TSTP Solution File: SWV830-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV830-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:43 EDT 2022
% Result : Timeout 300.07s 300.61s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV830-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 07:41:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.99/1.39 *** allocated 10000 integers for termspace/termends
% 0.99/1.39 *** allocated 10000 integers for clauses
% 0.99/1.39 *** allocated 10000 integers for justifications
% 0.99/1.39 *** allocated 15000 integers for termspace/termends
% 0.99/1.39 *** allocated 22500 integers for termspace/termends
% 0.99/1.39 Bliksem 1.12
% 0.99/1.39
% 0.99/1.39
% 0.99/1.39 Automatic Strategy Selection
% 0.99/1.39
% 0.99/1.39 Clauses:
% 0.99/1.39 [
% 0.99/1.39 [ 'c_Orderings_Olinorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 0.99/1.39 , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Olinorder'( X, Z, Y ) ) ],
% 0.99/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.39 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Y ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.39 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.39 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.99/1.39 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.99/1.39 [ 'c_Natural_Oevaln'( X, Y, 'c_Suc'( Z ), T ), ~( 'c_Natural_Oevaln'( X
% 0.99/1.39 , Y, Z, T ) ) ],
% 0.99/1.39 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.39 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 0.99/1.39 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.99/1.39 'tc_bool' ) ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 0.99/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.39 ) ) ), Y ), Y ) ],
% 0.99/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.99/1.39 'tc_bool' ) ) ), Y ) ],
% 0.99/1.39 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 0.99/1.39 T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.39 Z, 'tc_bool' ) ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.39 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.99/1.39 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 0.99/1.39 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 0.99/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 0.99/1.39 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.39 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 0.99/1.39 , 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , T ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.39 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.39 ), Y ), Z ) ) ) ],
% 0.99/1.39 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 0.99/1.39 'tc_bool' ) ), Y ), Y ) ) ) ],
% 0.99/1.39 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ), hBOOL( hAPP(
% 0.99/1.39 hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), T ), Z ) ), ~( hBOOL( hAPP(
% 0.99/1.39 hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.99/1.39 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.39 ), Y ) ) ],
% 0.99/1.39 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.99/1.39 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.99/1.39 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.39 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.39 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL(
% 0.99/1.39 hAPP( hAPP( 'c_in'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z )
% 0.99/1.39 , T ) ) ],
% 0.99/1.39 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.39 ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ), hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_in'( X ), T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z
% 0.99/1.39 ) ) ) ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.39 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.39 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.39 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.39 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.99/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Y ), T ) ) ) ],
% 0.99/1.39 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.39 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.99/1.39 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 0.99/1.39 Z, Y, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool'
% 0.99/1.39 ) ), hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ) ), Z ) ) ), ~(
% 0.99/1.39 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.99/1.39 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.99/1.39 Y, Z ) ],
% 0.99/1.39 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.99/1.39 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.99/1.39 ), =( Y, W ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.99/1.39 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.99/1.39 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.99/1.39 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.99/1.39 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.99/1.39 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.99/1.39 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.99/1.39 , U ) ) ],
% 0.99/1.39 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.99/1.39 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.99/1.39 , U ) ) ],
% 0.99/1.39 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.99/1.39 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.99/1.39 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.39 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.39 X, 'tc_bool' ) ), Z ), T ) ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.39 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 0.99/1.39 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.99/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.39 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 0.99/1.39 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.99/1.39 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.99/1.39 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.99/1.39 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 0.99/1.39 hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 0.99/1.39 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.39 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.39 , T ), U ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP(
% 0.99/1.39 'c_Set_Oimage'( Y, Z, X ), U ) ) ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.39 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.39 , Y ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.39 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.39 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.99/1.39 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.99/1.39 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.99/1.39 , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.99/1.39 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.99/1.39 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 0.99/1.39 , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.99/1.39 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.39 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.99/1.39 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.39 X ), Y ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.39 'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 0.99/1.39 ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Otop__class_Otop'(
% 0.99/1.39 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.99/1.39 , 'tc_bool' ) ) ) ],
% 0.99/1.39 [ ~( =( 'c_Finite__Set_Osetsum'( X, Y, Z, 'tc_nat' ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.99/1.39 , Z ) ), =( hAPP( X, T ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.99/1.39 hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ) ],
% 0.99/1.39 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.99/1.39 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.99/1.39 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 0.99/1.39 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.99/1.39 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.99/1.39 , T, X ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.39 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.99/1.39 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.39 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), U ) )
% 0.99/1.39 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.99/1.39 , U ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'(
% 0.99/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z, X ) ) ],
% 0.99/1.39 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.39 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.39 hAPP( 'c_Set_Oimage'( U, X, T ), Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ),
% 0.99/1.39 Z ) ) ) ), ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'(
% 0.99/1.39 'tc_fun'( X, 'tc_bool' ) ), X, T ) ) ],
% 0.99/1.39 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.99/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.39 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.39 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.99/1.39 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.39 'tc_fun'( Y, 'tc_bool' ) ), U ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.39 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) ) ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( 'c_Set_Oimage'( Z, T, Y ), U ) ) )
% 0.99/1.40 ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.99/1.40 , X, U, Y, W ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), Y ),
% 0.99/1.40 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), Y, Z ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_Orderings_Olinorder'(
% 0.99/1.40 'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( Y, X ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), T ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~(
% 0.99/1.40 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.99/1.40 ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 0.99/1.40 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 0.99/1.40 X, T ) ) ],
% 0.99/1.40 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 0.99/1.40 , T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X )
% 0.99/1.40 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , T ), Z ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.99/1.40 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.40 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.99/1.40 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.99/1.40 'tc_bool' ), Y, 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool'
% 0.99/1.40 ), X ), X, 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 0.99/1.40 't_a' ), 'v_x' ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.99/1.40 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.99/1.40 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.99/1.40 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 0.99/1.40 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 0.99/1.40 ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.40 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 0.99/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.40 X ) ) ), =( Y, Z ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.40 X ) ) ), =( Y, Z ) ],
% 0.99/1.40 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.99/1.40 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ),
% 0.99/1.40 T ), U ), hAPP( hAPP( X, Y ), W ), Z, Z ), hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.99/1.40 , T ), U ) ), ~( 'c_Finite__Set_Ofold__graph'( X, T, U, W, Z, Z ) ), ~(
% 0.99/1.40 'c_OrderedGroup_Oab__semigroup__mult'( X, Z ) ) ],
