TSTP Solution File: SCT089-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT089-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:01:08 EDT 2022
% Result : Timeout 300.03s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SCT089-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.31 % Computer : n005.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % DateTime : Fri Jul 1 23:13:37 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.04/1.40 *** allocated 10000 integers for termspace/termends
% 1.04/1.40 *** allocated 10000 integers for clauses
% 1.04/1.40 *** allocated 10000 integers for justifications
% 1.04/1.40 *** allocated 15000 integers for termspace/termends
% 1.04/1.40 *** allocated 22500 integers for termspace/termends
% 1.04/1.40 Bliksem 1.12
% 1.04/1.40
% 1.04/1.40
% 1.04/1.40 Automatic Strategy Selection
% 1.04/1.40
% 1.04/1.40 Clauses:
% 1.04/1.40 [
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 'c_Suc'( Z ), X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.04/1.40 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 1.04/1.40 T ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.04/1.40 , 'tc_bool' ) ), Z, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.40 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), 'c_Suc'( X ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X ) ) )
% 1.04/1.40 ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.04/1.40 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.04/1.40 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.04/1.40 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.04/1.40 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.40 X ), Y ), Z ) ), Z ), Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.04/1.40 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.04/1.40 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.40 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ) ) ],
% 1.04/1.40 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.04/1.40 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) )
% 1.04/1.40 , 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.40 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.04/1.40 , V2, Z, Y ) ) ],
% 1.04/1.40 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.40 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.04/1.40 , Z, V2, Y ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.40 'c_Arrow__Order__Mirabelle_Omkbot', Z ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.40 'c_Arrow__Order__Mirabelle_Omkbot', Y ), X ) ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), Z ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X ) ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.04/1.40 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.40 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'(
% 1.04/1.40 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y,
% 1.04/1.40 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.40 'tc_bool' ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.40 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.40 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.40 , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.40 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.04/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.04/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.04/1.40 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.40 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), =( X, Y ), =( Y, T ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.40 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , Z ) ) ), =( X, T ), =( Y, T ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.04/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.04/1.40 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.04/1.40 ~( hBOOL( hAPP( hAPP( T, Y ), Z ) ) ), ~( 'c_Orderings_Opreorder'( T, X,
% 1.04/1.40 U ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Opreorder'( Z,
% 1.04/1.40 X, T ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.04/1.40 ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.40 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.04/1.40 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Z ), X ) ) ) ],
% 1.04/1.40 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.04/1.40 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ), =( X, Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.40 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 1.04/1.40 X, T ) ) ],
% 1.04/1.40 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 1.04/1.40 , T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.04/1.40 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 1.04/1.40 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.40 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 Y ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( X ) ) ) ],
% 1.04/1.40 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.40 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.04/1.40 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.04/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.40 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.04/1.40 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X
% 1.04/1.40 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.40 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.40 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.40 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.40 'c_Arrow__Order__Mirabelle_Omktop', Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( =( hAPP( X, 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X
% 1.04/1.40 , Y ) ), hAPP( 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y
% 1.04/1.40 ), Y ) ) ), 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 Z, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.40 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.40 X ) ) ), =( Y, Z ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.04/1.40 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.04/1.40 'c_Lattices_Odistrib__lattice'( W, V0, X, Z, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.04/1.40 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.04/1.40 'c_Lattices_Odistrib__lattice'( W, V0, X, Y, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.04/1.40 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.04/1.40 'c_Lattices_Odistrib__lattice'( W, V0, Z, X, V1 ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.04/1.40 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.04/1.40 'c_Lattices_Odistrib__lattice'( W, V0, Y, X, V1 ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.04/1.40 X, Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 X, Z ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.40 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.40 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.04/1.40 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.40 [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 1.04/1.40 Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.40 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 1.04/1.40 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ), ~(
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( Y ) ), X ) ) ) ]
% 1.04/1.40 ,
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.04/1.40 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.04/1.40 ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.40 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.04/1.40 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 1.04/1.40 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 1.04/1.40 ) ) ) ],
% 1.04/1.40 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.40 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.04/1.40 Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ),
% 1.04/1.40 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.40 ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.40 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.40 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.40 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.40 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.40 'tc_nat' ), X ), Z ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.40 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.40 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.40 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.04/1.40 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.40 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.04/1.40 'tc_bool' ) ) ) ],
% 1.04/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.40 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.40 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.40 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.40 'c_HOL_Oord__class_Oless'( 'tc_nat' ), T ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z
% 1.04/1.41 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.41 , Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z
% 1.04/1.41 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.41 , T ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.04/1.41 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ),
% 1.04/1.41 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), T ), Z ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.41 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.41 ), Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X
% 1.04/1.41 ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.41 X ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.41 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.04/1.41 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.04/1.41 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.41 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.41 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.41 'tc_bool' ) ), X ) ],
% 1.04/1.41 [ 'c_Arrow__Order__Mirabelle_OIIA'( 'v_F' ) ],
% 1.04/1.41 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.41 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.04/1.41 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.04/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.04/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.41 , Y ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.41 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Z,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Y,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.04/1.41 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.04/1.41 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.04/1.41 X ), Y ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.04/1.41 X ), Y ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__measure__1__1'( X, Z, T ) )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.41 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.04/1.41 ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, T, X ) ),
% 1.04/1.41 'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 1.04/1.41 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_Omkbot', Z ), X ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.41 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.41 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.04/1.41 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.41 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.41 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.04/1.41 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.41 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.04/1.41 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.04/1.41 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ), ~(
