w:1, o:189, a:1, s:1, b:0),
% 1.09/1.58 'class_Orderings_Opreorder' [89, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.09/1.58 'class_HOL_Oord' [90, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.09/1.58 'class_Orderings_Oorder' [92, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.09/1.58 'class_Orderings_Olinorder' [93, 1] (w:1, o:118, a:1, s:1, b:0),
% 1.09/1.58 'class_Ring__and__Field_Oordered__idom' [96, 1] (w:1, o:120, a:1, s:1
% 1.09/1.58 , b:0),
% 1.09/1.58 'class_OrderedGroup_Opordered__ab__group__add' [98, 1] (w:1, o:121
% 1.09/1.58 , a:1, s:1, b:0),
% 1.09/1.58 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [99, 4] (w:1
% 1.09/1.58 , o:190, a:1, s:1, b:0),
% 1.09/1.58 'class_Orderings_Otop' [103, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.09/1.58 'c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2' [104, 3] (w:1
% 1.09/1.58 , o:181, a:1, s:1, b:0),
% 1.09/1.58 'c_Relation_OImage' [106, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.09/1.58 'c_COMBK' [107, 3] (w:1, o:182, a:1, s:1, b:0),
% 1.09/1.58 'class_Lattices_Oupper__semilattice' [108, 1] (w:1, o:123, a:1, s:1
% 1.09/1.58 , b:0),
% 1.09/1.58 'c_Fun_Oinj__on' [109, 4] (w:1, o:191, a:1, s:1, b:0),
% 1.09/1.58 'c_Finite__Set_Ofold__graph' [110, 6] (w:1, o:212, a:1, s:1, b:0),
% 1.09/1.58 'c_Set_Ovimage' [111, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.09/1.58 'class_OrderedGroup_Oab__group__add' [112, 1] (w:1, o:124, a:1, s:1
% 1.09/1.58 , b:0),
% 1.09/1.58 'c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2' [113, 3] (w:
% 1.09/1.58 1, o:184, a:1, s:1, b:0),
% 1.09/1.58 't_a' [114, 0] (w:1, o:59, a:1, s:1, b:0),
% 1.09/1.58 'v_x' [115, 0] (w:1, o:60, a:1, s:1, b:0),
% 1.09/1.58 'c_Natural_Oevaln' [119, 4] (w:1, o:192, a:1, s:1, b:0),
% 1.09/1.58 'c_Complete__Lattice_OSup__class_OSup' [122, 2] (w:1, o:171, a:1, s:1
% 1.09/1.58 , b:0),
% 1.09/1.58 'class_Orderings_Obot' [125, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.09/1.58 'c_Nitpick_Ofold__graph_H' [126, 6] (w:1, o:213, a:1, s:1, b:0),
% 1.09/1.58 'class_Lattices_Odistrib__lattice' [127, 1] (w:1, o:126, a:1, s:1, b:
% 1.09/1.58 0),
% 1.09/1.58 'class_Ring__and__Field_Ono__zero__divisors' [128, 1] (w:1, o:119, a:
% 1.09/1.58 1, s:1, b:0),
% 1.09/1.58 'class_Ring__and__Field_Ocomm__semiring__1' [129, 1] (w:1, o:127, a:1
% 1.09/1.58 , s:1, b:0),
% 1.09/1.58 'c_Finite__Set_Osetprod' [130, 4] (w:1, o:193, a:1, s:1, b:0),
% 1.09/1.58 'c_COMBS' [131, 5] (w:1, o:209, a:1, s:1, b:0),
% 1.09/1.58 'c_Natural_Osko__Natural__Xevaln__elim__cases__6__1' [134, 4] (w:1
% 9.00/9.40 , o:194, a:1, s:1, b:0),
% 9.00/9.40 'c_Com_Ocom_OBODY' [135, 0] (w:1, o:72, a:1, s:1, b:0),
% 9.00/9.40 'class_Ring__and__Field_Oring' [136, 1] (w:1, o:128, a:1, s:1, b:0),
% 9.00/9.40
% 9.00/9.40 'class_Ring__and__Field_Ofield' [137, 1] (w:1, o:129, a:1, s:1, b:0)
% 9.00/9.40 ,
% 9.00/9.40 'tc_Com_Ocom' [138, 0] (w:1, o:73, a:1, s:1, b:0),
% 9.00/9.40 'c_Option_Othe' [139, 1] (w:1, o:130, a:1, s:1, b:0),
% 9.00/9.40 'c_Com_Obody' [140, 0] (w:1, o:71, a:1, s:1, b:0),
% 9.00/9.40 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2' [141, 5] (w:1, o:210
% 9.00/9.40 , a:1, s:1, b:0),
% 9.00/9.40 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1' [142, 4]
% 9.00/9.40 (w:1, o:195, a:1, s:1, b:0),
% 9.00/9.40 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1' [143, 4] (w:1, o:196
% 9.00/9.40 , a:1, s:1, b:0),
