TSTP Solution File: LCL747-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL747-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 : Sun Jul 17 07:57:28 EDT 2022
% Result : Timeout 300.07s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL747-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sun Jul 3 04:44:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.04/1.42 *** allocated 10000 integers for termspace/termends
% 1.04/1.42 *** allocated 10000 integers for clauses
% 1.04/1.42 *** allocated 10000 integers for justifications
% 1.04/1.42 *** allocated 15000 integers for termspace/termends
% 1.04/1.42 *** allocated 22500 integers for termspace/termends
% 1.04/1.42 Bliksem 1.12
% 1.04/1.42
% 1.04/1.42
% 1.04/1.42 Automatic Strategy Selection
% 1.04/1.42
% 1.04/1.42 Clauses:
% 1.04/1.42 [
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), T ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), T ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ), 'tc_nat' ), X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.42 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X )
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.04/1.42 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.04/1.42 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.42 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ =( X, Y ), ~( 'c_List_Olist__all2'( 'c_fequal'( Z ), X, Y, Z, Z ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.42 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.42 Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.04/1.42 Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.04/1.42 Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.42 X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.42 [ 'c_Type_Otypings'( X, 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'(
% 1.04/1.42 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.04/1.42 'tc_Lambda_OdB' ) ), Y ), 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), Z
% 1.04/1.42 ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 'c_Type_Otypings'(
% 1.04/1.42 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) ), ~(
% 1.04/1.42 'c_Type_Otyping'( X, Y, W ) ) ],
% 1.04/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.42 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.04/1.42 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 1.04/1.42 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Olift', X ), T ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.04/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.42 'tc_nat' ) ) ) ) ) ],
% 1.04/1.42 [ 'c_List_Olist__all2'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 1.04/1.42 U, W, V0 ), T, V0 ), ~( 'c_List_Olist__all2'( X, Z, W, T, V0 ) ), ~(
% 1.04/1.42 'c_List_Olist__all2'( X, Y, U, T, V0 ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ), =( Y, Z ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ), =( Y, Z ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 1.04/1.42 X, Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 X, Z ) ) ) ],
% 1.04/1.42 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.04/1.42 'c_List_Olist_ONil'( Y ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 1.04/1.42 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.04/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.04/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.04/1.42 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.04/1.42 ), Z ) ) ],
% 1.04/1.42 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 1.04/1.42 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 1.04/1.42 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 1.04/1.42 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.42 X ), Y ), Z ) ), Z ), Y ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.04/1.42 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 1.04/1.42 hAPP( Z, T ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 1.04/1.42 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.04/1.42 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) )
% 1.04/1.42 , 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ),
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.42 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) )
% 1.04/1.42 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ), X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.04/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.04/1.42 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 1.04/1.42 =( X, T ) ],
% 1.04/1.42 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 1.04/1.42 =( Y, T ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.04/1.42 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 1.04/1.42 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.42 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.04/1.42 Y ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 1.04/1.42 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 1.04/1.42 X ) ) ), hBOOL( 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 1.04/1.42 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB' ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), T ), Z ) ), U ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.04/1.42 [ =( 'c_Collect'( X, Y ), X ) ],
% 1.04/1.42 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 1.04/1.42 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.04/1.42 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.04/1.42 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 1.04/1.42 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.42 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z
% 1.04/1.42 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z
% 1.04/1.42 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , T ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T )
% 1.04/1.42 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ) ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ) ), W ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 1.04/1.42 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.42 'tc_nat' ) ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.42 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.04/1.42 X ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.04/1.42 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.04/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.04/1.42 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.04/1.42 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.04/1.42 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 1.04/1.42 X ), Y ) ],
% 1.04/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.04/1.42 'tc_bool' ) ), X ) ],
% 1.04/1.42 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.04/1.42 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.04/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.42 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.04/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T
% 1.04/1.42 ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.04/1.42 ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T
% 1.04/1.42 ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.04/1.42 ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Y ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 1.04/1.42 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 1.04/1.42 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 1.04/1.42 'c_Suc'( Y ), Z, T ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.04/1.42 Y ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Z,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Y,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ), X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ) ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ) ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ) ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( Y ) ), X ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ),
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.04/1.42 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 1.04/1.42 ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 1.04/1.42 hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.04/1.42 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.04/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.04/1.42 Z ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 1.04/1.42 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.04/1.42 Z ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.42 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Osubst', X ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ), 'c_Suc'(
% 1.04/1.42 T ) ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ) ), Z ), hAPP(
% 1.04/1.42 hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 1.04/1.42 U ), Z ) ), Y ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.42 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ),