% 1.04/1.41 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.04/1.41 'tc_bool' ) ), X ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.41 ), 'c_Suc'( Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.04/1.41 , X ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.41 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.41 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), X ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 1.04/1.41 ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.41 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.41 ) ), Y ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.41 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.41 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'(
% 1.04/1.41 'c_lessequals'( X ), 'c_HOL_Oord__class_Oless'( X ), X ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 1.04/1.41 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.41 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.04/1.41 'tc_bool' ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.41 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.41 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.41 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.41 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.41 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.41 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.41 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.41 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 'c_Suc'(
% 1.04/1.41 Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ) ],
% 1.04/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.41 Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.41 'tc_nat' ) ) ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.04/1.41 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.04/1.41 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( 'v_F' ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.04/1.41 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.04/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y, Z ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.04/1.41 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.41 ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y,
% 1.04/1.41 Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.04/1.41 ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.41 ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.04/1.41 T, Z, X ) ) ), =( Y, T ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.41 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.04/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xnat__less__induct__1__1'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'(
% 1.04/1.41 X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 1.04/1.41 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.04/1.41 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 1.04/1.41 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 1.04/1.41 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.04/1.41 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 1.04/1.41 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.41 Y, X ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.04/1.41 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.04/1.41 [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X
% 1.04/1.41 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.41 Y ) ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.41 , U, X, W, Y, V0, V1 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.41 , U, X, W, V0, Y, V1 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.41 , U, W, X, Y, V0, V1 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.41 , U, W, X, V0, Y, V1 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.41 , U, X, W, Z, V0, V1 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.41 , U, X, W, V0, Z, V1 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.41 , U, W, X, Z, V0, V1 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 1.04/1.41 , U, W, X, V0, Z, V1 ) ) ],
% 1.04/1.41 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 1.04/1.41 V0 ), V1 ) ), =( W, hAPP( hAPP( Z, W ), V0 ) ) ],
% 1.04/1.41 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 1.04/1.41 V0 ), V1 ) ), =( V0, hAPP( hAPP( Z, W ), V0 ) ) ],
% 1.04/1.41 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 1.04/1.41 , V0, V1 ) ), =( U, hAPP( hAPP( T, U ), W ) ) ],
% 1.04/1.41 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 1.04/1.41 , V0, V1 ) ), =( W, hAPP( hAPP( T, U ), W ) ) ],
% 1.04/1.41 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.04/1.41 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 1.04/1.41 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 1.04/1.41 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.04/1.41 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.41 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) )
% 1.04/1.41 ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X
% 1.04/1.41 ) ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.04/1.41 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.04/1.41 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), X, X, Y ), Z ), T, Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.41 , 'c_Finite__Set_Osetsum'( Z, T, Y, X ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.41 Y ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.41 Y ) ],
% 1.04/1.41 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.41 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 Y ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.41 Y ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 Y ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 Y ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.41 Y ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.41 X ), Y ), Z ) ), Z ), Y ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ),
% 1.04/1.41 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ),
% 1.04/1.41 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ =( 'c_Fun_Ooverride__on'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 1.04/1.41 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), X ) ],
% 1.04/1.41 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.41 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 1.04/1.41 Y ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), Y ) ), Y ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), Y ) ), Y ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), Y ) ), Y ) ],
% 1.04/1.41 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 1.04/1.41 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.04/1.41 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 1.04/1.41 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ), X ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.41 X ), Y ), Y ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.41 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( X ), Y ), T ) ) ), ~( =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 1.04/1.41 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 1.04/1.41 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.04/1.41 X, 'tc_bool' ) ), Y ) ],
% 1.04/1.41 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.04/1.41 'tc_bool' ) ), X ) ],
% 1.04/1.41 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 1.04/1.41 ],
% 1.04/1.41 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), X ), Y ) ],
% 1.04/1.41 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.04/1.41 ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.41 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.41 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.04/1.41 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__1__1'( X, Z, T ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.41 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.04/1.41 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.41 Z ) ) ), =( Y, Z ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omktop', Z ), T ) ) ) ) ],
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X )
% 1.04/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.04/1.41 Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.04/1.41 , Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ =( 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.04/1.41 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ), X ) ) ) ],
% 1.04/1.41 [ =( X, 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X
% 1.04/1.41 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ), X ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.41 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.41 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'c_Orderings_Opreorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 1.04/1.41 ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 1.04/1.41 ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 1.04/1.41 ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 1.04/1.41 , X, W ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Opreorder'( X, Z, T
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 1.04/1.41 ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( X
% 1.04/1.41 , U, W ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 1.04/1.41 ), ~( hBOOL( hAPP( hAPP( U, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 1.04/1.41 , X, W ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), Z ) )
% 1.04/1.41 ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ), ~( 'c_Orderings_Opreorder'( T
% 1.04/1.41 , X, W ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.04/1.41 ) ) ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 1.04/1.41 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 1.04/1.41 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), 'c_Suc'( Y ) ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.41 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.41 ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.04/1.41 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 1.04/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 1.04/1.41 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 1.04/1.41 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.04/1.41 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.04/1.41 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 1.04/1.41 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.04/1.41 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 1.04/1.41 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 1.04/1.41 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 1.04/1.41 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 1.04/1.41 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), X ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), X ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.04/1.41 'c_Lattices_Olattice'( T, U, X, W, V0 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.04/1.41 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Lattices_Olattice'( U, W, X, V0, V1 )
% 1.04/1.41 ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.04/1.41 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Lattices_Olattice'( U, W, X, V0, V1 )