% 9.00/9.40 'c_Hoare__Mirabelle_Otriple_Otriple' [146, 1] (w:1, o:131, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'c_Hoare__Mirabelle_Otriple__valid' [147, 3] (w:1, o:185, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'class_Finite__Set_Ofinite_Ofinite' [149, 1] (w:1, o:132, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'c_Com_Ocom_OSKIP' [151, 0] (w:1, o:77, a:1, s:1, b:0),
% 9.00/9.40 'class_Ring__and__Field_Oidom' [152, 1] (w:1, o:133, a:1, s:1, b:0),
% 9.00/9.40
% 9.00/9.40 'class_Int_Onumber__ring' [153, 1] (w:1, o:135, a:1, s:1, b:0),
% 9.00/9.40 'class_OrderedGroup_Ogroup__add' [154, 1] (w:1, o:136, a:1, s:1, b:0)
% 9.00/9.40 ,
% 9.00/9.40 'c_Com_Ocom_OSemi' [158, 2] (w:1, o:172, a:1, s:1, b:0),
% 9.00/9.40 'class_HOL_Ominus' [161, 1] (w:1, o:134, a:1, s:1, b:0),
% 9.00/9.40 'c_Natural_Oevalc' [162, 0] (w:1, o:78, a:1, s:1, b:0),
% 9.00/9.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1' [163, 5] (w:1
% 9.00/9.40 , o:211, a:1, s:1, b:0),
% 9.00/9.40 'v_c' [165, 0] (w:1, o:80, a:1, s:1, b:0),
% 9.00/9.40 'c_Hoare__Mirabelle_OMGT' [166, 1] (w:1, o:137, a:1, s:1, b:0),
% 9.00/9.40 'tc_Com_Ostate' [167, 0] (w:1, o:81, a:1, s:1, b:0),
% 9.00/9.40 'c_fequal' [168, 1] (w:1, o:138, a:1, s:1, b:0),
% 9.00/9.40 'tc_Hoare__Mirabelle_Otriple' [169, 1] (w:1, o:139, a:1, s:1, b:0),
% 9.00/9.40 'c_Hoare__Mirabelle_Ohoare__derivs' [170, 3] (w:1, o:186, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xescape__2' [171, 4] (w:1, o:198, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xescape__1' [172, 4] (w:1, o:197, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 't_b' [173, 0] (w:1, o:82, a:1, s:1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xfinite__pointwise__1' [177, 6] (w:1, o:214
% 9.00/9.40 , a:1, s:1, b:0),
% 9.00/9.40 'c_Hoare__Mirabelle_Ohoare__valids' [179, 3] (w:1, o:187, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [187, 6] (w:1
% 9.00/9.40 , o:215, a:1, s:1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [188, 4] (w:1
% 9.00/9.40 , o:200, a:1, s:1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xconseq12__3' [189, 4] (w:1, o:203, a:1, s:
% 9.00/9.40 1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xconseq12__2' [190, 4] (w:1, o:202, a:1, s:
% 9.00/9.40 1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [191, 6] (w:
% 9.00/9.40 1, o:216, a:1, s:1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [192, 4] (w:
% 9.00/9.40 1, o:205, a:1, s:1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [193, 4] (w:
% 9.00/9.40 1, o:204, a:1, s:1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [194, 4] (w:1
% 9.00/9.40 , o:199, a:1, s:1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xconseq2__1' [195, 2] (w:1, o:175, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xconseq2__2' [196, 2] (w:1, o:176, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xconseq12__1' [197, 4] (w:1, o:201, a:1, s:
% 9.00/9.40 1, b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xconseq1__1' [198, 2] (w:1, o:173, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'v_sko__Hoare__Mirabelle__Xconseq1__2' [199, 2] (w:1, o:174, a:1, s:1
% 9.00/9.40 , b:0),
% 9.00/9.40 'tc_Com_Opname' [200, 0] (w:1, o:87, a:1, s:1, b:0),
% 9.00/9.40 'tc_Option_Ooption' [202, 1] (w:1, o:140, a:1, s:1, b:0),
% 9.00/9.40 'v_G' [211, 0] (w:1, o:90, a:1, s:1, b:0),
% 9.00/9.40 'v_Procs' [212, 0] (w:1, o:91, a:1, s:1, b:0).