% 1.04/1.42 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.42 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.42 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.42 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.42 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.42 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.42 ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Y,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Z,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.04/1.42 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'(
% 1.04/1.42 X ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.42 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.42 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.04/1.42 Y, X ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), =(
% 1.04/1.42 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'(
% 1.04/1.42 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X
% 1.04/1.42 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'(
% 1.04/1.42 Y ) ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Olift', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.04/1.42 , T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Olift', Y ), T ) ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.42 'tc_nat' ) ) ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 1.04/1.42 ) ), 'c_Suc'( Z ) ), hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Olift', X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.42 'tc_nat' ) ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.04/1.42 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.04/1.42 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.42 X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.04/1.42 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.42 X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.04/1.42 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.42 X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 1.04/1.42 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 1.04/1.42 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.42 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.04/1.42 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 1.04/1.42 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.04/1.42 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.04/1.42 'tc_bool' ) ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.04/1.42 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.04/1.42 Y ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 1.04/1.42 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 1.04/1.42 , Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), Z ), Y ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Z ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.42 , X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ =( 'c_List_Ofilter'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.04/1.42 'c_List_Oappend'( 'c_List_Ofilter'( X, Y, T ), 'c_List_Ofilter'( X, Z, T
% 1.04/1.42 ), T ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.04/1.42 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.04/1.42 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.04/1.42 ) ],
% 1.04/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 1.04/1.42 ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 1.04/1.42 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 1.04/1.42 X ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 1.04/1.42 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 1.04/1.42 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 1.04/1.42 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 1.04/1.42 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), hBOOL( 'c_List_Olistsp'(
% 1.04/1.42 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 1.04/1.42 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 Y, X ), Z ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.04/1.42 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.04/1.42 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X )
% 1.04/1.42 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), X ), W ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), T ) ), U ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 1.04/1.42 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.42 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.42 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.04/1.42 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 1.04/1.42 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.42 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.04/1.42 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.04/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.04/1.42 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.04/1.42 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 1.04/1.42 , 'c_List_Olist_ONil'( X ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 1.04/1.42 , 'c_List_Olist_ONil'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 1.04/1.42 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 1.04/1.42 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.04/1.42 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.04/1.42 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.04/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.42 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.04/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.04/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.42 ) ), Z ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.04/1.42 ) ), Y ) ) ) ],
% 1.04/1.42 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ) ) ) ],
% 1.04/1.42 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 1.04/1.42 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 1.04/1.42 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ), X ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 1.04/1.42 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.42 'tc_nat' ) ) ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.04/1.42 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.04/1.42 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), Z ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.04/1.42 Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.04/1.42 , Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.04/1.42 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.04/1.42 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.42 ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.04/1.42 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 1.04/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 1.04/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.42 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.04/1.42 [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Olist__all2'( Z,
% 1.04/1.42 'c_List_Olist_ONil'( T ), X, T, Y ) ) ],
% 1.04/1.42 [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Olist__all2'( Z, X,
% 1.04/1.42 'c_List_Olist_ONil'( T ), Y, T ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.42 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.04/1.42 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.04/1.42 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.04/1.42 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Y ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), Z ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 1.04/1.42 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 1.04/1.42 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z
% 1.04/1.42 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.04/1.42 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.42 ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.42 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), Y ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X )
% 1.04/1.42 , T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.04/1.42 , T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.42 ), Y ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 Z, X ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Z ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.04/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.42 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.04/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.04/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.04/1.42 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Y ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( U, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.04/1.42 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.04/1.42 'c_Suc'( Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.04/1.42 , Y ) ) ],
% 1.04/1.42 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.04/1.42 'c_Suc'( X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.04/1.42 , X ) ) ],