% 1.04/1.41 ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 1.04/1.41 Z ) ), ~( 'c_Lattices_Olattice'( T, U, X, W, V0 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.04/1.41 'c_Lattices_Olattice'( T, U, W, X, V0 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.04/1.41 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Lattices_Olattice'( U, W, V0, X, V1 )
% 1.04/1.41 ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.04/1.41 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Lattices_Olattice'( U, W, V0, X, V1 )
% 1.04/1.41 ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 1.04/1.41 Z ) ), ~( 'c_Lattices_Olattice'( T, U, W, X, V0 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), Y ), ~(
% 1.04/1.41 'c_Lattices_Olattice'( U, W, X, Z, V0 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), Y ), ~(
% 1.04/1.41 'c_Lattices_Olattice'( U, W, Z, X, V0 ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.41 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.41 ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.04/1.41 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ),
% 1.04/1.41 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.41 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.04/1.41 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.41 'c_Suc'( T ), X ) ), 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X )
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.04/1.41 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.04/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.04/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.04/1.41 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.41 ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X )
% 1.04/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.04/1.41 Y, X ) ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_Omktop', Z ), X ) ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_Omktop', Y ), X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.04/1.41 Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), =( Z, T ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 Y ) ) ) ],
% 1.04/1.41 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.04/1.41 ) ],
% 1.04/1.41 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.41 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.41 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.41 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.04/1.41 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), Z ) ),
% 1.04/1.41 T, Y, X, 'tc_fun'( X, X ) ), U, Y, X, X ), W, Y, X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( T,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( W, Z, 'tc_fun'( Y,
% 1.04/1.41 'tc_bool' ) ), Y, X ) ), 'c_Finite__Set_Osetsum'( U,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( W, hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.04/1.41 Y, 'tc_bool' ) ), Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( W, Y ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.04/1.41 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.04/1.41 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.41 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( Y, W ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 1.04/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.04/1.41 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( X, W ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 1.04/1.41 'tc_bool' ) ), Z ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 1.04/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 1.04/1.41 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 1.04/1.41 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.04/1.41 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 1.04/1.41 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.04/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.04/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 1.04/1.41 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 1.04/1.41 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.04/1.41 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.41 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.04/1.41 ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.41 ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.41 , Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), Y ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), Y ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.41 , Z ) ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.04/1.41 , Z ) ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 1.04/1.41 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.41 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.04/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z )
% 1.04/1.41 , T ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 1.04/1.41 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.41 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_Orderings_Olinorder'(
% 1.04/1.41 'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( 'c_COMBC'(
% 1.04/1.41 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'(
% 1.04/1.41 'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), Y ), Z ), T, Y, X
% 1.04/1.41 , X ), U, Y, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.04/1.41 'c_Finite__Set_Osetsum'( Z, U, Y, X ) ), 'c_Finite__Set_Osetsum'( T, U, Y
% 1.04/1.41 , X ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), X, 'tc_fun'( X, X ), Y ), Z ), T, Y, X,
% 1.04/1.41 X ), U, Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.41 'c_Finite__Set_Osetsum'( Z, U, Y, X ) ), 'c_Finite__Set_Osetsum'( T, U, Y
% 1.04/1.41 , X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.04/1.41 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.41 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X )
% 1.04/1.41 , Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.41 ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), =( X,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.41 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z
% 1.04/1.41 ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.04/1.41 , X ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.41 X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.41 X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.04/1.41 , X ), 'c_Suc'( Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.41 'tc_nat' ), X ), Y ) ) ],
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.04/1.41 , Y ), 'c_Suc'( X ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.41 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.41 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.04/1.41 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.04/1.41 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.04/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.04/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.04/1.41 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.04/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Y ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Z ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 1.04/1.41 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 1.04/1.41 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 1.04/1.41 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.41 X ) ), Z ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.41 X ) ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.41 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.41 ), Y ) ), Z ) ), Z ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), X )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.04/1.41 ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.04/1.41 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( 'tc_nat' ), Z ), X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.04/1.41 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.41 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.41 'tc_bool' ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.41 ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.04/1.41 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.41 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.04/1.41 , Z, V2, Y ) ) ],
% 1.04/1.41 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.41 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.04/1.41 , V2, Z, Y ) ) ],
% 1.04/1.41 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.04/1.41 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.04/1.41 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.41 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.04/1.41 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.04/1.41 'tc_bool' ) ), X ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.04/1.41 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.41 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.41 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.41 X ), Y ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.04/1.41 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 1.04/1.41 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.04/1.41 ) ), =( X, T ) ],
% 1.04/1.41 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.04/1.41 ) ), =( Y, U ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__rule__1__1'( X, Z, T ) ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 1.04/1.41 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.04/1.41 , X ), 'c_Suc'( Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat'
% 1.04/1.41 ), Y ), X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.04/1.41 X, T, U ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.04/1.41 hAPP( X, U ) ) ) ) ],
% 1.04/1.41 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.04/1.41 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 1.04/1.41 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 1.04/1.41 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 1.04/1.41 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 1.04/1.41 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 1.04/1.41 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~(
% 1.04/1.41 'c_Lattices_Olattice'( X, U, Y, W, V0 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~(
% 1.04/1.41 'c_Lattices_Olattice'( X, U, Y, W, V0 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~(
% 1.04/1.41 'c_Lattices_Olattice'( X, U, W, Z, V0 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~(
% 1.04/1.41 'c_Lattices_Olattice'( X, U, W, Z, V0 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), hAPP(
% 1.04/1.41 hAPP( Z, T ), W ) ) ), hAPP( hAPP( Z, T ), hAPP( hAPP( Y, U ), W ) ) ) )
% 1.04/1.41 , ~( 'c_Lattices_Olattice'( X, V0, Z, Y, V1 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), hAPP( hAPP( T, U ), W ) ) )
% 1.04/1.41 , hAPP( hAPP( T, hAPP( hAPP( Y, Z ), U ) ), hAPP( hAPP( Y, Z ), W ) ) ) )
% 1.04/1.41 , ~( 'c_Lattices_Olattice'( X, V0, T, Y, V1 ) ) ],
% 1.04/1.41 [ =( 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.04/1.41 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.04/1.41 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), X ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 'tc_nat' ) ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.04/1.41 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( X, T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.41 ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.41 ), U ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.41 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.41 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), Y ) ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ), X ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ) ],