% 9.00/9.40
% 9.00/9.40
% 9.00/9.40 Starting Search:
% 9.00/9.40
% 9.00/9.40 Resimplifying inuse:
% 9.00/9.40 Done
% 9.00/9.40
% 9.00/9.40
% 9.00/9.40 Intermediate Status:
% 9.00/9.40 Generated: 4607
% 9.00/9.40 Kept: 2093
% 9.00/9.40 Inuse: 106
% 9.00/9.40 Deleted: 5
% 9.00/9.40 Deletedinuse: 0
% 9.00/9.40
% 9.00/9.40 Resimplifying inuse:
% 9.00/9.40 Done
% 9.00/9.40
% 9.00/9.40 Resimplifying inuse:
% 9.00/9.40 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 12952
% 33.33/33.66 Kept: 4334
% 33.33/33.66 Inuse: 204
% 33.33/33.66 Deleted: 7
% 33.33/33.66 Deletedinuse: 0
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 23532
% 33.33/33.66 Kept: 6335
% 33.33/33.66 Inuse: 249
% 33.33/33.66 Deleted: 7
% 33.33/33.66 Deletedinuse: 0
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 30569
% 33.33/33.66 Kept: 8622
% 33.33/33.66 Inuse: 296
% 33.33/33.66 Deleted: 7
% 33.33/33.66 Deletedinuse: 0
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 37583
% 33.33/33.66 Kept: 10915
% 33.33/33.66 Inuse: 359
% 33.33/33.66 Deleted: 7
% 33.33/33.66 Deletedinuse: 0
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 47238
% 33.33/33.66 Kept: 13118
% 33.33/33.66 Inuse: 430
% 33.33/33.66 Deleted: 11
% 33.33/33.66 Deletedinuse: 0
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 57569
% 33.33/33.66 Kept: 16184
% 33.33/33.66 Inuse: 480
% 33.33/33.66 Deleted: 11
% 33.33/33.66 Deletedinuse: 0
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 66816
% 33.33/33.66 Kept: 18265
% 33.33/33.66 Inuse: 508
% 33.33/33.66 Deleted: 12
% 33.33/33.66 Deletedinuse: 0
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying clauses:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 76450
% 33.33/33.66 Kept: 20287
% 33.33/33.66 Inuse: 561
% 33.33/33.66 Deleted: 197
% 33.33/33.66 Deletedinuse: 0
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 85657
% 33.33/33.66 Kept: 22378
% 33.33/33.66 Inuse: 589
% 33.33/33.66 Deleted: 201
% 33.33/33.66 Deletedinuse: 4
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 102198
% 33.33/33.66 Kept: 25236
% 33.33/33.66 Inuse: 639
% 33.33/33.66 Deleted: 201
% 33.33/33.66 Deletedinuse: 4
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 110805
% 33.33/33.66 Kept: 27279
% 33.33/33.66 Inuse: 678
% 33.33/33.66 Deleted: 201
% 33.33/33.66 Deletedinuse: 4
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 118040
% 33.33/33.66 Kept: 29302
% 33.33/33.66 Inuse: 705
% 33.33/33.66 Deleted: 201
% 33.33/33.66 Deletedinuse: 4
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 125821
% 33.33/33.66 Kept: 31413
% 33.33/33.66 Inuse: 729
% 33.33/33.66 Deleted: 201
% 33.33/33.66 Deletedinuse: 4
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 132477
% 33.33/33.66 Kept: 33420
% 33.33/33.66 Inuse: 763
% 33.33/33.66 Deleted: 201
% 33.33/33.66 Deletedinuse: 4
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 139563
% 33.33/33.66 Kept: 35605
% 33.33/33.66 Inuse: 789
% 33.33/33.66 Deleted: 201
% 33.33/33.66 Deletedinuse: 4
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 146613
% 33.33/33.66 Kept: 37615
% 33.33/33.66 Inuse: 817
% 33.33/33.66 Deleted: 201
% 33.33/33.66 Deletedinuse: 4
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 155415
% 33.33/33.66 Kept: 39628
% 33.33/33.66 Inuse: 837
% 33.33/33.66 Deleted: 202
% 33.33/33.66 Deletedinuse: 5
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying clauses:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 166332
% 33.33/33.66 Kept: 42616
% 33.33/33.66 Inuse: 854