% 0.99/1.40 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 0.99/1.40 Y, Z, X, T, U ) ), hAPP( X,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.99/1.40 ) ), ~( =( hAPP( X, hAPP( Z,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 0.99/1.40 ), hAPP( X, hAPP( Z,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.99/1.40 ) ) ), 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Z, T, T ), Y ), T, U )
% 0.99/1.40 , ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T )
% 0.99/1.40 ) ],
% 0.99/1.40 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 0.99/1.40 Y, Z, X, T, U ) ), hAPP( X,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.99/1.40 ) ), ~( =( hAPP( X, hAPP( Z,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 0.99/1.40 ), hAPP( X, hAPP( Z,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.99/1.40 ) ) ), 'c_Fun_Oinj__on'( X, Y, T, U ), ~( 'c_Fun_Oinj__on'( X, hAPP(
% 0.99/1.40 'c_Set_Oimage'( Z, T, T ), Y ), T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, Z, Z ), T ), Z, U ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( X, T, Z, U ) ), ~( 'c_Fun_Oinj__on'( Y, T, Z, Z ) ),
% 0.99/1.40 =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( T, Y,
% 0.99/1.40 X, Z, U ) ), hAPP( X,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( T, Y, X, Z, U ) )
% 0.99/1.40 ), =( hAPP( X, hAPP( Y,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( T, Y, X, Z, U ) )
% 0.99/1.40 ), hAPP( X, hAPP( Y,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( T, Y, X, Z, U ) )
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP(
% 0.99/1.40 'c_Set_Oimage'( U, Z, Z ), Y ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z
% 0.99/1.40 ) ), =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 0.99/1.40 Y, U, X, Z, T ) ), hAPP( X,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z, T ) )
% 0.99/1.40 ), =( hAPP( X, hAPP( U,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 0.99/1.40 ), hAPP( X, hAPP( U,
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z, T ) )
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 'c_Set_Ovimage'( Y, X, Z ), T ) ), hAPP( 'c_Set_Ovimage'( Y, X, Z ), U )
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T
% 0.99/1.40 ), U ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Fun_Othe__inv__into'( 'c_Orderings_Otop__class_Otop'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), hAPP( Y, T ) ), T ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), X, Z ) ) ],
% 0.99/1.40 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OInf__class_OInf'( 'c_List_Oset'( Y, X ), X ),
% 0.99/1.40 'c_List_Ofoldl'( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( X ), Y, X, X ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.99/1.40 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.99/1.40 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 0.99/1.40 ), T ) ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), T ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), T ), Y ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y
% 0.99/1.40 ) ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.99/1.40 'tc_bool' ), Z ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y ) ),
% 0.99/1.40 hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Z
% 0.99/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.99/1.40 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.99/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.99/1.40 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 0.99/1.40 Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 0.99/1.40 , Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 0.99/1.40 ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.99/1.40 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a',
% 0.99/1.40 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ) ), hAPP( 'c_COMBC'( 'c_in'(
% 0.99/1.40 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), Y ) ), 'v_x' )
% 0.99/1.40 , hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', 'tc_bool'
% 0.99/1.40 ) ), X ), Y ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_in'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.40 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 0.99/1.40 ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.99/1.40 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.99/1.40 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.99/1.40 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.99/1.40 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.99/1.40 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.99/1.40 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.99/1.40 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 0.99/1.40 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 0.99/1.40 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.99/1.40 X ), 'c_Finite__Set_Ocard'( Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.99/1.40 Y ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.99/1.40 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.99/1.40 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.99/1.40 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.99/1.40 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.99/1.40 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), 'c_Finite__Set_Ofold1'(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y, X ) ), Z ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.99/1.40 Y, X ) ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 0.99/1.40 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( U, T, Y ), Z ) ), X ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T,
% 0.99/1.40 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.40 hAPP( 'c_Set_Oimage'( W, Y, T ), X ) ), Z ) ) ), ~( 'c_Fun_Oinj__on'( W,
% 0.99/1.40 X, Y, T ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.99/1.40 Z ) ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.99/1.40 Z ) ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ), Y ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ), Z ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( 'c_List_Oset'( X, Y ), Y ) ],
% 0.99/1.40 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.99/1.40 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.99/1.40 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 0.99/1.40 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.99/1.40 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.99/1.40 Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.99/1.40 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 0.99/1.40 Y ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.99/1.40 , U, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.40 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Z ), T ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z )
% 0.99/1.40 , 'c_Finite__Set_Ocard'( T, Y ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) )
% 0.99/1.40 , 'c_Fun_Oinj__on'( X, T, Y, Z ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.99/1.40 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 0.99/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 0.99/1.40 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.99/1.40 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 0.99/1.40 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.99/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 0.99/1.40 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 0.99/1.40 ), Z ) ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 0.99/1.40 ), T ) ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 0.99/1.40 ), Z ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.40 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y, T, Z, X )
% 0.99/1.40 ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), U ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ) ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 0.99/1.40 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( Y, X ) ), ~(
% 0.99/1.40 'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =(
% 0.99/1.40 'c_Finite__Set_Ofold1'( T, hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ), X ), hAPP( hAPP( T, 'c_Finite__Set_Ofold1'( T, Y, X ) ),
% 0.99/1.40 'c_Finite__Set_Ofold1'( T, Z, X ) ) ) ],
% 0.99/1.40 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.99/1.40 Y, X ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.99/1.40 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.99/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 0.99/1.40 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.40 , T ), X ), Y ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.40 , X ), T ), Y ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.99/1.40 ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), Y ), hAPP( 'c_Set_Oimage'( X, Z, Z ), Y ) ) )
% 0.99/1.40 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.99/1.40 [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 0.99/1.40 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 0.99/1.40 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.40 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.99/1.40 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.99/1.40 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.99/1.40 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.99/1.40 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), X ) ],
% 0.99/1.40 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.99/1.40 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T,
% 0.99/1.40 U ), U, T ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) )
% 0.99/1.40 , T ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Y, U, Z ),
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ), Z ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 0.99/1.40 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Y ) ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 0.99/1.40 ) ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 0.99/1.40 ) ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 0.99/1.40 ) ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 0.99/1.40 ) ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.99/1.40 Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.99/1.40 Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.99/1.40 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 0.99/1.40 , hAPP( 'c_Set_Oimage'( U, X, T ), Y ) ), hAPP( 'c_Set_Oimage'( U, X, T )
% 0.99/1.40 , Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), U ) )
% 0.99/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.99/1.40 , U ) ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.99/1.40 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), T ), Y ) ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), T ) ), Z ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), Y ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.99/1.40 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.99/1.40 , Y ) ],
% 0.99/1.40 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.99/1.40 , Y ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ) ), Z ), T ) ), T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ) ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.99/1.40 ), U ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z,
% 0.99/1.40 'tc_bool' ) ), X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.99/1.40 Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 0.99/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.99/1.40 Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.99/1.40 X ), 'c_Suc'( 'c_Finite__Set_Ocard'( Z, X ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( 'c_Finite__Set_Ocard'(
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X ), 'c_Suc'(
% 0.99/1.40 'c_Finite__Set_Ocard'( Z, X ) ) ), =( 'c_Finite__Set_Ocard'( Z, X ),
% 0.99/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( 'c_Fun_Othe__inv__into'( Y, Z, X