% 1.04/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.41 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.41 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.41 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.04/1.41 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.04/1.41 'tc_bool' ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.41 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.41 X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( Y ) ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'(
% 1.04/1.41 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_Omktop', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_Omktop', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , Z ) ) ), =( X, Y ), =( X, T ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__1__1'( X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.41 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.04/1.41 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.41 Z ), Y ) ) ],
% 1.04/1.41 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.04/1.41 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.04/1.41 ), 'c_Suc'( Y ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), T ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.41 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP( X,
% 1.04/1.41 'c_List_Osko__List__Xall__nat__less__eq__1__2'( X, Z ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ),
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xnat__less__induct__1__1'( X ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Z ) ), hAPP( T,
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__1__1'( X, T, U ) ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ),
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__1__1'( X ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.41 ), Y ) ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Z ) ), hAPP( T,
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__measure__1__1'( X, T, U ) )
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y )
% 1.04/1.41 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ),
% 1.04/1.41 'c_Suc'( X ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.41 Y ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, 'c_List_Osko__List__Xex__nat__less__eq__1__1'( X, Y )
% 1.04/1.41 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Z ) ), hAPP( T,
% 1.04/1.41 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__rule__1__1'( X, T, U ) ) ) )
% 1.04/1.41 ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.41 ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.41 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.41 ), 'c_Suc'( Y ) ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.04/1.41 ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.41 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.41 [ 'c_Orderings_Opreorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 1.04/1.41 , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Opreorder'( X, Z, Y ) ) ],
% 1.04/1.41 [ 'c_Lattices_Olattice'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z,
% 1.04/1.41 Y, Y, 'tc_bool' ), T, U, Y ), ~( 'c_Lattices_Olattice'( X, Z, U, T, Y ) )
% 1.04/1.41 ],
% 1.04/1.41 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.04/1.41 'tc_bool' ), Y ), X ), Y ) ],
% 1.04/1.41 [ 'c_Orderings_Olinorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 1.04/1.41 , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Olinorder'( X, Z, Y ) ) ],
% 1.04/1.41 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 1.04/1.41 X ), Y ) ],
% 1.04/1.41 [ 'c_Lattices_Odistrib__lattice'( 'c_COMBC'( X, Y, Y, 'tc_bool' ),
% 1.04/1.41 'c_COMBC'( Z, Y, Y, 'tc_bool' ), T, U, Y ), ~(
% 1.04/1.41 'c_Lattices_Odistrib__lattice'( X, Z, U, T, Y ) ) ],
% 1.04/1.41 [ 'c_Lattices_Obounded__lattice'( 'c_COMBC'( X, Y, Y, 'tc_bool' ),
% 1.04/1.41 'c_COMBC'( Z, Y, Y, 'tc_bool' ), T, U, W, V0, Y ), ~(
% 1.04/1.41 'c_Lattices_Obounded__lattice'( X, Z, U, T, V0, W, Y ) ) ],
% 1.04/1.41 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 1.04/1.41 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 1.04/1.41 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 1.04/1.41 ) ],
% 1.04/1.41 [ 'c_Orderings_Oorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z, Y
% 1.04/1.41 , Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Oorder'( X, Z, Y ) ) ],
% 1.04/1.41 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, 't_a', T ), 'v_a' ), hAPP(
% 1.04/1.41 hAPP( hAPP( 'c_HOL_OIf'( T ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_a' ), Z ) )
% 1.04/1.41 , hAPP( Y, 'v_a' ) ), hAPP( X, 'v_a' ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1'( X
% 1.04/1.41 , Y, Z, T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), =( hAPP( W
% 1.04/1.41 , Y ), hAPP( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_FunDef_OTHE__default'( U ), U
% 1.04/1.41 , 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ), V0 ), X, T, 'tc_fun'( U,
% 1.04/1.41 'tc_bool' ), U ), Y ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( W, Y ) ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1'( X,
% 1.04/1.41 Y, Z, T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( X, Y ), hAPP( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_FunDef_OTHE__default'(
% 1.04/1.41 U ), U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ), W ), X, T, 'tc_fun'(
% 1.04/1.41 U, 'tc_bool' ), U ), Y ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z,
% 1.04/1.41 T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 X, Y ), hAPP( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_FunDef_OTHE__default'( U ),
% 1.04/1.41 U, 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ), W ), X, T, 'tc_fun'( U,
% 1.04/1.41 'tc_bool' ), U ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_FunDef_OTHE__default'( Z ), Z, 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), Z )
% 1.04/1.41 , T ), U ), X, T, 'tc_fun'( Z, 'tc_bool' ), Z ), Y ) ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( X, Y ), 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1'(
% 1.04/1.41 X, Y, W, T, Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), W ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ),
% 1.04/1.41 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z, T, U ) )
% 1.04/1.41 ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP( X, Y ),
% 1.04/1.41 hAPP( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_FunDef_OTHE__default'( U ), U,
% 1.04/1.41 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), U ), T ), W ), X, T, 'tc_fun'( U,
% 1.04/1.41 'tc_bool' ), U ), Y ) ) ) ],
% 1.04/1.41 [ =( hAPP( X, Y ), hAPP( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_FunDef_OTHE__default'( Z ), Z, 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), Z )
% 1.04/1.41 , T ), U ), W, T, 'tc_fun'( Z, 'tc_bool' ), Z ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( W, Y ), hAPP( X, Y ) ) ) ), hBOOL( hAPP( hAPP( W, Y ),
% 1.04/1.41 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1'( W, Y, V0, T
% 1.04/1.41 , Z ) ) ), ~( hBOOL( hAPP( hAPP( W, Y ), V0 ) ) ) ],
% 1.04/1.41 [ ~( =( 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'( X, Y, Z,
% 1.04/1.41 T, U ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), =( hAPP( 'c_COMBS'(
% 1.04/1.41 hAPP( 'c_COMBB'( 'c_FunDef_OTHE__default'( U ), U, 'tc_fun'( 'tc_fun'( U
% 1.04/1.41 , 'tc_bool' ), U ), T ), W ), X, T, 'tc_fun'( U, 'tc_bool' ), U ), Y ),
% 1.04/1.41 V0 ), ~( hBOOL( hAPP( hAPP( X, Y ), V0 ) ) ) ],
% 1.04/1.41 [ =( hAPP( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_FunDef_OTHE__default'( X ), X
% 1.04/1.41 , 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), X ), Y ), Z ), T, Y, 'tc_fun'( X,
% 1.04/1.41 'tc_bool' ), X ), U ), hAPP( Z, U ) ), hBOOL( hAPP( W, U ) ), ~( hBOOL(
% 1.04/1.41 hAPP( W, 'c_ATP__Linkup_Osko__FunDef__Xfundef__default__value__1__1'( W,
% 1.04/1.41 T, Y, X ) ) ) ) ],
% 1.04/1.41 [ =( hAPP( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_FunDef_OTHE__default'( X ), X
% 1.04/1.41 , 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), X ), Y ), Z ), T, Y, 'tc_fun'( X,
% 1.04/1.41 'tc_bool' ), X ), U ), W ), ~( hBOOL( hAPP( hAPP( T, U ), W ) ) ), hBOOL(
% 1.04/1.41 hAPP( hAPP( T, U ), 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1'(
% 1.04/1.41 T, U, V0, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( T, U ), V0 ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.41 Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ), 'c_Finite__Set_Osetsum'( hAPP(
% 1.04/1.41 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_OIf'( X ), 'tc_bool',
% 1.04/1.41 'tc_fun'( X, 'tc_fun'( X, X ) ), U ), hAPP( 'c_COMBC'( 'c_in'( U ), U,
% 1.04/1.41 'tc_fun'( U, 'tc_bool' ), 'tc_bool' ), T ) ), Y, U, X, 'tc_fun'( X, X ) )
% 1.04/1.41 , U, X, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z, U, X ) ), ~(
% 1.04/1.41 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP(
% 1.04/1.41 'c_COMBC'( hAPP( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'tc_bool', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ), hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'tc_nat', 'tc_fun'( 'tc_nat',
% 1.04/1.41 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_h____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.04/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.04/1.41 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X
% 1.04/1.41 ) ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.04/1.41 [ 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X,
% 1.04/1.41 Y ) ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.04/1.41 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.04/1.41 , 'c_Pair'( 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( 'v_F', hAPP( 'c_COMBC'( hAPP(
% 1.04/1.41 'c_COMBC'( hAPP( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'tc_bool', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ), hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'tc_nat', 'tc_fun'( 'tc_nat',
% 1.04/1.41 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_h____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ),
% 1.04/1.41 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'v_n____' ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_n____' )
% 1.04/1.41 , 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ],
% 1.04/1.41 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.04/1.41 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.04/1.41 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.04/1.41 'c_List_Ofoldl'( hAPP( 'c_COMBB'( 'c_COMBB'( Y, T, Z, V1 ), 'tc_fun'( V1
% 1.04/1.41 , T ), 'tc_fun'( V1, Z ), Z ), hAPP( 'c_COMBB'( U, T, 'tc_fun'( V1, T ),
% 1.04/1.41 Z ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.04/1.41 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_c____',
% 1.04/1.41 'c_List_Olist_OCons'( 'v_d____', 'c_List_Olist_OCons'( 'v_e____',
% 1.04/1.41 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 1.04/1.41 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y, X, 'tc_fun'(