% 33.33/33.66 Deleted: 639
% 33.33/33.66 Deletedinuse: 5
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 176096
% 33.33/33.66 Kept: 44644
% 33.33/33.66 Inuse: 885
% 33.33/33.66 Deleted: 639
% 33.33/33.66 Deletedinuse: 5
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 186850
% 33.33/33.66 Kept: 47003
% 33.33/33.66 Inuse: 894
% 33.33/33.66 Deleted: 639
% 33.33/33.66 Deletedinuse: 5
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 192464
% 33.33/33.66 Kept: 49048
% 33.33/33.66 Inuse: 906
% 33.33/33.66 Deleted: 639
% 33.33/33.66 Deletedinuse: 5
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 203629
% 33.33/33.66 Kept: 52155
% 33.33/33.66 Inuse: 914
% 33.33/33.66 Deleted: 639
% 33.33/33.66 Deletedinuse: 5
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 213623
% 33.33/33.66 Kept: 54169
% 33.33/33.66 Inuse: 921
% 33.33/33.66 Deleted: 639
% 33.33/33.66 Deletedinuse: 5
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 222396
% 33.33/33.66 Kept: 56881
% 33.33/33.66 Inuse: 924
% 33.33/33.66 Deleted: 639
% 33.33/33.66 Deletedinuse: 5
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66
% 33.33/33.66 Intermediate Status:
% 33.33/33.66 Generated: 231805
% 33.33/33.66 Kept: 58908
% 33.33/33.66 Inuse: 929
% 33.33/33.66 Deleted: 639
% 33.33/33.66 Deletedinuse: 5
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 33.33/33.66
% 33.33/33.66 Resimplifying inuse:
% 33.33/33.66 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying clauses:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 240663
% 97.75/98.13 Kept: 61104
% 97.75/98.13 Inuse: 949
% 97.75/98.13 Deleted: 705
% 97.75/98.13 Deletedinuse: 5
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 251975
% 97.75/98.13 Kept: 63395
% 97.75/98.13 Inuse: 979
% 97.75/98.13 Deleted: 705
% 97.75/98.13 Deletedinuse: 5
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 258723
% 97.75/98.13 Kept: 65684
% 97.75/98.13 Inuse: 1004
% 97.75/98.13 Deleted: 705
% 97.75/98.13 Deletedinuse: 5
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 265660
% 97.75/98.13 Kept: 67824
% 97.75/98.13 Inuse: 1033
% 97.75/98.13 Deleted: 707
% 97.75/98.13 Deletedinuse: 6
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 280145
% 97.75/98.13 Kept: 70479
% 97.75/98.13 Inuse: 1043
% 97.75/98.13 Deleted: 707
% 97.75/98.13 Deletedinuse: 6
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 289271
% 97.75/98.13 Kept: 72558
% 97.75/98.13 Inuse: 1063
% 97.75/98.13 Deleted: 707
% 97.75/98.13 Deletedinuse: 6
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 297051
% 97.75/98.13 Kept: 74559
% 97.75/98.13 Inuse: 1093
% 97.75/98.13 Deleted: 707
% 97.75/98.13 Deletedinuse: 6
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 308625
% 97.75/98.13 Kept: 77113
% 97.75/98.13 Inuse: 1123
% 97.75/98.13 Deleted: 707
% 97.75/98.13 Deletedinuse: 6
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 320549
% 97.75/98.13 Kept: 79959
% 97.75/98.13 Inuse: 1133
% 97.75/98.13 Deleted: 707
% 97.75/98.13 Deletedinuse: 6
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying clauses:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 339008
% 97.75/98.13 Kept: 81989
% 97.75/98.13 Inuse: 1168
% 97.75/98.13 Deleted: 917
% 97.75/98.13 Deletedinuse: 6
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 345004
% 97.75/98.13 Kept: 84136
% 97.75/98.13 Inuse: 1184
% 97.75/98.13 Deleted: 935
% 97.75/98.13 Deletedinuse: 10
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 354374