% 0.99/1.40 , T ), U ) ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( Z, X, T ), Y ) ) ) ), ~( 'c_Fun_Oinj__on'( Z, Y, X, T ) )
% 0.99/1.40 ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OSup__class_OSup'( 'c_List_Oset'( Y, X ), X ),
% 0.99/1.40 'c_List_Ofoldl'( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ), Y, X, X ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 'c_Set_Ovimage'( Y, X, Z ), T ) ), U ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP( 'c_Set_Oimage'( Y
% 0.99/1.40 , X, Z ), U ) ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), T ) ) ), ~( =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , T ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.99/1.40 ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ),
% 0.99/1.40 T ), U ), hAPP( hAPP( X, T ), W ), Z, V0 ), ~(
% 0.99/1.40 'c_Finite__Set_Ofold__graph'( X, Y, U, W, Z, V0 ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( Z ), T ), U ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.99/1.40 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), T ), Y ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.99/1.40 ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), T ), Z ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 X ), Y ), T ) ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Z ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.99/1.40 Y, T, X ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 0.99/1.40 ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, U, X ), W ) ), T ) )
% 0.99/1.40 ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 0.99/1.40 ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.99/1.40 ), Y ), W ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 0.99/1.40 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 0.99/1.40 , Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U,
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T
% 0.99/1.40 ) ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 0.99/1.40 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 0.99/1.40 , Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, Y, U, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ), U, T ),
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( X, Z, T ), hAPP( 'c_Set_Oimage'( Y, U, Z ),
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.40 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ) ) ) ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP( 'c_Set_Oinsert'( Z ),
% 0.99/1.40 T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.40 , U ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ), W, Z, Z
% 0.99/1.40 ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X, T, U, W, Z
% 0.99/1.40 , Z ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, Z ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ) ) ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T )
% 0.99/1.40 ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.40 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), U ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), Z, X ),
% 0.99/1.40 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.40 U ), T ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ),
% 0.99/1.40 'c_Finite__Set_Ocard'( Y, X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y )
% 0.99/1.40 ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y, U ) ), U ),
% 0.99/1.40 ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X ) ) ), ~( 'c_Fun_Oinj__on'( Y,
% 0.99/1.40 X, Z, T ) ) ],
% 0.99/1.40 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP( 'c_Fun_Othe__inv__into'(
% 0.99/1.40 Y, X, Z, T ), hAPP( X, U ) ), U ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U )
% 0.99/1.40 , Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z
% 0.99/1.40 , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.99/1.40 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( X,
% 0.99/1.40 'c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1'( Y, X
% 0.99/1.40 , Z, T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) )
% 0.99/1.40 ), =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, X, Z,
% 0.99/1.40 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.40 'tc_bool' ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( X,
% 0.99/1.40 'c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1'( Y, X
% 0.99/1.40 , Z, T ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) )
% 0.99/1.40 ), =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, X, Z, 'tc_fun'(
% 0.99/1.40 T, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ocard'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.99/1.40 X ), 'c_Suc'( 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ), X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.99/1.40 ), Y ), hAPP( hAPP( X, Z ), 'c_Finite__Set_Ofold1'( X, T, Y ) ) ), hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_in'( Y ), Z ), T ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) )
% 0.99/1.40 , =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.99/1.40 'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Z ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Y ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.99/1.40 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.99/1.40 'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.99/1.40 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ),
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.99/1.40 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'( U, X
% 0.99/1.40 , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.99/1.40 , hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ), X ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T
% 0.99/1.40 ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) )
% 0.99/1.40 ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( Y, Z, T ), X ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T )
% 0.99/1.40 ) ],
% 0.99/1.40 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.99/1.40 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ), =( T, U ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), T, Z )
% 0.99/1.40 , hAPP( 'c_Set_Oimage'( Y, Z, T ), X ) ), X ), ~( 'c_Fun_Oinj__on'( Y, X
% 0.99/1.40 , Z, T ) ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ocard'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.99/1.40 'c_Finite__Set_Ocard'( T, Y ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, Z ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.99/1.40 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( Y, Z, X ), T ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), U ) )
% 0.99/1.40 ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'(
% 0.99/1.40 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Z ), Z,
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.99/1.40 , 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' )
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 0.99/1.40 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Z ), Y ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ), Y ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.99/1.40 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.99/1.40 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( X ), 'c_Complete__Lattice_OInf__class_OInf'( Y, X )
% 0.99/1.40 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Otop__class_Otop'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( Y, Z, X ), hAPP( 'c_Set_Ovimage'( Y, Z, X ), T ) ) ), T )
% 0.99/1.40 ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.99/1.40 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ),
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Natural_Oevaln'( T, U, W, Z )
% 0.99/1.40 ), ~( hBOOL( hAPP( hAPP( V0, Y ), U ) ) ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple__valid'( W, hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), T ), X ), 't_a' ) )
% 0.99/1.40 ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ), T ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.40 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.40 'tc_bool' ) ) ) ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ) ),
% 0.99/1.40 hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( Y, T, Z, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.40 , T ), U ), Z, X ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ) ),
% 0.99/1.40 hAPP( 'c_Set_Oimage'( Y, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.40 , T ), U ), Z, X ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), T, U ), W
% 0.99/1.40 ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ), hAPP( 'c_Set_Oimage'( X, T, U
% 0.99/1.40 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) )
% 0.99/1.40 , W ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W ) ) ) ],
% 0.99/1.40 [ 'c_Natural_Oevaln'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, 'c_Suc'( Z ), T
% 0.99/1.40 ), ~( 'c_Natural_Oevaln'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.99/1.40 'c_Com_Obody', X ) ), Y, Z, T ) ) ],
% 0.99/1.40 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.99/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( W ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.99/1.40 'tc_bool' ) ) ) ), U, W, V0 ) ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Osetsum'( X, hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ) ) ), Y, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Z, Y,
% 0.99/1.40 'tc_nat' ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), Z ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T ) )
% 0.99/1.40 ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ),
% 0.99/1.40 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T
% 0.99/1.40 ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y
% 0.99/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ) ) ],
% 0.99/1.40 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.99/1.40 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( W ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.99/1.40 'tc_bool' ) ) ) ), U, W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ),
% 0.99/1.40 Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ), X ), 'c_Suc'( 'c_Finite__Set_Ocard'(
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.40 'tc_nat' ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.99/1.40 Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ), T ), X ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 0.99/1.40 , 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ), Y ) ), =( Y,
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.99/1.40 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.99/1.40 T ) ), T ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 0.99/1.40 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_in'( Y ), X ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.40 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.99/1.40 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.40 , U ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), T ), W ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.40 hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.99/1.40 U ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.99/1.40 Y, 'tc_bool' ) ), Y, Z ) ) ],
% 0.99/1.40 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), =( 'c_Finite__Set_Ofold1'( T
% 0.99/1.40 , hAPP( hAPP( 'c_Set_Oinsert'( U ), W ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( U, 'tc_bool' ) ) ), U ), W ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 Z, 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z,