% 1.04/1.42 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.04/1.42 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y
% 1.04/1.42 ) ) ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), T ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.04/1.42 ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.04/1.42 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), 'c_Suc'( X ) ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.04/1.42 ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ),
% 1.04/1.42 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.04/1.42 ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) )
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ),
% 1.04/1.42 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.04/1.42 ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( 'c_List_Olistsum'(
% 1.04/1.42 'c_List_Omap'( hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T ), U, Y, X ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_List_Olistsum'( 'c_List_Omap'(
% 1.04/1.42 T, U, Y, X ), X ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.04/1.42 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 1.04/1.42 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 1.04/1.42 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 1.04/1.42 Z ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.04/1.42 Z ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 1.04/1.42 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 1.04/1.42 Z, U ), W ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 1.04/1.42 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 1.04/1.42 Z, U ), W ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 1.04/1.42 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 1.04/1.42 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 1.04/1.42 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 1.04/1.42 , Z, U, W ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 1.04/1.42 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 1.04/1.42 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 1.04/1.42 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 1.04/1.42 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 1.04/1.42 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 1.04/1.42 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 1.04/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.42 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y
% 1.04/1.42 ), X, 'tc_bool', 'tc_bool' ), Z ), X ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.42 'c_Collect'( Z, X ), X ) ), ~( 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X
% 1.04/1.42 ), X ) ) ],
% 1.04/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( X, Y ), Y ), ~(
% 1.04/1.42 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.42 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_or' ), Z
% 1.04/1.42 ), Y, 'tc_bool', 'tc_bool' ), X ), Y ), Y ) ) ],
% 1.04/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( X, Y ), Y ), ~(
% 1.04/1.42 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.42 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_or' ), X
% 1.04/1.42 ), Y, 'tc_bool', 'tc_bool' ), Z ), Y ), Y ) ) ],
% 1.04/1.42 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.04/1.42 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'(
% 1.04/1.42 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ), X, 'tc_bool', 'tc_bool' ), Z )
% 1.04/1.42 , X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.04/1.42 hBOOL( hAPP( Z, Y ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 1.04/1.42 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.42 Y ), X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 1.04/1.42 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.04/1.42 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 1.04/1.42 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 1.04/1.42 ), U ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 1.04/1.42 , 'c_List_Olist_ONil'( T ) ) ],
% 1.04/1.42 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 1.04/1.42 'c_List_Olist_ONil'( Z ) ) ],
% 1.04/1.42 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 1.04/1.42 ), Z, X ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 1.04/1.42 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 1.04/1.42 'tc_Lambda_OdB' ) ) ],
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 1.04/1.42 'tc_Lambda_OdB' ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 1.04/1.42 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 1.04/1.42 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.04/1.42 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 1.04/1.42 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 1.04/1.42 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.42 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 1.04/1.42 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.42 X ) ), Z ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.04/1.42 X ) ), Y ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 1.04/1.42 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 1.04/1.42 X ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ),
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ),
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ), X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ), X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 1.04/1.42 'tc_bool' ), Y ), X ), Y ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.04/1.42 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), X )
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.04/1.42 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.04/1.42 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.04/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.42 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.04/1.42 'tc_bool' ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 1.04/1.42 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 1.04/1.42 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.04/1.42 ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.04/1.42 Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.04/1.42 Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.04/1.42 Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.04/1.42 Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.04/1.42 Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.42 , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.42 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.42 'tc_nat' ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.04/1.42 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.04/1.42 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.04/1.42 'tc_bool' ) ), X ) ],
% 1.04/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 1.04/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 1.04/1.42 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 1.04/1.42 ), hAPP( Z, 'v_x' ), X ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.42 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.04/1.42 X ), Y ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.04/1.42 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 1.04/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 1.04/1.42 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 1.04/1.42 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.04/1.42 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.04/1.42 'c_Suc'( Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y )
% 1.04/1.42 , X ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Z ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.42 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.04/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.04/1.42 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.04/1.42 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.04/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.04/1.42 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.04/1.42 [ 'c_List_Olist__all2'( X, 'c_List_Olist_ONil'( Y ), 'c_List_Olist_ONil'(
% 1.04/1.42 Z ), Y, Z ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.04/1.42 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( X, T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.42 ), Z ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.04/1.42 ), U ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 1.04/1.42 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 1.04/1.42 [ 'c_List_Olist__all2'( 'c_fequal'( X ), Y, Y, X, X ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.04/1.42 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.04/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ),
% 1.04/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.42 ) ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 1.04/1.42 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ),