% 97.75/98.13 Kept: 86145
% 97.75/98.13 Inuse: 1216
% 97.75/98.13 Deleted: 935
% 97.75/98.13 Deletedinuse: 10
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 362957
% 97.75/98.13 Kept: 88205
% 97.75/98.13 Inuse: 1243
% 97.75/98.13 Deleted: 937
% 97.75/98.13 Deletedinuse: 12
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 372416
% 97.75/98.13 Kept: 90206
% 97.75/98.13 Inuse: 1275
% 97.75/98.13 Deleted: 938
% 97.75/98.13 Deletedinuse: 13
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 381768
% 97.75/98.13 Kept: 92331
% 97.75/98.13 Inuse: 1299
% 97.75/98.13 Deleted: 938
% 97.75/98.13 Deletedinuse: 13
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 402038
% 97.75/98.13 Kept: 94469
% 97.75/98.13 Inuse: 1322
% 97.75/98.13 Deleted: 940
% 97.75/98.13 Deletedinuse: 13
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 407067
% 97.75/98.13 Kept: 96479
% 97.75/98.13 Inuse: 1330
% 97.75/98.13 Deleted: 968
% 97.75/98.13 Deletedinuse: 14
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 410731
% 97.75/98.13 Kept: 98529
% 97.75/98.13 Inuse: 1335
% 97.75/98.13 Deleted: 983
% 97.75/98.13 Deletedinuse: 14
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying clauses:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 418208
% 97.75/98.13 Kept: 100766
% 97.75/98.13 Inuse: 1355
% 97.75/98.13 Deleted: 1517
% 97.75/98.13 Deletedinuse: 14
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 427474
% 97.75/98.13 Kept: 102955
% 97.75/98.13 Inuse: 1375
% 97.75/98.13 Deleted: 1519
% 97.75/98.13 Deletedinuse: 16
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 434954
% 97.75/98.13 Kept: 105027
% 97.75/98.13 Inuse: 1395
% 97.75/98.13 Deleted: 1519
% 97.75/98.13 Deletedinuse: 16
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 441479
% 97.75/98.13 Kept: 107072
% 97.75/98.13 Inuse: 1410
% 97.75/98.13 Deleted: 1519
% 97.75/98.13 Deletedinuse: 16
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 447741
% 97.75/98.13 Kept: 109380
% 97.75/98.13 Inuse: 1420
% 97.75/98.13 Deleted: 1519
% 97.75/98.13 Deletedinuse: 16
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 454728
% 97.75/98.13 Kept: 111393
% 97.75/98.13 Inuse: 1432
% 97.75/98.13 Deleted: 1519
% 97.75/98.13 Deletedinuse: 16
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13 Resimplifying inuse:
% 97.75/98.13 Done
% 97.75/98.13
% 97.75/98.13
% 97.75/98.13 Intermediate Status:
% 97.75/98.13 Generated: 462037
% 185.27/185.66 Kept: 113605
% 185.27/185.66 Inuse: 1445
% 185.27/185.66 Deleted: 1519
% 185.27/185.66 Deletedinuse: 16
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 469375
% 185.27/185.66 Kept: 116685
% 185.27/185.66 Inuse: 1446
% 185.27/185.66 Deleted: 1519
% 185.27/185.66 Deletedinuse: 16
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 476423
% 185.27/185.66 Kept: 118855
% 185.27/185.66 Inuse: 1460
% 185.27/185.66 Deleted: 1519
% 185.27/185.66 Deletedinuse: 16
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 488099
% 185.27/185.66 Kept: 121346
% 185.27/185.66 Inuse: 1470
% 185.27/185.66 Deleted: 1519
% 185.27/185.66 Deletedinuse: 16
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying clauses:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 501060
% 185.27/185.66 Kept: 124000
% 185.27/185.66 Inuse: 1480
% 185.27/185.66 Deleted: 1651
% 185.27/185.66 Deletedinuse: 16
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 512849
% 185.27/185.66 Kept: 126500
% 185.27/185.66 Inuse: 1500
% 185.27/185.66 Deleted: 1652