% 1.04/1.41 X, X ) ), Y, X, X ), U ), W, Y, X ), 'c_Power_Opower__class_Opower'( U,
% 1.04/1.41 'c_Finite__Set_Ocard'( W, Y ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z )
% 1.04/1.41 , W ) ), ~( 'c_Finite__Set_Ofinite'( W, Y ) ) ],
% 1.04/1.41 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), Z ) ),
% 1.04/1.41 Y, X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), hAPP(
% 1.04/1.41 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 X ), T ), W ) ) ],
% 1.04/1.41 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), Z ) ),
% 1.04/1.41 Y, X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ),
% 1.04/1.41 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.04/1.41 , T ), W ) ) ) ],
% 1.04/1.41 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), Z ) ),
% 1.04/1.41 Y, X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ),
% 1.04/1.41 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_in'( X ), U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) )
% 1.04/1.41 ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_fequal'( Y ), Z ) ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X ),
% 1.04/1.41 'c_HOL_Oone__class_Oone'( X ) ), U, Y, X ), hAPP( T, Z ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_fequal'( Y ), Z ) ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), U, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.41 X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ), ~(
% 1.04/1.41 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_fequal'( Y ), Z ) ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), U, Y, X ), hAPP( T, Z ) ), ~( hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y )
% 1.04/1.41 ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_fequal'( Y ), Z ) ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X ),
% 1.04/1.41 'c_HOL_Oone__class_Oone'( X ) ), U, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.41 ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ), ~(
% 1.04/1.41 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.41 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.04/1.41 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 X ), Y ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 X ), Z ), 'c_SetInterval_Oord__class_OgreaterThan'( Y, X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.04/1.41 'c_SetInterval_Oord__class_OgreaterThan'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~(
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.04/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y, X, 'tc_fun'(
% 1.04/1.41 X, X ) ), Y, X, X ), 'c_HOL_Oone__class_Oone'( X ) ), U, Y, X ),
% 1.04/1.41 'c_HOL_Oone__class_Oone'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U )
% 1.04/1.41 ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y, X, 'tc_fun'(
% 1.04/1.41 X, X ) ), Y, X, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U, Y, X ), hAPP(
% 1.04/1.41 T, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~(
% 1.04/1.41 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y, X, 'tc_fun'(
% 1.04/1.41 X, X ) ), Y, X, X ), 'c_HOL_Oone__class_Oone'( X ) ), U, Y, X ), hAPP( T
% 1.04/1.41 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~(
% 1.04/1.41 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.41 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBC'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z ) ), T, Y, X, 'tc_fun'(
% 1.04/1.41 X, X ) ), Y, X, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U, Y, X ),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U
% 1.04/1.41 ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.04/1.41 [ =( hAPP( X, Y ), hAPP( Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.04/1.41 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), Y ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_Odictator'( X, Z ) ) ],
% 1.04/1.41 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( X ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), hAPP(
% 1.04/1.41 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), Z ) ),
% 1.04/1.41 Y, X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), Z ), hBOOL(
% 1.04/1.41 hAPP( hAPP( 'c_in'( X ), U ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T
% 1.04/1.41 ), W ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'tc_bool', 'tc_fun'(
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.04/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), hAPP( 'c_COMBC'(
% 1.04/1.41 hAPP( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'tc_nat',
% 1.04/1.41 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.04/1.41 'v_h____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X
% 1.04/1.41 ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.04/1.41 Y, X ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.04/1.41 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.04/1.41 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.04/1.41 Y, X ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.04/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.04/1.41 ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.04/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.41 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.04/1.41 ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.04/1.41 U ) ) ],
% 1.04/1.41 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.04/1.41 , W ) ) ) ],
% 1.04/1.41 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_c____',
% 1.04/1.41 'c_List_Olist_OCons'( 'v_d____', 'c_List_Olist_OCons'( 'v_e____',
% 1.04/1.41 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 1.04/1.41 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.04/1.41 ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'v_P____' ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_OIf'(
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'tc_bool', 'tc_fun'(
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.04/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), hAPP( 'c_COMBC'(
% 1.04/1.41 hAPP( 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'tc_nat',
% 1.04/1.41 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.04/1.41 'v_h____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ),
% 1.04/1.41 'v_n____' ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_Omktop', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.04/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_P____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_e____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBS'(
% 1.04/1.41 'c_COMBS'( hAPP( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'tc_bool', 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ), hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_fequal'( 'tc_nat' ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_h____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), 'v_n____' ) )
% 1.04/1.41 , hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_Oabove', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_P____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), 'v_c____' ), 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ), 'v_e____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'(
% 1.04/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.04/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBB'(
% 1.04/1.41 'c_Arrow__Order__Mirabelle_Omkbot', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.04/1.41 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_P____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_e____' ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.04/1.41 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.04/1.41 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ),
% 1.04/1.41 'c_Arrow__Order__Mirabelle_OProf' ) ) ) ],
% 1.04/1.41 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.04/1.41 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.04/1.41 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.04/1.41 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Lattices_Olattice'( Y ) ) ],
% 1.04/1.41 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.04/1.41 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.04/1.41 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.04/1.41 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.04/1.41 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Orderings_Opreorder'( Y ) ) ],
% 1.04/1.41 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Lattices_Olattice'( Y ) ) ],
% 1.04/1.41 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.41 'class_Orderings_Oorder'( Y ) ) ],
% 1.04/1.41 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.04/1.41 Y ) ) ],
% 1.04/1.41 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.04/1.41 Y ) ) ],
% 1.04/1.41 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.04/1.41 ,
% 1.04/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.04/1.41 ],
% 1.04/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.04/1.41 ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.04/1.41 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.04/1.41 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.04/1.41 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.04/1.41 , W ) ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.04/1.41 U ) ) ],
% 1.04/1.41 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 1.04/1.41 ) ) ) ],
% 1.04/1.41 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.04/1.41 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.04/1.41 ] .
% 1.04/1.41
% 1.04/1.41
% 1.04/1.41 percentage equality = 0.251490, percentage horn = 0.895480
% 1.04/1.41 This is a problem with some equality
% 1.04/1.41
% 1.04/1.41
% 1.04/1.41
% 1.04/1.41 Options Used:
% 1.04/1.41
% 1.04/1.41 useres = 1
% 1.04/1.41 useparamod = 1
% 1.04/1.41 useeqrefl = 1
% 1.04/1.41 useeqfact = 1
% 1.04/1.41 usefactor = 1
% 1.04/1.41 usesimpsplitting = 0
% 1.04/1.41 usesimpdemod = 5
% 1.04/1.41 usesimpres = 3
% 1.04/1.41
% 1.04/1.41 resimpinuse = 1000
% 1.04/1.41 resimpclauses = 20000
% 1.04/1.41 substype = eqrewr
% 1.04/1.41 backwardsubs = 1
% 1.04/1.41 selectoldest = 5
% 1.04/1.41
% 1.04/1.41 litorderings [0] = split
% 1.04/1.41 litorderings [1] = extend the termordering, first sorting on arguments
% 1.04/1.41
% 1.04/1.41 termordering = kbo
% 1.04/1.41
% 1.04/1.41 litapriori = 0
% 1.04/1.41 termapriori = 1
% 1.04/1.41 litaposteriori = 0
% 1.04/1.41 termaposteriori = 0
% 1.04/1.41 demodaposteriori = 0
% 1.04/1.41 ordereqreflfact = 0
% 1.04/1.41
% 1.04/1.41 litselect = negord
% 1.04/1.41
% 1.04/1.41 maxweight = 15
% 1.04/1.41 maxdepth = 30000
% 1.04/1.41 maxlength = 115
% 1.04/1.41 maxnrvars = 195
% 1.04/1.41 excuselevel = 1
% 1.04/1.41 increasemaxweight = 1
% 1.04/1.41
% 1.04/1.41 maxselected = 10000000
% 1.04/1.41 maxnrclauses = 10000000
% 1.04/1.41
% 1.04/1.41 showgenerated = 0
% 1.04/1.41 showkept = 0
% 1.04/1.41 showselected = 0
% 1.04/1.41 showdeleted = 0
% 1.04/1.41 showresimp = 1
% 1.04/1.41 showstatus = 2000
% 1.04/1.41
% 1.04/1.41 prologoutput = 1
% 1.04/1.41 nrgoals = 5000000
% 1.04/1.41 totalproof = 1
% 1.04/1.41
% 1.04/1.41 Symbols occurring in the translation:
% 1.04/1.41
% 1.04/1.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.04/1.41 . [1, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.04/1.41 ! [4, 1] (w:0, o:90, a:1, s:1, b:0),