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.99/1.40 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.40 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.99/1.40 , X ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.99/1.40 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.99/1.40 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.99/1.40 ) ), Y, 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.99/1.40 , 'tc_bool' ), X ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.99/1.40 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( Y ), Z ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 0.99/1.40 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.99/1.40 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z
% 0.99/1.40 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( 't_a', 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a',
% 0.99/1.40 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ) ), hAPP( 'c_COMBC'( 'c_in'(
% 0.99/1.40 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), Y ) ), 'v_x' )
% 0.99/1.40 , hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', 'tc_bool'
% 0.99/1.40 ) ), X ), Y ) ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, Z, Z ), T ), Z, U ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( X, T, Z, U ) ), ~( 'c_Fun_Oinj__on'( Y, T, Z, Z ) ),
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( T, Y, X, Z, U ) )
% 0.99/1.40 , T ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP(
% 0.99/1.40 'c_Set_Oimage'( U, Z, Z ), Y ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z
% 0.99/1.40 ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 0.99/1.40 , Y ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, Z, Z ), T ), Z, U ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( X, T, Z, U ) ), ~( 'c_Fun_Oinj__on'( Y, T, Z, Z ) ),
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( T, Y, X, Z, U ) )
% 0.99/1.40 , T ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP(
% 0.99/1.40 'c_Set_Oimage'( U, Z, Z ), Y ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z
% 0.99/1.40 ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.40 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z, T ) )
% 0.99/1.40 , Y ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Oimage'( X, T, U ), W ) ) ),
% 0.99/1.40 ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 0.99/1.40 [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T ), U ) ), U ),
% 0.99/1.40 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), hAPP( 'c_Set_Oimage'( X, Z, T ),
% 0.99/1.40 Y ) ) ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.99/1.40 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.99/1.40 'tc_bool' ) ), T, X ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ),
% 0.99/1.40 ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), X, T ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.99/1.40 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( Y ), Z ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 0.99/1.40 Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), X ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ),
% 0.99/1.40 'c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1'( Y, Z
% 0.99/1.40 , T, X ) ), Y ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.99/1.40 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.40 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.99/1.40 'c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1'( X, Y
% 0.99/1.40 , Z, T ) ), X ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.40 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 0.99/1.40 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 0.99/1.40 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 0.99/1.40 , X ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~(
% 0.99/1.40 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.99/1.40 [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ), X ) ), 'c_Finite__Set_Ocard'( Y, X ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Z ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_List_Oset'( Y,
% 0.99/1.40 Z ), T, Z, X ), 'c_List_Ofoldl'( 'c_COMBC'( 'c_COMBB'(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T, X, 'tc_fun'( X, X )
% 0.99/1.40 , Z ), Z, X, X ), 'c_Orderings_Obot__class_Obot'( X ), Y, X, Z ) ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.99/1.40 Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 0.99/1.40 T ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), U ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), Z, X ),
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 0.99/1.40 , T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ),
% 0.99/1.40 T ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.40 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), U ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), Z, X ),
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 0.99/1.40 , T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ),
% 0.99/1.40 T ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.99/1.40 , Y ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_COMBS'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.99/1.40 hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Com_Ocom_OSKIP', hAPP( 'c_Com_Ocom_OBODY', X ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), hAPP( 'c_Com_Ocom_OBODY', Z ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.40 , Y ), U ), Z, T ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.40 , U ), Y ), Z, T ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.99/1.40 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.99/1.40 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.99/1.40 ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Z ), Y ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.40 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , T ), Z ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.99/1.40 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.99/1.40 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.99/1.40 U, 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.99/1.40 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.99/1.40 Y, T, X ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( T ), hAPP( U, Y ) ), hAPP( 'c_Set_Oimage'( U, X, T ), Z ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.40 T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Z, T ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), Z ) ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( Y, T, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( T, 'tc_bool' ) ), U ), hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ) ),
% 0.99/1.40 ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP( 'c_Set_Oinsert'( T ), Z ), U ), T, X
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 0.99/1.40 ), hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( X, Z ) ), hAPP( 'c_Set_Oimage'(
% 0.99/1.40 X, Y, U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), T ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ) ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( X, T, Y, U ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ), Z ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.99/1.40 , hAPP( hAPP( 'c_Set_Oinsert'( T ), hAPP( Z, Y ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), hAPP(
% 0.99/1.40 'c_Set_Ovimage'( X, T, U ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ) ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ), Y, Z ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 0.99/1.40 ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.99/1.40 , 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X )
% 0.99/1.40 , Y ), T ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.99/1.40 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.99/1.40 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.99/1.40 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.99/1.40 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( U ), Z ), hAPP( 'c_Set_Ovimage'( Y, U, X ), T ) ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.99/1.40 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.99/1.40 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_Set_Ovimage'( Z, X, T )
% 0.99/1.40 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), hAPP( Z, Y ) ), U ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ),
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP(
% 0.99/1.40 Z, 'v_x' ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.99/1.40 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.99/1.40 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.99/1.40 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.40 'tc_bool' ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.40 X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ),
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.99/1.40 X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.99/1.40 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.99/1.40 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.99/1.40 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.99/1.40 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.99/1.40 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.99/1.40 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.99/1.40 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.99/1.40 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.99/1.40 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~(
% 0.99/1.40 'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 0.99/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.99/1.40 , 'tc_bool' ) ), Y ), Z ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.99/1.40 , W ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.99/1.40 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.99/1.40 ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.99/1.40 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~(
% 0.99/1.40 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z,
% 0.99/1.40 Y, U ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ) ),
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ),
% 0.99/1.40 hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z )
% 0.99/1.40 , U ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.99/1.40 , T ) ],
% 0.99/1.40 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.99/1.40 , Z ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, Y, Z ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), Y, Z ) ) ],
% 0.99/1.40 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.99/1.40 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.99/1.40 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_in'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 0.99/1.40 , Z ), T ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.99/1.40 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.99/1.40 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.99/1.40 [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'(
% 0.99/1.40 Z, T, Y ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.99/1.40 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.99/1.40 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.99/1.40 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.99/1.40 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.99/1.40 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL(
% 0.99/1.40 hAPP( T, hAPP( X, U ) ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.99/1.40 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.99/1.40 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.99/1.40 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.99/1.40 ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.99/1.40 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.99/1.40 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.99/1.40 , Y ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 0.99/1.40 , ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z ), U ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.99/1.40 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.99/1.40 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.99/1.40 'tc_bool' ) ), hAPP( T, Y ) ),