% 185.27/185.66 Deletedinuse: 17
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 530505
% 185.27/185.66 Kept: 129649
% 185.27/185.66 Inuse: 1525
% 185.27/185.66 Deleted: 1652
% 185.27/185.66 Deletedinuse: 17
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 543082
% 185.27/185.66 Kept: 133880
% 185.27/185.66 Inuse: 1537
% 185.27/185.66 Deleted: 1653
% 185.27/185.66 Deletedinuse: 18
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 552060
% 185.27/185.66 Kept: 136373
% 185.27/185.66 Inuse: 1550
% 185.27/185.66 Deleted: 1653
% 185.27/185.66 Deletedinuse: 18
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 561271
% 185.27/185.66 Kept: 139102
% 185.27/185.66 Inuse: 1565
% 185.27/185.66 Deleted: 1653
% 185.27/185.66 Deletedinuse: 18
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 588525
% 185.27/185.66 Kept: 142900
% 185.27/185.66 Inuse: 1590
% 185.27/185.66 Deleted: 1653
% 185.27/185.66 Deletedinuse: 18
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying clauses:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 608436
% 185.27/185.66 Kept: 146624
% 185.27/185.66 Inuse: 1615
% 185.27/185.66 Deleted: 1721
% 185.27/185.66 Deletedinuse: 18
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 617334
% 185.27/185.66 Kept: 148961
% 185.27/185.66 Inuse: 1635
% 185.27/185.66 Deleted: 1722
% 185.27/185.66 Deletedinuse: 19
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 629708
% 185.27/185.66 Kept: 152975
% 185.27/185.66 Inuse: 1643
% 185.27/185.66 Deleted: 1724
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 638256
% 185.27/185.66 Kept: 156002
% 185.27/185.66 Inuse: 1644
% 185.27/185.66 Deleted: 1724
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 647260
% 185.27/185.66 Kept: 158308
% 185.27/185.66 Inuse: 1660
% 185.27/185.66 Deleted: 1724
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 659958
% 185.27/185.66 Kept: 160711
% 185.27/185.66 Inuse: 1670
% 185.27/185.66 Deleted: 1724
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 670741
% 185.27/185.66 Kept: 162712
% 185.27/185.66 Inuse: 1691
% 185.27/185.66 Deleted: 1724
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying clauses:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 694632
% 185.27/185.66 Kept: 166003
% 185.27/185.66 Inuse: 1705
% 185.27/185.66 Deleted: 1871
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 704181
% 185.27/185.66 Kept: 168211
% 185.27/185.66 Inuse: 1730
% 185.27/185.66 Deleted: 1876
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 714461
% 185.27/185.66 Kept: 170272
% 185.27/185.66 Inuse: 1750
% 185.27/185.66 Deleted: 1876
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 725133
% 185.27/185.66 Kept: 172714
% 185.27/185.66 Inuse: 1770
% 185.27/185.66 Deleted: 1876
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 748817
% 185.27/185.66 Kept: 174735
% 185.27/185.66 Inuse: 1793
% 185.27/185.66 Deleted: 1876
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 770290
% 185.27/185.66 Kept: 180073
% 185.27/185.66 Inuse: 1800
% 185.27/185.66 Deleted: 1876
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66
% 185.27/185.66 Intermediate Status:
% 185.27/185.66 Generated: 788505
% 185.27/185.66 Kept: 184547
% 185.27/185.66 Inuse: 1805
% 185.27/185.66 Deleted: 1876
% 185.27/185.66 Deletedinuse: 21
% 185.27/185.66
% 185.27/185.66 Resimplifying inuse:
% 185.27/185.66 Done
% 185.27/185.66
% 185.27/185.66 Resimplifying clauses:
% 185.27/185.66 DoCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------