% 1.04/1.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.41 'class_OrderedGroup_Oab__group__add' [40, 1] (w:1, o:96, a:1, s:1, b:
% 1.04/1.41 0),
% 1.04/1.41 'c_HOL_Oplus__class_Oplus' [41, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.04/1.41 hAPP [43, 2] (w:1, o:186, a:1, s:1, b:0),
% 1.04/1.41 'class_Ring__and__Field_Ocomm__semiring__1' [46, 1] (w:1, o:100, a:1
% 1.04/1.41 , s:1, b:0),
% 1.04/1.41 'c_Hilbert__Choice_OEps' [48, 2] (w:1, o:187, a:1, s:1, b:0),
% 1.04/1.41 hBOOL [49, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.04/1.41 'class_Ring__and__Field_Oordered__semidom' [50, 1] (w:1, o:104, a:1
% 1.04/1.41 , s:1, b:0),
% 1.04/1.41 'c_HOL_Oord__class_Oless' [51, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.04/1.41 'c_Suc' [54, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.04/1.41 'c_Power_Opower__class_Opower' [55, 3] (w:1, o:204, a:1, s:1, b:0),
% 1.04/1.41 'c_HOL_Oone__class_Oone' [56, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.04/1.41 'c_HOL_Ozero__class_Ozero' [57, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.04/1.41 'class_OrderedGroup_Opordered__comm__monoid__add' [58, 1] (w:1, o:108
% 1.04/1.41 , a:1, s:1, b:0),
% 1.04/1.41 'c_lessequals' [59, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.04/1.41 'c_Orderings_Oorder' [63, 3] (w:1, o:201, a:1, s:1, b:0),
% 1.04/1.41 'class_OrderedGroup_Ocomm__monoid__mult' [64, 1] (w:1, o:110, a:1, s:
% 1.04/1.41 1, b:0),
% 1.04/1.42 'tc_bool' [67, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.04/1.42 'tc_fun' [68, 2] (w:1, o:188, a:1, s:1, b:0),
% 1.04/1.42 'c_Orderings_Obot__class_Obot' [69, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.04/1.42 'c_Finite__Set_Osetprod' [70, 4] (w:1, o:210, a:1, s:1, b:0),
% 1.04/1.42 'c_Finite__Set_Ofinite' [72, 2] (w:1, o:189, a:1, s:1, b:0),
% 1.04/1.42 'tc_nat' [73, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.04/1.42 'c_HOL_Ominus__class_Ominus' [74, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.04/1.42 'class_OrderedGroup_Olordered__ab__group__add' [76, 1] (w:1, o:113
% 1.04/1.42 , a:1, s:1, b:0),
% 1.04/1.42 'class_OrderedGroup_Opordered__ab__semigroup__add' [77, 1] (w:1, o:
% 1.04/1.42 114, a:1, s:1, b:0),
% 1.04/1.42 'class_OrderedGroup_Ogroup__add' [84, 1] (w:1, o:115, a:1, s:1, b:0)
% 1.04/1.42 ,
% 1.04/1.42 'c_HOL_Ouminus__class_Ouminus' [85, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf' [86, 3] (w:1, o:205, a:1
% 1.04/1.42 , s:1, b:0),
% 1.04/1.42 'class_Ring__and__Field_Osemiring__0' [87, 1] (w:1, o:119, a:1, s:1
% 1.04/1.42 , b:0),
% 1.04/1.42 'class_Power_Opower' [88, 1] (w:1, o:136, a:1, s:1, b:0),
% 1.04/1.42 'class_OrderedGroup_Opordered__ab__group__add' [89, 1] (w:1, o:120
% 1.04/1.42 , a:1, s:1, b:0),
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat' [90, 2] (w:1, o:190, a:1, s:1
% 1.04/1.42 , b:0),
% 1.04/1.42 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [91, 1]
% 1.04/1.42 (w:1, o:121, a:1, s:1, b:0),
% 1.04/1.42 'class_OrderedGroup_Ocomm__monoid__add' [92, 1] (w:1, o:122, a:1, s:1
% 1.04/1.42 , b:0),
% 1.04/1.42 'c_Orderings_Otop__class_Otop' [94, 1] (w:1, o:137, a:1, s:1, b:0),
% 1.04/1.42 'c_Complete__Lattice_Ocomplete__lattice' [100, 9] (w:1, o:228, a:1
% 1.04/1.42 , s:1, b:0),
% 1.04/1.42 'tc_Arrow__Order__Mirabelle_Oalt' [101, 0] (w:1, o:51, a:1, s:1, b:0)
% 1.04/1.42 ,
% 1.04/1.42 'tc_prod' [102, 2] (w:1, o:191, a:1, s:1, b:0),
% 1.04/1.42 'c_in' [103, 1] (w:1, o:138, a:1, s:1, b:0),
% 1.04/1.42 'c_Pair' [105, 4] (w:1, o:211, a:1, s:1, b:0),
% 1.04/1.42 'c_Arrow__Order__Mirabelle_Omkbot' [106, 0] (w:1, o:52, a:1, s:1, b:0
% 1.04/1.42 ),
% 1.04/1.42 'class_Lattices_Oboolean__algebra' [108, 1] (w:1, o:139, a:1, s:1, b:
% 1.04/1.42 0),
% 1.04/1.42 'class_OrderedGroup_Oordered__ab__group__add' [109, 1] (w:1, o:107
% 1.04/1.42 , a:1, s:1, b:0),
% 1.04/1.42 'class_OrderedGroup_Oab__semigroup__add' [110, 1] (w:1, o:123, a:1
% 1.04/1.42 , s:1, b:0),
% 1.04/1.42 'class_Ring__and__Field_Ozero__neq__one' [111, 1] (w:1, o:140, a:1
% 1.04/1.42 , s:1, b:0),
% 1.04/1.42 'class_Ring__and__Field_Ono__zero__divisors' [112, 1] (w:1, o:103, a:
% 1.04/1.42 1, s:1, b:0),
% 1.04/1.42 'class_Ring__and__Field_Omult__zero' [113, 1] (w:1, o:102, a:1, s:1
% 1.04/1.42 , b:0),
% 1.04/1.42 'class_OrderedGroup_Omonoid__mult' [115, 1] (w:1, o:125, a:1, s:1, b:
% 1.04/1.42 0),
% 1.04/1.42 'c_Orderings_Opreorder' [116, 3] (w:1, o:202, a:1, s:1, b:0),
% 1.04/1.42 'class_OrderedGroup_Olordered__ab__group__add__meet' [117, 1] (w:1
% 1.04/1.42 , o:124, a:1, s:1, b:0),
% 1.04/1.42 'c_Finite__Set_Ocard' [119, 2] (w:1, o:192, a:1, s:1, b:0),
% 1.04/1.42 'class_Ring__and__Field_Osemiring__1' [120, 1] (w:1, o:141, a:1, s:1
% 1.04/1.42 , b:0),
% 1.04/1.42 'c_Orderings_Olinorder' [123, 3] (w:1, o:203, a:1, s:1, b:0),
% 1.04/1.42 'c_List_Olist_OCons' [125, 3] (w:1, o:206, a:1, s:1, b:0),
% 1.04/1.42 'c_List_Ofoldl' [126, 5] (w:1, o:219, a:1, s:1, b:0),
% 1.04/1.42 'class_Lattices_Olower__semilattice' [127, 1] (w:1, o:142, a:1, s:1
% 1.04/1.42 , b:0),
% 1.04/1.42 'class_Lattices_Olattice' [129, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.04/1.42 'class_Orderings_Olinorder' [130, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.04/1.42 'c_SetInterval_Oord__class_OlessThan' [131, 2] (w:1, o:193, a:1, s:1
% 1.04/1.42 , b:0),
% 1.04/1.42 'c_Arrow__Order__Mirabelle_Omktop' [132, 0] (w:1, o:58, a:1, s:1, b:0
% 1.04/1.42 ),
% 1.04/1.42 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1' [134, 2] (w:1, o:
% 1.04/1.42 194, a:1, s:1, b:0),
% 1.04/1.42 'c_Arrow__Order__Mirabelle_Odictator' [135, 2] (w:1, o:195, a:1, s:1
% 1.04/1.42 , b:0),
% 1.04/1.42 'class_Ring__and__Field_Oidom' [136, 1] (w:1, o:144, a:1, s:1, b:0),
% 1.04/1.42
% 1.04/1.42 'class_Int_Onumber__ring' [137, 1] (w:1, o:146, a:1, s:1, b:0),
% 1.04/1.42 'c_Lattices_Odistrib__lattice' [138, 5] (w:1, o:220, a:1, s:1, b:0),
% 1.04/1.42
% 1.04/1.42 'c_Set_Ovimage' [139, 4] (w:1, o:212, a:1, s:1, b:0),
% 1.04/1.42 'class_Orderings_Obot' [141, 1] (w:1, o:127, a:1, s:1, b:0),
% 1.04/1.42 'c_SetInterval_Oord__class_OgreaterThan' [142, 2] (w:1, o:196, a:1
% 1.04/1.42 , s:1, b:0),
% 1.04/1.42 'class_Lattices_Obounded__lattice' [143, 1] (w:1, o:147, a:1, s:1, b:
% 8.23/8.59 0),
% 8.23/8.59 'class_OrderedGroup_Osemigroup__add' [144, 1] (w:1, o:128, a:1, s:1
% 8.23/8.59 , b:0),
% 8.23/8.59 'v_F' [146, 0] (w:1, o:62, a:1, s:1, b:0),
% 8.23/8.59 'c_Arrow__Order__Mirabelle_OIIA' [147, 1] (w:1, o:148, a:1, s:1, b:0)
% 8.23/8.59 ,
% 8.23/8.59 'class_Nat_Osemiring__char__0' [148, 1] (w:1, o:95, a:1, s:1, b:0),
% 8.23/8.59 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__measure__1__1' [151, 3
% 8.23/8.59 ] (w:1, o:207, a:1, s:1, b:0),
% 8.23/8.59 'class_Ring__and__Field_Oordered__idom' [152, 1] (w:1, o:149, a:1, s:
% 8.23/8.59 1, b:0),
% 8.23/8.59 'class_OrderedGroup_Omonoid__add' [153, 1] (w:1, o:129, a:1, s:1, b:0
% 8.23/8.59 ),
% 8.23/8.59 'c_List_Olist_ONil' [154, 1] (w:1, o:150, a:1, s:1, b:0),
% 8.23/8.59 'c_Finite__Set_Osetsum' [156, 4] (w:1, o:213, a:1, s:1, b:0),
% 8.23/8.59 'class_OrderedGroup_Ocancel__ab__semigroup__add' [157, 1] (w:1, o:130
% 8.23/8.59 , a:1, s:1, b:0),
% 8.23/8.59 'class_OrderedGroup_Ocancel__semigroup__add' [158, 1] (w:1, o:131, a:
% 8.23/8.59 1, s:1, b:0),
% 8.23/8.59 'class_Orderings_Opreorder' [159, 1] (w:1, o:133, a:1, s:1, b:0),
% 8.23/8.59 'c_Arrow__Order__Mirabelle_Ounanimity' [162, 1] (w:1, o:151, a:1, s:1
% 8.23/8.59 , b:0),
% 8.23/8.59 'c_ATP__Linkup_Osko__Nat__Xnat__less__induct__1__1' [163, 1] (w:1, o:
% 8.23/8.59 152, a:1, s:1, b:0),
% 8.23/8.59 'class_Finite__Set_Ofinite_Ofinite' [164, 1] (w:1, o:153, a:1, s:1
% 8.23/8.59 , b:0),
% 8.23/8.59 'c_Lattices_Obounded__lattice' [166, 7] (w:1, o:227, a:1, s:1, b:0),
% 8.23/8.59
% 8.23/8.59 'c_COMBB' [167, 4] (w:1, o:214, a:1, s:1, b:0),
% 8.23/8.59 'c_Fun_Ooverride__on' [169, 5] (w:1, o:221, a:1, s:1, b:0),
% 8.23/8.59 'c_List_Odistinct' [170, 2] (w:1, o:197, a:1, s:1, b:0),
% 8.23/8.59 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [171, 1]
% 8.23/8.59 (w:1, o:134, a:1, s:1, b:0),
% 8.23/8.59 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__1__1' [172, 3] (w:1, o:
% 8.23/8.59 208, a:1, s:1, b:0),
% 8.23/8.59 'class_Orderings_Oorder' [173, 1] (w:1, o:132, a:1, s:1, b:0),
% 8.23/8.59 'c_Lattices_Olattice' [174, 5] (w:1, o:222, a:1, s:1, b:0),
% 8.23/8.59 'class_Ring__and__Field_Oring__1__no__zero__divisors' [175, 1] (w:1
% 8.23/8.59 , o:117, a:1, s:1, b:0),
% 8.23/8.59 'c_HOL_OIf' [177, 1] (w:1, o:154, a:1, s:1, b:0),
% 8.23/8.59 'c_COMBC' [178, 4] (w:1, o:215, a:1, s:1, b:0),
% 8.23/8.59 'c_COMBS' [179, 5] (w:1, o:223, a:1, s:1, b:0),
% 8.23/8.59 'class_Orderings_Otop' [182, 1] (w:1, o:135, a:1, s:1, b:0),
% 8.23/8.59 'class_Ring__and__Field_Oring__1' [183, 1] (w:1, o:118, a:1, s:1, b:0
% 8.23/8.59 ),
% 8.23/8.59 'c_ATP__Linkup_Osko__Nat__Xmeasure__induct__rule__1__1' [185, 3] (w:1
% 8.23/8.59 , o:209, a:1, s:1, b:0),
% 8.23/8.59 'c_fequal' [186, 1] (w:1, o:155, a:1, s:1, b:0),
% 8.23/8.59 'c_The' [188, 2] (w:1, o:198, a:1, s:1, b:0),
% 8.23/8.59 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent__1__1' [189, 1] (w:1, o:
% 8.23/8.59 156, a:1, s:1, b:0),
% 8.23/8.59 'c_List_Osko__List__Xall__nat__less__eq__1__2' [191, 2] (w:1, o:199
% 8.23/8.59 , a:1, s:1, b:0),
% 8.23/8.59 'c_List_Osko__List__Xex__nat__less__eq__1__1' [192, 2] (w:1, o:200
% 8.23/8.59 , a:1, s:1, b:0),
% 8.23/8.59 't_a' [193, 0] (w:1, o:69, a:1, s:1, b:0),
% 8.23/8.59 'v_a' [194, 0] (w:1, o:70, a:1, s:1, b:0),
% 8.23/8.59 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1' [195, 5
% 8.23/8.59 ] (w:1, o:224, a:1, s:1, b:0),
% 8.23/8.59 'c_FunDef_OTHE__default' [197, 1] (w:1, o:157, a:1, s:1, b:0),
% 8.23/8.59 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1' [198, 5]
% 8.23/8.59 (w:1, o:225, a:1, s:1, b:0),
% 8.23/8.59 'c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1' [200, 5] (w:1
% 8.23/8.59 , o:226, a:1, s:1, b:0),
% 8.23/8.59 'c_ATP__Linkup_Osko__FunDef__Xfundef__default__value__1__1' [202, 4]
% 8.23/8.59 (w:1, o:216, a:1, s:1, b:0),
% 8.23/8.59 'v_a____' [203, 0] (w:1, o:72, a:1, s:1, b:0),
% 8.23/8.59 'v_b____' [204, 0] (w:1, o:73, a:1, s:1, b:0),
% 8.23/8.59 'tc_Arrow__Order__Mirabelle_Oindi' [205, 0] (w:1, o:74, a:1, s:1, b:0
% 8.23/8.59 ),
% 8.23/8.59 'v_h____' [206, 0] (w:1, o:75, a:1, s:1, b:0),
% 8.23/8.59 'v_n____' [207, 0] (w:1, o:76, a:1, s:1, b:0),
% 8.23/8.59 'v_Lab____' [208, 0] (w:1, o:77, a:1, s:1, b:0),
% 8.23/8.59 'v_Lba____' [209, 0] (w:1, o:78, a:1, s:1, b:0),
% 8.23/8.59 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2' [210, 1] (w:1, o:158
% 8.23/8.59 , a:1, s:1, b:0),
% 8.23/8.59 'c_Arrow__Order__Mirabelle_OProf' [211, 0] (w:1, o:79, a:1, s:1, b:0)
% 8.23/8.59 ,
% 8.23/8.59 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2' [212, 1] (w:1
% 8.23/8.59 , o:159, a:1, s:1, b:0),
% 30.96/31.33 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3' [213, 1] (w:1, o:160
% 30.96/31.33 , a:1, s:1, b:0),
% 30.96/31.33 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [214, 4] (w:1, o:217
% 30.96/31.33 , a:1, s:1, b:0),
% 30.96/31.33 'v_c____' [217, 0] (w:1, o:81, a:1, s:1, b:0),
% 30.96/31.33 'v_d____' [218, 0] (w:1, o:82, a:1, s:1, b:0),
% 30.96/31.33 'v_e____' [219, 0] (w:1, o:83, a:1, s:1, b:0),
% 30.96/31.33 'class_HOL_Oord' [220, 1] (w:1, o:145, a:1, s:1, b:0),
% 30.96/31.33 'c_FuncSet_OPi' [221, 4] (w:1, o:218, a:1, s:1, b:0),
% 30.96/31.33 'v_P____' [223, 0] (w:1, o:84, a:1, s:1, b:0),
% 30.96/31.33 'c_Arrow__Order__Mirabelle_Oabove' [224, 0] (w:1, o:85, a:1, s:1, b:0
% 30.96/31.33 ).