% 1.04/1.42 'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.42 'tc_nat' ) ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 1.04/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'( Y ) ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_Suc'( X ) ), 'c_Suc'(
% 1.04/1.42 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.04/1.42 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.04/1.42 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.04/1.42 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.04/1.42 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.04/1.42 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.04/1.42 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.04/1.42 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.04/1.42 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.04/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.04/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 1.04/1.42 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), hBOOL( hAPP(
% 1.04/1.42 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.04/1.42 Z ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OGreatestM'( Y, Z, T
% 1.04/1.42 , X ), 'c_Hilbert__Choice_OEps'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.04/1.42 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), Z ), T,
% 1.04/1.42 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ),
% 1.04/1.42 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 1.04/1.42 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), 'c_COMBS'( hAPP( hAPP(
% 1.04/1.42 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies'
% 1.04/1.42 ), Z ), T, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.04/1.42 T, 'tc_bool' ), T ), 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.04/1.42 'tc_bool' ), T ), 'c_lessequals'( X ) ), Y ), T, X, 'tc_bool' ) ), Y ) )
% 1.04/1.42 ) ), T ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'(
% 1.04/1.42 X ) ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 'c_Lambda_OdB_OVar'(
% 1.04/1.42 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 1.04/1.42 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 1.04/1.42 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 1.04/1.42 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ), Z ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 1.04/1.42 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 1.04/1.42 ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 'c_Lambda_OdB_OVar'(
% 1.04/1.42 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 1.04/1.42 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 1.04/1.42 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 1.04/1.42 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 1.04/1.42 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 1.04/1.42 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 1.04/1.42 , Z ) ) ],
% 1.04/1.42 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 1.04/1.42 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 1.04/1.42 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 1.04/1.42 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 1.04/1.42 [ =( 'c_Orderings_Oord_OLeast'( X, 'v_P', 't_a' ), 'c_The'( hAPP(
% 1.04/1.42 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.04/1.42 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' ), 't_a', 'tc_bool', 'tc_bool' ),
% 1.04/1.42 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 1.04/1.42 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 1.04/1.42 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.04/1.42 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ),
% 1.04/1.42 'v_P' ), 't_a', 'tc_bool', 'tc_bool' ) ), X ) ) ), 't_a' ) ) ],
% 1.04/1.42 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), hAPP( 'c_lessequals'(
% 1.04/1.42 'tc_nat' ), 'c_Suc'( 'v_n' ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.04/1.42 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 1.04/1.42 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.04/1.42 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 1.04/1.42 , 'tc_Lambda_OdB' ) ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 1.04/1.42 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 1.04/1.42 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 1.04/1.42 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 1.04/1.42 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 1.04/1.42 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 1.04/1.42 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.04/1.42 ), X ), Y ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 1.04/1.42 hAPP( X, T ) ) ],
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 1.04/1.42 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 1.04/1.42 , Z ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 1.04/1.42 hAPP( X, T ) ) ],
% 1.04/1.42 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 1.04/1.42 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ) ), ~(
% 1.04/1.42 hBOOL( 'c_List_Olistsp'( X, Z, T ) ) ), ~( hBOOL( 'c_List_Olistsp'( X, Y
% 1.04/1.42 , T ) ) ) ],
% 1.04/1.42 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( hAPP( X,
% 1.04/1.42 'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ],
% 1.04/1.42 [ hBOOL( 'c_List_Olistsp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T, Z ) ), ~( hBOOL( 'c_List_Olistsp'( Y
% 1.04/1.42 , T, Z ) ) ), ~( hBOOL( 'c_List_Olistsp'( X, T, Z ) ) ) ],
% 1.04/1.42 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.04/1.42 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 1.04/1.42 'c_List_Oappend'( T, Y, Z ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 1.04/1.42 'c_List_Oappend'( Y, T, Z ), Z ) ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 1.04/1.42 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 1.04/1.42 X ), Y ) ), Z ), Y ), X ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 1.04/1.42 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( 'c_List_Olistsum'(
% 1.04/1.42 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.04/1.42 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U, Y,
% 1.04/1.42 X ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.04/1.42 'c_List_Olistsum'( 'c_List_Omap'( Z, U, Y, X ), X ) ), T ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_List_Olistsum'(
% 1.04/1.42 'c_List_Omap'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.04/1.42 ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), Y, X, X ), T ), U, Y,
% 1.04/1.42 X ), X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.04/1.42 'c_List_Olistsum'( 'c_List_Omap'( Z, U, Y, X ), X ) ), 'c_List_Olistsum'(
% 1.04/1.42 'c_List_Omap'( T, U, Y, X ), X ) ) ) ],
% 1.04/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.42 'c_List_Olistsum'( 'c_List_Omap'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.04/1.42 X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), Y, X, X
% 1.04/1.42 ), T ), U, Y, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.04/1.42 'c_List_Olistsum'( 'c_List_Omap'( Z, U, Y, X ), X ) ), 'c_List_Olistsum'(
% 1.04/1.42 'c_List_Omap'( T, U, Y, X ), X ) ) ) ],
% 1.04/1.42 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 1.04/1.42 'c_List_Ofoldl'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0
% 1.04/1.42 ), 'tc_fun'( 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W,
% 1.04/1.42 V0, U ) ), X ), V0, 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), Z ), Y, T, V0
% 1.04/1.42 , U ) ) ],
% 1.04/1.42 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.04/1.42 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ),
% 1.04/1.42 Y ) ), X, 'tc_bool', 'tc_bool' ), Z ), X ),
% 1.04/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.04/1.42 Z, Y ) ) ],
% 1.04/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.42 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y
% 1.04/1.42 ), X, 'tc_bool', 'tc_bool' ), Z ), X ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.42 'c_Collect'( Z, X ), X ) ) ],
% 1.04/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 1.04/1.42 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y
% 1.04/1.42 ), X, 'tc_bool', 'tc_bool' ), Z ), X ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.04/1.42 'c_Collect'( Y, X ), X ) ) ],
% 1.04/1.42 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.04/1.42 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ), X, 'tc_bool',
% 1.04/1.42 'tc_bool' ), Z ), X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.42 'c_Collect'( Y, X ), 'c_Collect'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 1.04/1.42 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 1.04/1.42 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.04/1.42 X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.42 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.04/1.42 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ 'c_List_Olist__all2'( X, 'c_List_Omap'( Y, Z, T, U ), W, U, V0 ), ~(