% 0.99/1.40 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.99/1.40 U, 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.99/1.40 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.40 , T ), U ), Y, Z ) ), =( T, U ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.99/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.99/1.40 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 0.99/1.40 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 0.99/1.40 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP(
% 0.99/1.40 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.99/1.40 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.99/1.40 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP(
% 0.99/1.40 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.99/1.40 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.99/1.40 ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.99/1.40 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.99/1.40 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP(
% 0.99/1.40 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.99/1.40 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP(
% 0.99/1.40 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.99/1.40 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.99/1.40 , T ) ), U ), Y ), ~( 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP(
% 0.99/1.40 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP(
% 0.99/1.40 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y )
% 0.99/1.40 ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Otriple__valid'( X, hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Option_Othe'(
% 0.99/1.40 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', T ) ) ), U ), Y ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple__valid'( 'c_Suc'( X ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), hAPP( 'c_Com_Ocom_OBODY'
% 0.99/1.40 , T ) ), U ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.99/1.40 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.99/1.40 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.40 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Z )
% 0.99/1.40 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.40 'tc_bool' ) ) ) ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_COMBB'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.99/1.40 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.99/1.40 ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), hAPP( Z, T ) ), hAPP(
% 0.99/1.40 'c_Com_Ocom_OBODY', T ) ), hAPP( U, T ) ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 Y ), 'tc_bool' ) ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_Com_Opname'
% 0.99/1.40 ), T ), W ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), X ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 'tc_fun'( Y, 'tc_fun'(
% 0.99/1.40 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.99/1.40 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ),
% 0.99/1.40 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 0.99/1.40 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 Y ) ) ), U, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.99/1.40 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W ) ), hAPP( 'c_Set_Oimage'(
% 0.99/1.40 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.99/1.40 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.40 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.99/1.40 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.99/1.40 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.99/1.40 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.99/1.40 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.99/1.40 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), U
% 0.99/1.40 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.99/1.40 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), W ), Y ) ) ],
% 0.99/1.40 [ 'c_Natural_Oevalc'( hAPP( 'c_Com_Ocom_OBODY', X ), Y, Z ), ~(
% 0.99/1.40 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.99/1.40 'c_Com_Obody', X ) ), Y, Z ) ) ],
% 0.99/1.40 [ 'c_Natural_Oevalc'( hAPP( 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP(
% 0.99/1.40 'c_Com_Obody', X ) ), Y, Z ), ~( 'c_Natural_Oevalc'( hAPP(
% 0.99/1.40 'c_Com_Ocom_OBODY', X ), Y, Z ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_Set_Oimage'(
% 0.99/1.40 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.99/1.40 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.40 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.99/1.40 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.99/1.40 , 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'(
% 0.99/1.40 Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y,
% 0.99/1.40 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 Y ) ), 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ),
% 0.99/1.40 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), X ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( 'c_COMBB'(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z, 'tc_fun'( Y, 'tc_fun'(
% 0.99/1.40 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.99/1.40 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' ),
% 0.99/1.40 'c_Com_Ocom_OBODY', 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y
% 0.99/1.40 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 Y ) ) ), T, 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.99/1.40 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ) ), hAPP( 'c_Set_Oimage'(
% 0.99/1.40 'c_COMBS'( 'c_COMBS'( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y
% 0.99/1.40 ), Z, 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.99/1.40 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate',
% 0.99/1.40 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), 'tc_Com_Opname' )
% 0.99/1.40 , 'c_COMBB'( 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody',
% 0.99/1.40 'tc_Option_Ooption'( 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ),
% 0.99/1.40 'tc_Com_Opname', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( Y, 'tc_fun'(
% 0.99/1.40 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ) ), T
% 0.99/1.40 , 'tc_Com_Opname', 'tc_fun'( Y, 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) )
% 0.99/1.40 , 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'tc_Com_Opname',
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), U ), Y ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSKIP' ), Z )
% 0.99/1.40 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSemi'( T, U
% 0.99/1.40 ) ), W ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.99/1.40 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ), hAPP(
% 0.99/1.40 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.99/1.40 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.99/1.40 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 0.99/1.40 ) ), hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, T, Y, Z, U ), U, Z ), W ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.99/1.40 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.99/1.40 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.99/1.40 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.99/1.40 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.99/1.40 U ), W ), V0 ) ) ), =( T, V0 ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.99/1.40 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.99/1.40 U ), W ), V0 ) ) ), =( Z, W ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.99/1.40 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.99/1.40 U ), W ), V0 ) ) ), =( Y, U ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 0.99/1.40 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ) ), Y ) ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ), Y ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.99/1.40 ) ) ), Y ), Y ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.99/1.40 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.99/1.40 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.40 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ) ) ],
% 0.99/1.40 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.99/1.40 U ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.99/1.40 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.99/1.40 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.99/1.40 , 'tc_bool' ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), T ) ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.40 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.99/1.40 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 0.99/1.40 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 0.99/1.40 hBOOL( hAPP( Z, T ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.99/1.40 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.99/1.40 [ ~( =( hAPP( 'c_Com_Ocom_OBODY', X ), hAPP( 'c_Com_Ocom_OBODY', Y ) ) )
% 0.99/1.40 , =( X, Y ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.99/1.40 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.99/1.40 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.99/1.40 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.99/1.40 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.99/1.40 'tc_bool' ) ) ) ) ],
% 0.99/1.40 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'v_P' ), hAPP(
% 0.99/1.40 'c_Com_Ocom_OBODY', 'v_pn' ) ), 'v_Q' ) ), 'v_G' ), hAPP( hAPP(
% 0.99/1.40 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), hAPP( hAPP(
% 0.99/1.40 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'v_P' ), hAPP(
% 0.99/1.40 'c_Option_Othe'( 'tc_Com_Ocom' ), hAPP( 'c_Com_Obody', 'v_pn' ) ) ),
% 0.99/1.40 'v_Q' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a' ) ],
% 0.99/1.40 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 0.99/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 'v_G' ), hAPP(
% 0.99/1.40 'c_Set_Oimage'( hAPP( 'c_COMBC'( 'c_COMBB'( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'v_P' ),
% 0.99/1.40 'c_Com_Ocom_OBODY', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'(
% 0.99/1.40 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.99/1.40 , 'tc_Com_Opname' ), 'tc_Com_Opname', 'tc_fun'( 't_a', 'tc_fun'(
% 0.99/1.40 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.99/1.40 , 'v_Q' ), 'tc_Com_Opname', 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.99/1.40 'v_Procs' ) ), hAPP( 'c_Set_Oimage'( hAPP( 'c_COMBC'( 'c_COMBB'( hAPP(
% 0.99/1.40 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'v_P' ), 'c_COMBB'(
% 0.99/1.40 'c_Option_Othe'( 'tc_Com_Ocom' ), 'c_Com_Obody', 'tc_Option_Ooption'(
% 0.99/1.40 'tc_Com_Ocom' ), 'tc_Com_Ocom', 'tc_Com_Opname' ), 'tc_Com_Ocom',
% 0.99/1.40 'tc_fun'( 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_Com_Opname' ),
% 0.99/1.40 'tc_Com_Opname', 'tc_fun'( 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' )
% 0.99/1.40 ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_Q' ), 'tc_Com_Opname',
% 0.99/1.40 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_Procs' ), 't_a' ) ) ],
% 0.99/1.40 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.40 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.99/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.41 'class_Lattices_Olattice'( Y ) ) ],
% 0.99/1.41 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.41 'class_Lattices_Olattice'( Y ) ) ],
% 0.99/1.41 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.41 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.99/1.41 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.41 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.99/1.41 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.41 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.99/1.41 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.99/1.41 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.41 'class_Orderings_Opreorder'( Y ) ) ],