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Starting Search:
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 4564
% 30.96/31.33 Kept: 2111
% 30.96/31.33 Inuse: 164
% 30.96/31.33 Deleted: 7
% 30.96/31.33 Deletedinuse: 0
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 10151
% 30.96/31.33 Kept: 4133
% 30.96/31.33 Inuse: 286
% 30.96/31.33 Deleted: 10
% 30.96/31.33 Deletedinuse: 0
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 22237
% 30.96/31.33 Kept: 7428
% 30.96/31.33 Inuse: 310
% 30.96/31.33 Deleted: 11
% 30.96/31.33 Deletedinuse: 0
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 33841
% 30.96/31.33 Kept: 9462
% 30.96/31.33 Inuse: 315
% 30.96/31.33 Deleted: 11
% 30.96/31.33 Deletedinuse: 0
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 39642
% 30.96/31.33 Kept: 11467
% 30.96/31.33 Inuse: 335
% 30.96/31.33 Deleted: 11
% 30.96/31.33 Deletedinuse: 0
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 44767
% 30.96/31.33 Kept: 13488
% 30.96/31.33 Inuse: 364
% 30.96/31.33 Deleted: 11
% 30.96/31.33 Deletedinuse: 0
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 51993
% 30.96/31.33 Kept: 15492
% 30.96/31.33 Inuse: 403
% 30.96/31.33 Deleted: 20
% 30.96/31.33 Deletedinuse: 1
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 67444
% 30.96/31.33 Kept: 18244
% 30.96/31.33 Inuse: 444
% 30.96/31.33 Deleted: 23
% 30.96/31.33 Deletedinuse: 1
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying clauses:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 74602
% 30.96/31.33 Kept: 20396
% 30.96/31.33 Inuse: 478
% 30.96/31.33 Deleted: 186
% 30.96/31.33 Deletedinuse: 1
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 86311
% 30.96/31.33 Kept: 22430
% 30.96/31.33 Inuse: 507
% 30.96/31.33 Deleted: 219
% 30.96/31.33 Deletedinuse: 2
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 102158
% 30.96/31.33 Kept: 25356
% 30.96/31.33 Inuse: 521
% 30.96/31.33 Deleted: 222
% 30.96/31.33 Deletedinuse: 3
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 110661
% 30.96/31.33 Kept: 27614
% 30.96/31.33 Inuse: 540
% 30.96/31.33 Deleted: 223
% 30.96/31.33 Deletedinuse: 4
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 122675
% 30.96/31.33 Kept: 30996
% 30.96/31.33 Inuse: 550
% 30.96/31.33 Deleted: 223
% 30.96/31.33 Deletedinuse: 4
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 130126
% 30.96/31.33 Kept: 33282
% 30.96/31.33 Inuse: 585
% 30.96/31.33 Deleted: 223
% 30.96/31.33 Deletedinuse: 4
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 142978
% 30.96/31.33 Kept: 35851
% 30.96/31.33 Inuse: 615
% 30.96/31.33 Deleted: 223
% 30.96/31.33 Deletedinuse: 4
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 159320
% 30.96/31.33 Kept: 38321
% 30.96/31.33 Inuse: 625
% 30.96/31.33 Deleted: 223
% 30.96/31.33 Deletedinuse: 4
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying clauses:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 168080
% 30.96/31.33 Kept: 40738
% 30.96/31.33 Inuse: 665
% 30.96/31.33 Deleted: 535
% 30.96/31.33 Deletedinuse: 4
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 176738
% 30.96/31.33 Kept: 42946
% 30.96/31.33 Inuse: 700
% 30.96/31.33 Deleted: 535
% 30.96/31.33 Deletedinuse: 4
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 188183
% 30.96/31.33 Kept: 44947
% 30.96/31.33 Inuse: 713
% 30.96/31.33 Deleted: 535
% 30.96/31.33 Deletedinuse: 4
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 208125
% 30.96/31.33 Kept: 48087
% 30.96/31.33 Inuse: 765
% 30.96/31.33 Deleted: 535
% 30.96/31.33 Deletedinuse: 4
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33 Resimplifying inuse:
% 30.96/31.33 Done
% 30.96/31.33
% 30.96/31.33
% 30.96/31.33 Intermediate Status:
% 30.96/31.33 Generated: 221079
% 30.96/31.33 Kept: 50759
% 30.96/31.33 Inuse: 775
% 71.94/72.39 Deleted: 536
% 71.94/72.39 Deletedinuse: 5
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 235542
% 71.94/72.39 Kept: 53257
% 71.94/72.39 Inuse: 809
% 71.94/72.39 Deleted: 546
% 71.94/72.39 Deletedinuse: 14
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 248778
% 71.94/72.39 Kept: 56093
% 71.94/72.39 Inuse: 819
% 71.94/72.39 Deleted: 546
% 71.94/72.39 Deletedinuse: 14
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 260833
% 71.94/72.39 Kept: 59290
% 71.94/72.39 Inuse: 829
% 71.94/72.39 Deleted: 546
% 71.94/72.39 Deletedinuse: 14
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying clauses:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 271408
% 71.94/72.39 Kept: 61545
% 71.94/72.39 Inuse: 864
% 71.94/72.39 Deleted: 818
% 71.94/72.39 Deletedinuse: 14
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 293144
% 71.94/72.39 Kept: 63770
% 71.94/72.39 Inuse: 882
% 71.94/72.39 Deleted: 818
% 71.94/72.39 Deletedinuse: 14
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 301119
% 71.94/72.39 Kept: 65852
% 71.94/72.39 Inuse: 899
% 71.94/72.39 Deleted: 819
% 71.94/72.39 Deletedinuse: 15
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 313962
% 71.94/72.39 Kept: 69156
% 71.94/72.39 Inuse: 914
% 71.94/72.39 Deleted: 819
% 71.94/72.39 Deletedinuse: 15
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 327104
% 71.94/72.39 Kept: 71158
% 71.94/72.39 Inuse: 960
% 71.94/72.39 Deleted: 819
% 71.94/72.39 Deletedinuse: 15
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 336435
% 71.94/72.39 Kept: 73736
% 71.94/72.39 Inuse: 974
% 71.94/72.39 Deleted: 819
% 71.94/72.39 Deletedinuse: 15
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 343205
% 71.94/72.39 Kept: 75848
% 71.94/72.39 Inuse: 983
% 71.94/72.39 Deleted: 821
% 71.94/72.39 Deletedinuse: 16
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 356348
% 71.94/72.39 Kept: 77947
% 71.94/72.39 Inuse: 1008
% 71.94/72.39 Deleted: 821
% 71.94/72.39 Deletedinuse: 16
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 374539
% 71.94/72.39 Kept: 81015
% 71.94/72.39 Inuse: 1011
% 71.94/72.39 Deleted: 829
% 71.94/72.39 Deletedinuse: 17
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying clauses:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 399103
% 71.94/72.39 Kept: 83975
% 71.94/72.39 Inuse: 1021
% 71.94/72.39 Deleted: 1122
% 71.94/72.39 Deletedinuse: 17
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 408739
% 71.94/72.39 Kept: 86334
% 71.94/72.39 Inuse: 1031
% 71.94/72.39 Deleted: 1122
% 71.94/72.39 Deletedinuse: 17
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 416314
% 71.94/72.39 Kept: 88355
% 71.94/72.39 Inuse: 1048
% 71.94/72.39 Deleted: 1122
% 71.94/72.39 Deletedinuse: 17
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 443176
% 71.94/72.39 Kept: 90410
% 71.94/72.39 Inuse: 1068
% 71.94/72.39 Deleted: 1123
% 71.94/72.39 Deletedinuse: 18
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 450614
% 71.94/72.39 Kept: 92507
% 71.94/72.39 Inuse: 1083
% 71.94/72.39 Deleted: 1123
% 71.94/72.39 Deletedinuse: 18
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 481332
% 71.94/72.39 Kept: 96284
% 71.94/72.39 Inuse: 1111
% 71.94/72.39 Deleted: 1123
% 71.94/72.39 Deletedinuse: 18
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 491223
% 71.94/72.39 Kept: 98630
% 71.94/72.39 Inuse: 1121
% 71.94/72.39 Deleted: 1123
% 71.94/72.39 Deletedinuse: 18
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 506708
% 71.94/72.39 Kept: 101958
% 71.94/72.39 Inuse: 1126
% 71.94/72.39 Deleted: 1123
% 71.94/72.39 Deletedinuse: 18
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying clauses:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 522157
% 71.94/72.39 Kept: 105451
% 71.94/72.39 Inuse: 1131
% 71.94/72.39 Deleted: 1225
% 71.94/72.39 Deletedinuse: 18
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 531702
% 71.94/72.39 Kept: 107537
% 71.94/72.39 Inuse: 1136
% 71.94/72.39 Deleted: 1225
% 71.94/72.39 Deletedinuse: 18
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 541526
% 71.94/72.39 Kept: 110006
% 71.94/72.39 Inuse: 1151
% 71.94/72.39 Deleted: 1225
% 71.94/72.39 Deletedinuse: 18
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39
% 71.94/72.39 Intermediate Status:
% 71.94/72.39 Generated: 551375
% 71.94/72.39 Kept: 112356
% 71.94/72.39 Inuse: 1166
% 71.94/72.39 Deleted: 1225
% 71.94/72.39 Deletedinuse: 18
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 71.94/72.39 Done
% 71.94/72.39
% 71.94/72.39 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 562060
% 134.91/135.32 Kept: 114806
% 134.91/135.32 Inuse: 1181
% 134.91/135.32 Deleted: 1225
% 134.91/135.32 Deletedinuse: 18
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 572876
% 134.91/135.32 Kept: 117229
% 134.91/135.32 Inuse: 1196
% 134.91/135.32 Deleted: 1225