% 1.04/1.42 'c_List_Olist__all2'( hAPP( hAPP( 'c_COMBB'( U, 'tc_fun'( V0, 'tc_bool' )
% 1.04/1.42 , T ), X ), Y ), Z, W, T, V0 ) ) ],
% 1.04/1.42 [ 'c_List_Olist__all2'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( Y, 'tc_bool'
% 1.04/1.42 ), Z ), T ), U ), W, V0, Z, Y ), ~( 'c_List_Olist__all2'( T,
% 1.04/1.42 'c_List_Omap'( U, W, Z, X ), V0, X, Y ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.04/1.42 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 1.04/1.42 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), X ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.04/1.42 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), X ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), =( hAPP(
% 1.04/1.42 hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y )
% 1.04/1.42 ],
% 1.04/1.42 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 1.04/1.42 'c_Lambda_OdB_OVar'( Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.42 , 'tc_nat' ), Z ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 1.04/1.42 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 1.04/1.42 ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 1.04/1.42 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 1.04/1.42 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 1.04/1.42 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.04/1.42 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.04/1.42 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.04/1.42 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 1.04/1.42 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 1.04/1.42 , Y ) ],
% 1.04/1.42 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 1.04/1.42 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 1.04/1.42 'tc_nat', 'tc_Lambda_OdB' ), Y ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 1.04/1.42 U ), ~( 'c_Type_Otypings'( X, T, U ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 1.04/1.42 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP(
% 1.04/1.42 'c_COMBC'( 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 1.04/1.42 'tc_nat', 'tc_Lambda_OdB' ) ), Z ), 'tc_Lambda_OdB', 'tc_nat',
% 1.04/1.42 'tc_Lambda_OdB' ), T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 1.04/1.42 [ =( 'c_List_Ofilter'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 1.04/1.42 'c_List_Ofilter'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.04/1.42 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), Y ), T, 'tc_bool',
% 1.04/1.42 'tc_bool' ), X ), Z, T ) ) ],
% 1.04/1.42 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ), X ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.04/1.42 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ) ) ],
% 1.04/1.42 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 1.04/1.42 'tc_Lambda_OdB' ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 1.04/1.42 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 1.04/1.42 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.04/1.42 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.04/1.42 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.04/1.42 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 1.04/1.42 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 1.04/1.42 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.04/1.42 [ =( 'c_List_Olistsp'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.04/1.42 , 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), X ), 't_a',
% 1.04/1.42 'tc_bool', 'tc_bool' ), Y ), 'v_x', 't_a' ), hAPP( hAPP( 'c_and',
% 1.04/1.42 'c_List_Olistsp'( X, 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y, 'v_x', 't_a'
% 1.04/1.42 ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 1.04/1.42 ) ],
% 1.04/1.42 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.04/1.42 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.04/1.42 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.04/1.42 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.04/1.42 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 1.04/1.42 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 1.04/1.42 'tc_nat', 'tc_Lambda_OdB' ), Z ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.04/1.42 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 1.04/1.42 ~( hBOOL( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.04/1.42 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.04/1.42 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.04/1.42 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.04/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.04/1.42 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 1.04/1.42 , Y ) ],
% 1.04/1.42 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.04/1.42 Z ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 1.04/1.42 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 1.04/1.42 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.04/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.04/1.42 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.04/1.42 hAPP( U, W ) ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.04/1.42 U ) ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_COMBS'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.04/1.42 hAPP( U, W ) ) ) ],
% 1.04/1.42 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 1.04/1.42 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.04/1.42 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 1.04/1.42 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X
% 1.04/1.42 , 'tc_nat' ), Y ) ) ) ],
% 1.04/1.42 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 1.04/1.42 Z ) ) ) ],
% 1.04/1.42 [ hBOOL( 'c_List_Olistsp'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.04/1.42 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' )
% 1.04/1.42 , 'c_InductTermi_OIT' ), 'tc_Lambda_OdB', 'tc_bool', 'tc_bool' ), hAPP(
% 1.04/1.42 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_bool',
% 1.04/1.42 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.04/1.42 'tc_nat', 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.04/1.42 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat'
% 1.04/1.42 ), 'c_InductTermi_OIT' ) ), 'c_Lambda_Olift' ) ) ), 'v_rs',
% 1.04/1.42 'tc_Lambda_OdB' ) ) ],
% 1.04/1.42 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'v_ia' ) )
% 1.04/1.42 ],
% 1.04/1.42 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 1.04/1.42 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n' ), 'c_List_Omap'( hAPP(
% 1.04/1.42 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' )
% 1.04/1.42 , 'v_ia' ), 'v_rs', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 1.04/1.42 'tc_Lambda_OdB' ) ) ) ) ],
% 1.04/1.42 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.42 'class_Lattices_Olattice'( Y ) ) ],
% 1.04/1.42 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.42 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.04/1.42 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.42 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.04/1.42 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.04/1.42 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.42 'class_Orderings_Opreorder'( Y ) ) ],
% 1.04/1.42 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.42 'class_Lattices_Olattice'( Y ) ) ],
% 1.04/1.42 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.04/1.42 'class_Orderings_Oorder'( Y ) ) ],
% 1.04/1.42 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.04/1.42 Y ) ) ],
% 1.04/1.42 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.04/1.42 ],
% 1.04/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.04/1.42 ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.04/1.42 ],
% 1.04/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.04/1.42 ,
% 1.04/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.04/1.42 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.04/1.42 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.04/1.42 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.04/1.42 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.04/1.42 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.04/1.42 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.04/1.43 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.04/1.43 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.04/1.43 [ =( hAPP( hAPP( 'c_COMBS'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.04/1.43 hAPP( U, W ) ) ) ],
% 1.04/1.43 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.04/1.43 U ) ) ],
% 1.04/1.43 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.04/1.43 hAPP( U, W ) ) ) ],
% 1.04/1.43 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.04/1.43 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.04/1.43 ] .