% 0.99/1.41 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.41 'class_Lattices_Olattice'( Y ) ) ],
% 0.99/1.41 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.41 'class_Orderings_Oorder'( Y ) ) ],
% 0.99/1.41 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.99/1.41 Y ) ) ],
% 0.99/1.41 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.99/1.41 Y ) ) ],
% 0.99/1.41 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.99/1.41 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.99/1.41 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_Option_Ooption'( X ) ), ~(
% 0.99/1.41 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.99/1.41 U ) ) ],
% 0.99/1.41 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ 'c_fequal'( X, X, Y ) ],
% 0.99/1.41 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.99/1.41 ] .
% 0.99/1.41
% 0.99/1.41
% 0.99/1.41 percentage equality = 0.274001, percentage horn = 0.865719
% 0.99/1.41 This is a problem with some equality
% 0.99/1.41
% 0.99/1.41
% 0.99/1.41
% 0.99/1.41 Options Used:
% 0.99/1.41
% 0.99/1.41 useres = 1
% 0.99/1.41 useparamod = 1
% 0.99/1.41 useeqrefl = 1
% 0.99/1.41 useeqfact = 1
% 0.99/1.41 usefactor = 1
% 0.99/1.41 usesimpsplitting = 0
% 0.99/1.41 usesimpdemod = 5
% 0.99/1.41 usesimpres = 3
% 0.99/1.41
% 0.99/1.41 resimpinuse = 1000
% 0.99/1.41 resimpclauses = 20000
% 0.99/1.41 substype = eqrewr
% 0.99/1.41 backwardsubs = 1
% 0.99/1.41 selectoldest = 5
% 0.99/1.41
% 0.99/1.41 litorderings [0] = split
% 0.99/1.41 litorderings [1] = extend the termordering, first sorting on arguments
% 0.99/1.41
% 0.99/1.41 termordering = kbo
% 0.99/1.41
% 0.99/1.41 litapriori = 0
% 0.99/1.41 termapriori = 1
% 0.99/1.41 litaposteriori = 0
% 0.99/1.41 termaposteriori = 0
% 0.99/1.41 demodaposteriori = 0
% 0.99/1.41 ordereqreflfact = 0
% 0.99/1.41
% 0.99/1.41 litselect = negord
% 0.99/1.41
% 0.99/1.41 maxweight = 15
% 0.99/1.41 maxdepth = 30000
% 0.99/1.41 maxlength = 115
% 0.99/1.41 maxnrvars = 195
% 0.99/1.41 excuselevel = 1
% 0.99/1.41 increasemaxweight = 1
% 0.99/1.41
% 0.99/1.41 maxselected = 10000000
% 0.99/1.41 maxnrclauses = 10000000
% 0.99/1.41
% 0.99/1.41 showgenerated = 0
% 0.99/1.41 showkept = 0
% 0.99/1.41 showselected = 0
% 0.99/1.41 showdeleted = 0
% 0.99/1.41 showresimp = 1
% 0.99/1.41 showstatus = 2000
% 0.99/1.41
% 0.99/1.41 prologoutput = 1
% 0.99/1.41 nrgoals = 5000000
% 0.99/1.41 totalproof = 1
% 0.99/1.41
% 0.99/1.41 Symbols occurring in the translation:
% 0.99/1.41
% 0.99/1.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.99/1.41 . [1, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.99/1.41 ! [4, 1] (w:0, o:102, a:1, s:1, b:0),
% 0.99/1.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.99/1.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.64 'tc_bool' [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.04/1.64 'c_COMBC' [42, 4] (w:1, o:195, a:1, s:1, b:0),
% 1.04/1.64 'c_Orderings_Olinorder' [44, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.04/1.64 'tc_fun' [45, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.04/1.64 'c_Lattices_Olower__semilattice__class_Oinf' [46, 1] (w:1, o:107, a:1
% 1.04/1.64 , s:1, b:0),
% 1.04/1.64 hAPP [48, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.04/1.64 'c_HOL_Ominus__class_Ominus' [49, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.04/1.64 'class_OrderedGroup_Ocomm__monoid__add' [52, 1] (w:1, o:109, a:1, s:1
% 1.04/1.64 , b:0),
% 1.04/1.64 'c_Orderings_Obot__class_Obot' [55, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.04/1.64 'c_Finite__Set_Osetsum' [56, 4] (w:1, o:196, a:1, s:1, b:0),
% 1.04/1.64 'c_HOL_Ozero__class_Ozero' [57, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.04/1.64 'c_Fun_Ofun__upd' [60, 5] (w:1, o:210, a:1, s:1, b:0),
% 1.04/1.64 'c_Suc' [65, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.04/1.64 'c_Natural_Oevaln' [67, 4] (w:1, o:197, a:1, s:1, b:0),
% 1.04/1.64 'c_lessequals' [68, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.04/1.64 hBOOL [70, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.04/1.64 'class_Lattices_Obounded__lattice' [71, 1] (w:1, o:115, a:1, s:1, b:0
% 1.04/1.64 ),
% 1.04/1.64 'c_Orderings_Otop__class_Otop' [72, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.04/1.64 'c_Set_Oimage' [73, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.04/1.64 'c_Set_Ovimage' [74, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.04/1.64 'class_Lattices_Olattice' [75, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.04/1.64 'c_Lattices_Oupper__semilattice__class_Osup' [76, 1] (w:1, o:118, a:1
% 1.04/1.64 , s:1, b:0),
% 1.04/1.64 'class_Orderings_Opreorder' [77, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.04/1.64 'c_HOL_Oord__class_Oless' [78, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.04/1.64 'class_HOL_Oord' [79, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.04/1.64 'class_Orderings_Oorder' [81, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.04/1.64 'class_Orderings_Olinorder' [82, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.04/1.64 'c_Finite__Set_Ocard' [83, 2] (w:1, o:172, a:1, s:1, b:0),
% 1.04/1.64 'tc_nat' [84, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.04/1.64 'c_Finite__Set_Ofinite' [85, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.04/1.64 'class_Orderings_Otop' [86, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.04/1.64 't_a' [87, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.04/1.64 'v_x' [88, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.04/1.64 'c_Set_Oinsert' [89, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.04/1.64 'c_in' [90, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.04/1.64 'class_Lattices_Olower__semilattice' [91, 1] (w:1, o:127, a:1, s:1
% 1.04/1.64 , b:0),
% 1.04/1.64 'c_Fun_Oinj__on' [92, 4] (w:1, o:198, a:1, s:1, b:0),
% 1.04/1.64 'c_SetInterval_Oord__class_OatLeastAtMost' [97, 3] (w:1, o:189, a:1
% 1.04/1.64 , s:1, b:0),
% 1.04/1.64 'c_OrderedGroup_Oab__semigroup__mult' [99, 2] (w:1, o:174, a:1, s:1
% 1.04/1.64 , b:0),
% 1.04/1.64 'class_Ring__and__Field_Oidom' [100, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.04/1.64
% 1.04/1.64 'class_Int_Onumber__ring' [101, 1] (w:1, o:130, a:1, s:1, b:0),
% 1.04/1.64 'class_OrderedGroup_Ogroup__add' [102, 1] (w:1, o:131, a:1, s:1, b:0)
% 1.04/1.64 ,
% 1.04/1.64 'class_OrderedGroup_Oab__group__add' [103, 1] (w:1, o:132, a:1, s:1
% 1.04/1.64 , b:0),
% 1.04/1.64 'c_SetInterval_Oord__class_OlessThan' [106, 2] (w:1, o:175, a:1, s:1
% 1.04/1.64 , b:0),
% 1.04/1.64 'c_COMBK' [107, 3] (w:1, o:190, a:1, s:1, b:0),
% 1.04/1.64 'c_Finite__Set_Ofold1' [111, 3] (w:1, o:191, a:1, s:1, b:0),
% 1.04/1.64 'c_Finite__Set_Ofold__graph' [112, 6] (w:1, o:216, a:1, s:1, b:0),
% 1.04/1.64 'c_Com_Ocom_OSemi' [116, 2] (w:1, o:176, a:1, s:1, b:0),
% 1.04/1.64 'c_Finite__Set_Olinorder__class_OMax' [121, 2] (w:1, o:177, a:1, s:1
% 1.04/1.64 , b:0),
% 1.04/1.64 'c_COMBB' [123, 5] (w:1, o:211, a:1, s:1, b:0),
% 1.04/1.64 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [124, 4] (w:1
% 1.04/1.64 , o:199, a:1, s:1, b:0),
% 1.04/1.64 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1' [128, 5] (w:1
% 1.04/1.64 , o:212, a:1, s:1, b:0),
% 1.04/1.64 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2' [129, 5] (w:1
% 1.04/1.64 , o:213, a:1, s:1, b:0),
% 1.04/1.64 'c_Fun_Othe__inv__into' [130, 4] (w:1, o:200, a:1, s:1, b:0),
% 1.04/1.64 'class_Complete__Lattice_Ocomplete__lattice' [131, 1] (w:1, o:133, a:
% 1.04/1.64 1, s:1, b:0),
% 1.04/1.64 'c_List_Oset' [133, 2] (w:1, o:178, a:1, s:1, b:0),
% 1.04/1.64 'c_Complete__Lattice_OInf__class_OInf' [134, 2] (w:1, o:179, a:1, s:1
% 1.04/1.64 , b:0),
% 1.04/1.64 'c_List_Ofoldl' [135, 5] (w:1, o:214, a:1, s:1, b:0),
% 1.04/1.64 'class_Ring__and__Field_Oordered__idom' [136, 1] (w:1, o:134, a:1, s:
% 9.00/9.39 1, b:0),
% 9.00/9.39 'class_OrderedGroup_Opordered__ab__group__add' [137, 1] (w:1, o:135
% 9.00/9.39 , a:1, s:1, b:0),
% 9.00/9.39 'c_Com_Ocom_OSKIP' [138, 0] (w:1, o:72, a:1, s:1, b:0),
% 9.00/9.39 'class_Finite__Set_Ofinite_Ofinite' [140, 1] (w:1, o:136, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'c_Complete__Lattice_OSup__class_OSup' [145, 2] (w:1, o:180, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'c_Natural_Oevalc' [147, 3] (w:1, o:185, a:1, s:1, b:0),
% 9.00/9.39 'class_Orderings_Obot' [148, 1] (w:1, o:137, a:1, s:1, b:0),
% 9.00/9.39 'c_Nitpick_Ofold__graph_H' [149, 6] (w:1, o:217, a:1, s:1, b:0),
% 9.00/9.39 'class_Lattices_Oupper__semilattice' [151, 1] (w:1, o:138, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'class_Lattices_Odistrib__lattice' [152, 1] (w:1, o:139, a:1, s:1, b:
% 9.00/9.39 0),
% 9.00/9.39 'c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1' [157, 4
% 9.00/9.39 ] (w:1, o:202, a:1, s:1, b:0),
% 9.00/9.39 'c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1' [158, 4
% 9.00/9.39 ] (w:1, o:201, a:1, s:1, b:0),
% 9.00/9.39 'c_Hoare__Mirabelle_Otriple_Otriple' [160, 1] (w:1, o:140, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'c_Hoare__Mirabelle_Otriple__valid' [161, 3] (w:1, o:192, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'c_Com_Ocom_OBODY' [162, 0] (w:1, o:81, a:1, s:1, b:0),
% 9.00/9.39 'tc_Com_Ocom' [164, 0] (w:1, o:83, a:1, s:1, b:0),
% 9.00/9.39 'c_Option_Othe' [165, 1] (w:1, o:141, a:1, s:1, b:0),
% 9.00/9.39 'c_Com_Obody' [166, 0] (w:1, o:71, a:1, s:1, b:0),
% 9.00/9.39 'c_COMBS' [167, 5] (w:1, o:215, a:1, s:1, b:0),
% 9.00/9.39 'class_Ring__and__Field_Oring' [168, 1] (w:1, o:142, a:1, s:1, b:0),
% 9.00/9.39
% 9.00/9.39 'v_P' [169, 0] (w:1, o:84, a:1, s:1, b:0),
% 9.00/9.39 'v_Q' [170, 0] (w:1, o:86, a:1, s:1, b:0),
% 9.00/9.39 't_b' [171, 0] (w:1, o:87, a:1, s:1, b:0),
% 9.00/9.39 't_c' [172, 0] (w:1, o:88, a:1, s:1, b:0),
% 9.00/9.39 'v_R' [173, 0] (w:1, o:89, a:1, s:1, b:0),
% 9.00/9.39 'class_HOL_Ominus' [177, 1] (w:1, o:129, a:1, s:1, b:0),
% 9.00/9.39 'tc_Hoare__Mirabelle_Otriple' [181, 1] (w:1, o:143, a:1, s:1, b:0),
% 9.00/9.39 'c_Hoare__Mirabelle_Ohoare__derivs' [182, 3] (w:1, o:193, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [184, 6] (w:1
% 9.00/9.39 , o:218, a:1, s:1, b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [185, 4] (w:1
% 9.00/9.39 , o:204, a:1, s:1, b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xconseq12__3' [188, 4] (w:1, o:207, a:1, s:
% 9.00/9.39 1, b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xconseq12__2' [189, 4] (w:1, o:206, a:1, s:
% 9.00/9.39 1, b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [190, 6] (w:
% 9.00/9.39 1, o:219, a:1, s:1, b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [191, 4] (w:
% 9.00/9.39 1, o:209, a:1, s:1, b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [192, 4] (w:
% 9.00/9.39 1, o:208, a:1, s:1, b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [193, 4] (w:1
% 9.00/9.39 , o:203, a:1, s:1, b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xconseq2__1' [194, 2] (w:1, o:183, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xconseq2__2' [195, 2] (w:1, o:184, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xconseq12__1' [196, 4] (w:1, o:205, a:1, s:
% 9.00/9.39 1, b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xconseq1__1' [197, 2] (w:1, o:181, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'v_sko__Hoare__Mirabelle__Xconseq1__2' [198, 2] (w:1, o:182, a:1, s:1
% 9.00/9.39 , b:0),
% 9.00/9.39 'tc_Com_Opname' [199, 0] (w:1, o:93, a:1, s:1, b:0),
% 9.00/9.39 'tc_Com_Ostate' [201, 0] (w:1, o:94, a:1, s:1, b:0),
% 9.00/9.39 'tc_Option_Ooption' [202, 1] (w:1, o:144, a:1, s:1, b:0),
% 9.00/9.39 'v_pn' [212, 0] (w:1, o:97, a:1, s:1, b:0),
% 9.00/9.39 'v_G' [213, 0] (w:1, o:98, a:1, s:1, b:0),
% 9.00/9.39 'v_Procs' [214, 0] (w:1, o:85, a:1, s:1, b:0),
% 9.00/9.39 'c_fequal' [217, 3] (w:1, o:194, a:1, s:1, b:0).