% 134.91/135.32 Deletedinuse: 18
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 592268
% 134.91/135.32 Kept: 121744
% 134.91/135.32 Inuse: 1206
% 134.91/135.32 Deleted: 1225
% 134.91/135.32 Deletedinuse: 18
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying clauses:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 612464
% 134.91/135.32 Kept: 124029
% 134.91/135.32 Inuse: 1211
% 134.91/135.32 Deleted: 1756
% 134.91/135.32 Deletedinuse: 18
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 621711
% 134.91/135.32 Kept: 126240
% 134.91/135.32 Inuse: 1216
% 134.91/135.32 Deleted: 1756
% 134.91/135.32 Deletedinuse: 18
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 632677
% 134.91/135.32 Kept: 128380
% 134.91/135.32 Inuse: 1236
% 134.91/135.32 Deleted: 1757
% 134.91/135.32 Deletedinuse: 19
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 655389
% 134.91/135.32 Kept: 130589
% 134.91/135.32 Inuse: 1271
% 134.91/135.32 Deleted: 1757
% 134.91/135.32 Deletedinuse: 19
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 670902
% 134.91/135.32 Kept: 133723
% 134.91/135.32 Inuse: 1279
% 134.91/135.32 Deleted: 1776
% 134.91/135.32 Deletedinuse: 21
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 681699
% 134.91/135.32 Kept: 135956
% 134.91/135.32 Inuse: 1285
% 134.91/135.32 Deleted: 1792
% 134.91/135.32 Deletedinuse: 23
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 686920
% 134.91/135.32 Kept: 137979
% 134.91/135.32 Inuse: 1291
% 134.91/135.32 Deleted: 1823
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 691726
% 134.91/135.32 Kept: 139998
% 134.91/135.32 Inuse: 1294
% 134.91/135.32 Deleted: 1830
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 698426
% 134.91/135.32 Kept: 142101
% 134.91/135.32 Inuse: 1304
% 134.91/135.32 Deleted: 1855
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying clauses:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 706439
% 134.91/135.32 Kept: 144417
% 134.91/135.32 Inuse: 1309
% 134.91/135.32 Deleted: 2351
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 714969
% 134.91/135.32 Kept: 146533
% 134.91/135.32 Inuse: 1329
% 134.91/135.32 Deleted: 2351
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 746209
% 134.91/135.32 Kept: 150427
% 134.91/135.32 Inuse: 1339
% 134.91/135.32 Deleted: 2351
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 761753
% 134.91/135.32 Kept: 152443
% 134.91/135.32 Inuse: 1343
% 134.91/135.32 Deleted: 2352
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 780789
% 134.91/135.32 Kept: 156837
% 134.91/135.32 Inuse: 1351
% 134.91/135.32 Deleted: 2354
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 797912
% 134.91/135.32 Kept: 158837
% 134.91/135.32 Inuse: 1356
% 134.91/135.32 Deleted: 2354
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 831326
% 134.91/135.32 Kept: 162721
% 134.91/135.32 Inuse: 1364
% 134.91/135.32 Deleted: 2356
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying clauses:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 842836
% 134.91/135.32 Kept: 165037
% 134.91/135.32 Inuse: 1379
% 134.91/135.32 Deleted: 2510
% 134.91/135.32 Deletedinuse: 30
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 854232
% 134.91/135.32 Kept: 167050
% 134.91/135.32 Inuse: 1402
% 134.91/135.32 Deleted: 2512
% 134.91/135.32 Deletedinuse: 32
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 864060
% 134.91/135.32 Kept: 169884
% 134.91/135.32 Inuse: 1412
% 134.91/135.32 Deleted: 2519
% 134.91/135.32 Deletedinuse: 37
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 872427
% 134.91/135.32 Kept: 172148
% 134.91/135.32 Inuse: 1427
% 134.91/135.32 Deleted: 2519
% 134.91/135.32 Deletedinuse: 37
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 881753
% 134.91/135.32 Kept: 174511
% 134.91/135.32 Inuse: 1442
% 134.91/135.32 Deleted: 2519
% 134.91/135.32 Deletedinuse: 37
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32 Resimplifying inuse:
% 134.91/135.32 Done
% 134.91/135.32
% 134.91/135.32
% 134.91/135.32 Intermediate Status:
% 134.91/135.32 Generated: 891976
% 134.91/135.32 Kept: 177274
% 134.91/135.32 Inuse: 1456
% 270.84/271.34 Deleted: 2520
% 270.84/271.34 Deletedinuse: 37
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 900683
% 270.84/271.34 Kept: 179927
% 270.84/271.34 Inuse: 1471
% 270.84/271.34 Deleted: 2521
% 270.84/271.34 Deletedinuse: 38
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 908919
% 270.84/271.34 Kept: 182270
% 270.84/271.34 Inuse: 1480
% 270.84/271.34 Deleted: 2529
% 270.84/271.34 Deletedinuse: 40
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying clauses:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 919562
% 270.84/271.34 Kept: 184710
% 270.84/271.34 Inuse: 1498
% 270.84/271.34 Deleted: 2918
% 270.84/271.34 Deletedinuse: 43
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 930310
% 270.84/271.34 Kept: 187360
% 270.84/271.34 Inuse: 1515
% 270.84/271.34 Deleted: 2925
% 270.84/271.34 Deletedinuse: 47
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 942066
% 270.84/271.34 Kept: 189930
% 270.84/271.34 Inuse: 1533
% 270.84/271.34 Deleted: 2928
% 270.84/271.34 Deletedinuse: 48
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 950325
% 270.84/271.34 Kept: 191977
% 270.84/271.34 Inuse: 1544
% 270.84/271.34 Deleted: 2933
% 270.84/271.34 Deletedinuse: 49
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 961122
% 270.84/271.34 Kept: 194733
% 270.84/271.34 Inuse: 1559
% 270.84/271.34 Deleted: 2935
% 270.84/271.34 Deletedinuse: 51
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 975707
% 270.84/271.34 Kept: 197280
% 270.84/271.34 Inuse: 1583
% 270.84/271.34 Deleted: 2936
% 270.84/271.34 Deletedinuse: 51
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 984483
% 270.84/271.34 Kept: 199731
% 270.84/271.34 Inuse: 1588
% 270.84/271.34 Deleted: 2941
% 270.84/271.34 Deletedinuse: 56
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 994270
% 270.84/271.34 Kept: 202001
% 270.84/271.34 Inuse: 1593
% 270.84/271.34 Deleted: 2941
% 270.84/271.34 Deletedinuse: 56
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying clauses:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1002544
% 270.84/271.34 Kept: 204268
% 270.84/271.34 Inuse: 1607
% 270.84/271.34 Deleted: 3996
% 270.84/271.34 Deletedinuse: 56
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1029204
% 270.84/271.34 Kept: 208220
% 270.84/271.34 Inuse: 1621
% 270.84/271.34 Deleted: 3997
% 270.84/271.34 Deletedinuse: 56
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1041650
% 270.84/271.34 Kept: 210221
% 270.84/271.34 Inuse: 1641
% 270.84/271.34 Deleted: 3999
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1054198
% 270.84/271.34 Kept: 212785
% 270.84/271.34 Inuse: 1651
% 270.84/271.34 Deleted: 3999
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1067532
% 270.84/271.34 Kept: 215041
% 270.84/271.34 Inuse: 1671
% 270.84/271.34 Deleted: 3999
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1076545
% 270.84/271.34 Kept: 217042
% 270.84/271.34 Inuse: 1690
% 270.84/271.34 Deleted: 3999
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1101791
% 270.84/271.34 Kept: 220722
% 270.84/271.34 Inuse: 1701
% 270.84/271.34 Deleted: 3999
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1111591
% 270.84/271.34 Kept: 223211
% 270.84/271.34 Inuse: 1716
% 270.84/271.34 Deleted: 3999
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying clauses:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1137728
% 270.84/271.34 Kept: 229096
% 270.84/271.34 Inuse: 1726
% 270.84/271.34 Deleted: 4718
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1159920
% 270.84/271.34 Kept: 234035
% 270.84/271.34 Inuse: 1731
% 270.84/271.34 Deleted: 4718
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1176518
% 270.84/271.34 Kept: 236863
% 270.84/271.34 Inuse: 1746
% 270.84/271.34 Deleted: 4718
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1189556
% 270.84/271.34 Kept: 239543
% 270.84/271.34 Inuse: 1761
% 270.84/271.34 Deleted: 4718
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1196835
% 270.84/271.34 Kept: 241801
% 270.84/271.34 Inuse: 1771
% 270.84/271.34 Deleted: 4718
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34
% 270.84/271.34 Intermediate Status:
% 270.84/271.34 Generated: 1203398
% 270.84/271.34 Kept: 243857
% 270.84/271.34 Inuse: 1781
% 270.84/271.34 Deleted: 4718
% 270.84/271.34 Deletedinuse: 58
% 270.84/271.34
% 270.84/271.34 Resimplifying inuse:
% 270.84/271.34 Done
% 270.84/271.34
% 270.84/271.34 Resimplifying clausCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------