% 1.04/1.43
% 1.04/1.43
% 1.04/1.43 percentage equality = 0.257979, percentage horn = 0.902477
% 1.04/1.43 This is a problem with some equality
% 1.04/1.43
% 1.04/1.43
% 1.04/1.43
% 1.04/1.43 Options Used:
% 1.04/1.43
% 1.04/1.43 useres = 1
% 1.04/1.43 useparamod = 1
% 1.04/1.43 useeqrefl = 1
% 1.04/1.43 useeqfact = 1
% 1.04/1.43 usefactor = 1
% 1.04/1.43 usesimpsplitting = 0
% 1.04/1.43 usesimpdemod = 5
% 1.04/1.43 usesimpres = 3
% 1.04/1.43
% 1.04/1.43 resimpinuse = 1000
% 1.04/1.43 resimpclauses = 20000
% 1.04/1.43 substype = eqrewr
% 1.04/1.43 backwardsubs = 1
% 1.04/1.43 selectoldest = 5
% 1.04/1.43
% 1.04/1.43 litorderings [0] = split
% 1.04/1.43 litorderings [1] = extend the termordering, first sorting on arguments
% 1.04/1.43
% 1.04/1.43 termordering = kbo
% 1.04/1.43
% 1.04/1.43 litapriori = 0
% 1.04/1.43 termapriori = 1
% 1.04/1.43 litaposteriori = 0
% 1.04/1.43 termaposteriori = 0
% 1.04/1.43 demodaposteriori = 0
% 1.04/1.43 ordereqreflfact = 0
% 1.04/1.43
% 1.04/1.43 litselect = negord
% 1.04/1.43
% 1.04/1.43 maxweight = 15
% 1.04/1.43 maxdepth = 30000
% 1.04/1.43 maxlength = 115
% 1.04/1.43 maxnrvars = 195
% 1.04/1.43 excuselevel = 1
% 1.04/1.43 increasemaxweight = 1
% 1.04/1.43
% 1.04/1.43 maxselected = 10000000
% 1.04/1.43 maxnrclauses = 10000000
% 1.04/1.43
% 1.04/1.43 showgenerated = 0
% 1.04/1.43 showkept = 0
% 1.04/1.43 showselected = 0
% 1.04/1.43 showdeleted = 0
% 1.04/1.43 showresimp = 1
% 1.04/1.43 showstatus = 2000
% 1.04/1.43
% 1.04/1.43 prologoutput = 1
% 1.04/1.43 nrgoals = 5000000
% 1.04/1.43 totalproof = 1
% 1.04/1.43
% 1.04/1.43 Symbols occurring in the translation:
% 1.04/1.43
% 1.04/1.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.04/1.43 . [1, 2] (w:1, o:185, a:1, s:1, b:0),
% 1.04/1.43 ! [4, 1] (w:0, o:104, a:1, s:1, b:0),
% 1.04/1.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.43 'class_OrderedGroup_Opordered__comm__monoid__add' [40, 1] (w:1, o:110
% 1.04/1.43 , a:1, s:1, b:0),
% 1.04/1.43 'c_lessequals' [41, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.04/1.43 hAPP [43, 2] (w:1, o:210, a:1, s:1, b:0),
% 1.04/1.43 hBOOL [44, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.04/1.43 'c_HOL_Oplus__class_Oplus' [45, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.04/1.43 'class_Ring__and__Field_Ocomm__semiring__1' [46, 1] (w:1, o:116, a:1
% 1.04/1.43 , s:1, b:0),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes' [47, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.04/1.43 'c_Hilbert__Choice_OEps' [51, 2] (w:1, o:211, a:1, s:1, b:0),
% 1.04/1.43 'class_OrderedGroup_Oab__group__add' [55, 1] (w:1, o:118, a:1, s:1
% 1.04/1.43 , b:0),
% 1.04/1.43 'tc_nat' [56, 0] (w:1, o:27, a:1, s:1, b:0),
% 1.04/1.43 'class_OrderedGroup_Ocomm__monoid__add' [60, 1] (w:1, o:119, a:1, s:1
% 1.04/1.43 , b:0),
% 1.04/1.43 'class_OrderedGroup_Oab__semigroup__add' [62, 1] (w:1, o:120, a:1, s:
% 1.04/1.43 1, b:0),
% 1.04/1.43 'c_HOL_Oord__class_Oless' [64, 2] (w:1, o:212, a:1, s:1, b:0),
% 1.04/1.43 'class_OrderedGroup_Olordered__ab__group__add__meet' [68, 1] (w:1, o:
% 1.04/1.43 121, a:1, s:1, b:0),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf' [69, 3] (w:1, o:219, a:1