% 9.00/9.39
% 9.00/9.39
% 9.00/9.39 Starting Search:
% 9.00/9.39
% 9.00/9.39 Resimplifying inuse:
% 9.00/9.39 Done
% 9.00/9.39
% 9.00/9.39
% 9.00/9.39 Intermediate Status:
% 9.00/9.39 Generated: 5258
% 9.00/9.39 Kept: 2373
% 9.00/9.39 Inuse: 169
% 9.00/9.39 Deleted: 3
% 9.00/9.39 Deletedinuse: 0
% 9.00/9.39
% 9.00/9.39 Resimplifying inuse:
% 9.00/9.39 Done
% 9.00/9.39
% 9.00/9.39 Resimplifying inuse:
% 9.00/9.39 Done
% 9.00/9.39
% 9.00/9.39
% 9.00/9.39 Intermediate Status:
% 9.00/9.39 Generated: 13420
% 9.00/9.39 Kept: 5202
% 9.00/9.39 Inuse: 244
% 9.00/9.39 Deleted: 3
% 9.00/9.39 Deletedinuse: 0
% 9.00/9.39
% 9.00/9.39 Resimplifying inuse:
% 9.00/9.39 Done
% 9.00/9.39
% 9.00/9.39 Resimplifying inuse:
% 9.00/9.39 Done
% 9.00/9.39
% 9.00/9.39
% 9.00/9.39 Intermediate Status:
% 9.00/9.39 Generated: 18753
% 9.00/9.39 Kept: 7209
% 9.00/9.39 Inuse: 318
% 32.19/32.61 Deleted: 5
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 26358
% 32.19/32.61 Kept: 9533
% 32.19/32.61 Inuse: 396
% 32.19/32.61 Deleted: 5
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 32347
% 32.19/32.61 Kept: 12797
% 32.19/32.61 Inuse: 425
% 32.19/32.61 Deleted: 5
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 41313
% 32.19/32.61 Kept: 15277
% 32.19/32.61 Inuse: 476
% 32.19/32.61 Deleted: 5
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 50385
% 32.19/32.61 Kept: 18614
% 32.19/32.61 Inuse: 496
% 32.19/32.61 Deleted: 5
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying clauses:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 59364
% 32.19/32.61 Kept: 20942
% 32.19/32.61 Inuse: 506
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 66355
% 32.19/32.61 Kept: 23130
% 32.19/32.61 Inuse: 536
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 73444
% 32.19/32.61 Kept: 25404
% 32.19/32.61 Inuse: 571
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 85718
% 32.19/32.61 Kept: 27509
% 32.19/32.61 Inuse: 586
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 98971
% 32.19/32.61 Kept: 29720
% 32.19/32.61 Inuse: 601
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 104855
% 32.19/32.61 Kept: 31728
% 32.19/32.61 Inuse: 639
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 112382
% 32.19/32.61 Kept: 33759
% 32.19/32.61 Inuse: 675
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 120982
% 32.19/32.61 Kept: 35913
% 32.19/32.61 Inuse: 716
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 129457
% 32.19/32.61 Kept: 37922
% 32.19/32.61 Inuse: 760
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 137212
% 32.19/32.61 Kept: 39936
% 32.19/32.61 Inuse: 791
% 32.19/32.61 Deleted: 197
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying clauses:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 145746
% 32.19/32.61 Kept: 42217
% 32.19/32.61 Inuse: 831
% 32.19/32.61 Deleted: 500
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 156733
% 32.19/32.61 Kept: 45116
% 32.19/32.61 Inuse: 839
% 32.19/32.61 Deleted: 500
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 164512
% 32.19/32.61 Kept: 47419
% 32.19/32.61 Inuse: 856
% 32.19/32.61 Deleted: 500
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 178889
% 32.19/32.61 Kept: 49995
% 32.19/32.61 Inuse: 876
% 32.19/32.61 Deleted: 500
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 186080
% 32.19/32.61 Kept: 52002
% 32.19/32.61 Inuse: 904
% 32.19/32.61 Deleted: 500
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 211749
% 32.19/32.61 Kept: 55355
% 32.19/32.61 Inuse: 911
% 32.19/32.61 Deleted: 500
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 223565
% 32.19/32.61 Kept: 58341
% 32.19/32.61 Inuse: 921
% 32.19/32.61 Deleted: 500
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 230484
% 32.19/32.61 Kept: 60473
% 32.19/32.61 Inuse: 946
% 32.19/32.61 Deleted: 500
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying clauses:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 239158
% 32.19/32.61 Kept: 62730
% 32.19/32.61 Inuse: 976
% 32.19/32.61 Deleted: 840
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 248346
% 32.19/32.61 Kept: 64959
% 32.19/32.61 Inuse: 996
% 32.19/32.61 Deleted: 840
% 32.19/32.61 Deletedinuse: 0
% 32.19/32.61
% 32.19/32.61 Resimplifying inuse:
% 32.19/32.61 Done
% 32.19/32.61
% 32.19/32.61
% 32.19/32.61 Intermediate Status:
% 32.19/32.61 Generated: 260665
% 32.19/32.61 Kept: 68616
% 32.19/32.61 Inuse: 1011
% 80.78/81.21 Deleted: 840
% 80.78/81.21 Deletedinuse: 0
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 268821
% 80.78/81.21 Kept: 70792
% 80.78/81.21 Inuse: 1041
% 80.78/81.21 Deleted: 840
% 80.78/81.21 Deletedinuse: 0
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 275326
% 80.78/81.21 Kept: 72954
% 80.78/81.21 Inuse: 1061
% 80.78/81.21 Deleted: 840
% 80.78/81.21 Deletedinuse: 0
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 282842
% 80.78/81.21 Kept: 74972
% 80.78/81.21 Inuse: 1080
% 80.78/81.21 Deleted: 841
% 80.78/81.21 Deletedinuse: 1
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 289625
% 80.78/81.21 Kept: 77002
% 80.78/81.21 Inuse: 1098
% 80.78/81.21 Deleted: 841
% 80.78/81.21 Deletedinuse: 1
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 296737
% 80.78/81.21 Kept: 79130
% 80.78/81.21 Inuse: 1121
% 80.78/81.21 Deleted: 841
% 80.78/81.21 Deletedinuse: 1
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying clauses:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 304699
% 80.78/81.21 Kept: 81166
% 80.78/81.21 Inuse: 1149
% 80.78/81.21 Deleted: 1012
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 310210
% 80.78/81.21 Kept: 83225
% 80.78/81.21 Inuse: 1161
% 80.78/81.21 Deleted: 1012
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 318069
% 80.78/81.21 Kept: 85378
% 80.78/81.21 Inuse: 1186
% 80.78/81.21 Deleted: 1012
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 325809
% 80.78/81.21 Kept: 87497
% 80.78/81.21 Inuse: 1206
% 80.78/81.21 Deleted: 1012
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 334315
% 80.78/81.21 Kept: 89892
% 80.78/81.21 Inuse: 1221
% 80.78/81.21 Deleted: 1012
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 339518
% 80.78/81.21 Kept: 91916
% 80.78/81.21 Inuse: 1233
% 80.78/81.21 Deleted: 1012
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 346364
% 80.78/81.21 Kept: 94084
% 80.78/81.21 Inuse: 1251
% 80.78/81.21 Deleted: 1012
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 356605
% 80.78/81.21 Kept: 96561
% 80.78/81.21 Inuse: 1276
% 80.78/81.21 Deleted: 1012
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 364998
% 80.78/81.21 Kept: 98575