% 1.04/1.43 , s:1, b:0),
% 1.04/1.43 'class_OrderedGroup_Olordered__ab__group__add' [70, 1] (w:1, o:122
% 1.04/1.43 , a:1, s:1, b:0),
% 1.04/1.43 'c_Suc' [71, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.04/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [72, 1]
% 1.04/1.43 (w:1, o:124, a:1, s:1, b:0),
% 1.04/1.43 'class_Ring__and__Field_Osemiring__1' [73, 1] (w:1, o:128, a:1, s:1
% 1.04/1.43 , b:0),
% 1.04/1.43 'c_HOL_Oone__class_Oone' [74, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.04/1.43 'c_Nat_Osemiring__1__class_Oof__nat' [75, 2] (w:1, o:213, a:1, s:1
% 1.04/1.43 , b:0),
% 1.04/1.43 'c_HOL_Ominus__class_Ominus' [76, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.04/1.43 'class_Ring__and__Field_Ozero__neq__one' [80, 1] (w:1, o:130, a:1, s:
% 1.04/1.43 1, b:0),
% 1.04/1.43 'c_fequal' [83, 1] (w:1, o:131, a:1, s:1, b:0),
% 1.04/1.43 'c_List_Olist__all2' [84, 5] (w:1, o:240, a:1, s:1, b:0),
% 1.04/1.43 'class_Ring__and__Field_Oordered__ring__strict' [85, 1] (w:1, o:136
% 1.04/1.43 , a:1, s:1, b:0),
% 1.04/1.43 'class_Ring__and__Field_Oordered__semiring__strict' [86, 1] (w:1, o:
% 1.04/1.43 137, a:1, s:1, b:0),
% 1.04/1.43 'class_Lattices_Olower__semilattice' [87, 1] (w:1, o:138, a:1, s:1
% 1.06/1.69 , b:0),
% 1.06/1.69 'c_Lambda_Osubst' [89, 0] (w:1, o:58, a:1, s:1, b:0),
% 1.06/1.69 'tc_Lambda_OdB' [90, 0] (w:1, o:59, a:1, s:1, b:0),
% 1.06/1.69 'tc_fun' [91, 2] (w:1, o:214, a:1, s:1, b:0),
% 1.06/1.69 'c_COMBC' [92, 4] (w:1, o:231, a:1, s:1, b:0),
% 1.06/1.69 'c_List_Omap' [94, 4] (w:1, o:232, a:1, s:1, b:0),
% 1.06/1.69 'c_Type_Otypings' [96, 3] (w:1, o:220, a:1, s:1, b:0),
% 1.06/1.69 'tc_Type_Otype' [98, 0] (w:1, o:62, a:1, s:1, b:0),
% 1.06/1.69 'c_Type_Oshift' [99, 4] (w:1, o:233, a:1, s:1, b:0),
% 1.06/1.69 'c_Type_Otyping' [100, 3] (w:1, o:221, a:1, s:1, b:0),
% 1.06/1.69 'tc_bool' [103, 0] (w:1, o:65, a:1, s:1, b:0),
% 1.06/1.69 'class_Lattices_Olattice' [104, 1] (w:1, o:139, a:1, s:1, b:0),
% 1.06/1.69 'class_OrderedGroup_Omonoid__add' [105, 1] (w:1, o:140, a:1, s:1, b:0
% 1.06/1.69 ),
% 1.06/1.69 'c_List_Olist_ONil' [106, 1] (w:1, o:141, a:1, s:1, b:0),
% 1.06/1.69 'c_List_Olistsum' [107, 2] (w:1, o:215, a:1, s:1, b:0),
% 1.06/1.69 'class_Ring__and__Field_Osemiring' [108, 1] (w:1, o:142, a:1, s:1, b:
% 1.06/1.69 0),
% 1.06/1.69 'c_Lambda_Olift' [109, 0] (w:1, o:66, a:1, s:1, b:0),
% 1.06/1.69 'c_List_Oappend' [112, 3] (w:1, o:222, a:1, s:1, b:0),
% 1.06/1.69 'class_Ring__and__Field_Oidom' [114, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.06/1.69
% 1.06/1.69 'class_Int_Onumber__ring' [115, 1] (w:1, o:145, a:1, s:1, b:0),
% 1.06/1.69 'class_OrderedGroup_Ogroup__add' [116, 1] (w:1, o:146, a:1, s:1, b:0)
% 1.06/1.69 ,
% 1.06/1.69 'c_List_Ofilter' [117, 3] (w:1, o:223, a:1, s:1, b:0),
% 1.06/1.69 'c_List_Ofoldl' [118, 5] (w:1, o:241, a:1, s:1, b:0),
% 1.06/1.69 'class_OrderedGroup_Opordered__ab__semigroup__add' [119, 1] (w:1, o:
% 1.06/1.69 147, a:1, s:1, b:0),
% 1.06/1.69 'c_Lambda_Osubstn' [121, 3] (w:1, o:224, a:1, s:1, b:0),
% 1.06/1.69 'c_Lambda_Oliftn' [122, 3] (w:1, o:225, a:1, s:1, b:0),
% 1.06/1.69 'c_ListOrder_Ostep1' [124, 4] (w:1, o:234, a:1, s:1, b:0),