% 80.78/81.21 Inuse: 1299
% 80.78/81.21 Deleted: 1013
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 377457
% 80.78/81.21 Kept: 102017
% 80.78/81.21 Inuse: 1300
% 80.78/81.21 Deleted: 1013
% 80.78/81.21 Deletedinuse: 2
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying clauses:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 386189
% 80.78/81.21 Kept: 104110
% 80.78/81.21 Inuse: 1315
% 80.78/81.21 Deleted: 1127
% 80.78/81.21 Deletedinuse: 3
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 402896
% 80.78/81.21 Kept: 108265
% 80.78/81.21 Inuse: 1325
% 80.78/81.21 Deleted: 1130
% 80.78/81.21 Deletedinuse: 6
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 417912
% 80.78/81.21 Kept: 111940
% 80.78/81.21 Inuse: 1330
% 80.78/81.21 Deleted: 1130
% 80.78/81.21 Deletedinuse: 6
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 434017
% 80.78/81.21 Kept: 115893
% 80.78/81.21 Inuse: 1335
% 80.78/81.21 Deleted: 1130
% 80.78/81.21 Deletedinuse: 6
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 443244
% 80.78/81.21 Kept: 117924
% 80.78/81.21 Inuse: 1353
% 80.78/81.21 Deleted: 1130
% 80.78/81.21 Deletedinuse: 6
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 450880
% 80.78/81.21 Kept: 119947
% 80.78/81.21 Inuse: 1368
% 80.78/81.21 Deleted: 1130
% 80.78/81.21 Deletedinuse: 6
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 455895
% 80.78/81.21 Kept: 122004
% 80.78/81.21 Inuse: 1377
% 80.78/81.21 Deleted: 1130
% 80.78/81.21 Deletedinuse: 6
% 80.78/81.21
% 80.78/81.21 Resimplifying clauses:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 473342
% 80.78/81.21 Kept: 124376
% 80.78/81.21 Inuse: 1390
% 80.78/81.21 Deleted: 1498
% 80.78/81.21 Deletedinuse: 7
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21
% 80.78/81.21 Intermediate Status:
% 80.78/81.21 Generated: 479806
% 80.78/81.21 Kept: 126464
% 80.78/81.21 Inuse: 1404
% 80.78/81.21 Deleted: 1499
% 80.78/81.21 Deletedinuse: 7
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 80.78/81.21 Done
% 80.78/81.21
% 80.78/81.21 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 488752
% 165.98/166.46 Kept: 128827
% 165.98/166.46 Inuse: 1419
% 165.98/166.46 Deleted: 1500
% 165.98/166.46 Deletedinuse: 8
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 497244
% 165.98/166.46 Kept: 130892
% 165.98/166.46 Inuse: 1434
% 165.98/166.46 Deleted: 1501
% 165.98/166.46 Deletedinuse: 8
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 505397
% 165.98/166.46 Kept: 133313
% 165.98/166.46 Inuse: 1448
% 165.98/166.46 Deleted: 1501
% 165.98/166.46 Deletedinuse: 8
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 531367
% 165.98/166.46 Kept: 138978
% 165.98/166.46 Inuse: 1467
% 165.98/166.46 Deleted: 1502
% 165.98/166.46 Deletedinuse: 8
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 538524
% 165.98/166.46 Kept: 141249
% 165.98/166.46 Inuse: 1482
% 165.98/166.46 Deleted: 1502
% 165.98/166.46 Deletedinuse: 8
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying clauses:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 545379
% 165.98/166.46 Kept: 143606
% 165.98/166.46 Inuse: 1507
% 165.98/166.46 Deleted: 1684
% 165.98/166.46 Deletedinuse: 8
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 562433
% 165.98/166.46 Kept: 148135
% 165.98/166.46 Inuse: 1532
% 165.98/166.46 Deleted: 1686
% 165.98/166.46 Deletedinuse: 10
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 570992
% 165.98/166.46 Kept: 150259
% 165.98/166.46 Inuse: 1562
% 165.98/166.46 Deleted: 1687
% 165.98/166.46 Deletedinuse: 11
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 590968
% 165.98/166.46 Kept: 153372
% 165.98/166.46 Inuse: 1577
% 165.98/166.46 Deleted: 1687
% 165.98/166.46 Deletedinuse: 11
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 599393
% 165.98/166.46 Kept: 156001
% 165.98/166.46 Inuse: 1602
% 165.98/166.46 Deleted: 1687
% 165.98/166.46 Deletedinuse: 11
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 606655
% 165.98/166.46 Kept: 158016
% 165.98/166.46 Inuse: 1621
% 165.98/166.46 Deleted: 1687
% 165.98/166.46 Deletedinuse: 11
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 614105
% 165.98/166.46 Kept: 160024
% 165.98/166.46 Inuse: 1649
% 165.98/166.46 Deleted: 1687
% 165.98/166.46 Deletedinuse: 11
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 620211
% 165.98/166.46 Kept: 162268
% 165.98/166.46 Inuse: 1662
% 165.98/166.46 Deleted: 1687
% 165.98/166.46 Deletedinuse: 11
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying clauses:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 640266
% 165.98/166.46 Kept: 167822
% 165.98/166.46 Inuse: 1672
% 165.98/166.46 Deleted: 1940
% 165.98/166.46 Deletedinuse: 11
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 647082
% 165.98/166.46 Kept: 169913
% 165.98/166.46 Inuse: 1682
% 165.98/166.46 Deleted: 1941
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 653401
% 165.98/166.46 Kept: 172401
% 165.98/166.46 Inuse: 1697
% 165.98/166.46 Deleted: 1941
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 660098
% 165.98/166.46 Kept: 174406
% 165.98/166.46 Inuse: 1710
% 165.98/166.46 Deleted: 1941
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 666863
% 165.98/166.46 Kept: 176657
% 165.98/166.46 Inuse: 1717
% 165.98/166.46 Deleted: 1941
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 673089
% 165.98/166.46 Kept: 178896
% 165.98/166.46 Inuse: 1727
% 165.98/166.46 Deleted: 1941
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 684475
% 165.98/166.46 Kept: 182050
% 165.98/166.46 Inuse: 1737
% 165.98/166.46 Deleted: 1941
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying clauses:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 693833
% 165.98/166.46 Kept: 184539
% 165.98/166.46 Inuse: 1757
% 165.98/166.46 Deleted: 2027
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 706612
% 165.98/166.46 Kept: 187854
% 165.98/166.46 Inuse: 1767
% 165.98/166.46 Deleted: 2027
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 723506
% 165.98/166.46 Kept: 191961
% 165.98/166.46 Inuse: 1787
% 165.98/166.46 Deleted: 2027
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 732608
% 165.98/166.46 Kept: 194313
% 165.98/166.46 Inuse: 1807
% 165.98/166.46 Deleted: 2027
% 165.98/166.46 Deletedinuse: 12
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46 Resimplifying inuse:
% 165.98/166.46 Done
% 165.98/166.46
% 165.98/166.46
% 165.98/166.46 Intermediate Status:
% 165.98/166.46 Generated: 739185
% 300.07/300.61 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------