% 1.06/1.69 'c_Lambda_OdB_OAbs' [131, 1] (w:1, o:148, a:1, s:1, b:0),
% 1.06/1.69 'c_Lambda_OdB_OdB__case' [132, 5] (w:1, o:242, a:1, s:1, b:0),
% 1.06/1.69 'c_Lambda_Obeta' [133, 0] (w:1, o:75, a:1, s:1, b:0),
% 1.06/1.69 'class_Ring__and__Field_Oordered__semidom' [134, 1] (w:1, o:149, a:1
% 1.06/1.69 , s:1, b:0),
% 1.06/1.69 'class_OrderedGroup_Omonoid__mult' [135, 1] (w:1, o:150, a:1, s:1, b:
% 1.06/1.69 0),
% 1.06/1.69 'class_OrderedGroup_Ocomm__monoid__mult' [136, 1] (w:1, o:151, a:1
% 1.06/1.69 , s:1, b:0),
% 1.06/1.69 'class_Orderings_Obot' [137, 1] (w:1, o:152, a:1, s:1, b:0),
% 1.06/1.69 't_a' [138, 0] (w:1, o:76, a:1, s:1, b:0),
% 1.06/1.69 'c_Orderings_Obot__class_Obot' [139, 1] (w:1, o:153, a:1, s:1, b:0),
% 1.06/1.69
% 1.06/1.69 'v_x' [140, 0] (w:1, o:77, a:1, s:1, b:0),
% 1.06/1.69 'class_Ring__and__Field_Oring' [142, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.06/1.69
% 1.06/1.69 'c_InductTermi_OIT' [144, 0] (w:1, o:80, a:1, s:1, b:0),
% 1.06/1.69 'v_sko__InductTermi__XIT__Xcases__5' [145, 1] (w:1, o:154, a:1, s:1
% 1.06/1.69 , b:0),
% 1.06/1.69 'v_sko__InductTermi__XIT__Xcases__3' [146, 1] (w:1, o:156, a:1, s:1
% 1.06/1.69 , b:0),
% 1.06/1.69 'v_sko__InductTermi__XIT__Xcases__1' [147, 1] (w:1, o:157, a:1, s:1
% 1.06/1.69 , b:0),
% 1.06/1.69 'c_List_Olistsp' [148, 3] (w:1, o:226, a:1, s:1, b:0),
% 1.06/1.69 'c_Collect' [149, 2] (w:1, o:216, a:1, s:1, b:0),
% 1.06/1.69 'class_Ring__and__Field_Opordered__ring' [150, 1] (w:1, o:161, a:1
% 1.06/1.69 , s:1, b:0),
% 1.06/1.69 'class_Lattices_Obounded__lattice' [151, 1] (w:1, o:162, a:1, s:1, b:
% 1.06/1.69 0),
% 1.06/1.69 'c_The' [152, 2] (w:1, o:217, a:1, s:1, b:0),
% 1.06/1.69 'c_Finite__Set_Ofinite' [153, 2] (w:1, o:218, a:1, s:1, b:0),
% 1.06/1.69 'class_Nat_Osemiring__char__0' [154, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.06/1.69
% 1.06/1.69 'class_Ring__and__Field_Oordered__semiring' [155, 1] (w:1, o:158, a:1
% 1.06/1.69 , s:1, b:0),
% 1.06/1.69 'class_Ring__and__Field_Opordered__cancel__semiring' [157, 1] (w:1
% 1.06/1.69 , o:163, a:1, s:1, b:0),
% 1.06/1.69 'class_OrderedGroup_Ocancel__ab__semigroup__add' [158, 1] (w:1, o:164
% 1.06/1.69 , a:1, s:1, b:0),
% 1.06/1.69 'class_OrderedGroup_Ocancel__semigroup__add' [159, 1] (w:1, o:165, a:
% 1.06/1.69 1, s:1, b:0),
% 1.06/1.69 'class_Ring__and__Field_Oordered__idom' [160, 1] (w:1, o:159, a:1, s:
% 1.06/1.69 1, b:0),
% 1.06/1.69 'class_Finite__Set_Ofinite_Ofinite' [162, 1] (w:1, o:166, a:1, s:1
% 1.06/1.69 , b:0),
% 1.06/1.69 'c_Lambda_OdB_OVar' [163, 1] (w:1, o:167, a:1, s:1, b:0),
% 1.06/1.69 'class_Ring__and__Field_Oordered__comm__semiring__strict' [164, 1]
% 1.06/1.69 (w:1, o:160, a:1, s:1, b:0),
% 1.06/1.69 'class_Ring__and__Field_Opordered__semiring' [166, 1] (w:1, o:168, a:
% 9.28/9.63 1, s:1, b:0),
% 9.28/9.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [167, 1]
% 9.28/9.63 (w:1, o:169, a:1, s:1, b:0),
% 9.28/9.63 'c_Lambda_OdB_OApp' [170, 0] (w:1, o:85, a:1, s:1, b:0),
% 9.28/9.63 'v_sko__InductTermi__XIT__Xcases__2' [171, 1] (w:1, o:155, a:1, s:1
% 9.28/9.63 , b:0),
% 9.28/9.63 'class_Orderings_Olinorder' [172, 1] (w:1, o:170, a:1, s:1, b:0),
% 9.28/9.63 'class_Orderings_Oorder' [173, 1] (w:1, o:171, a:1, s:1, b:0),
% 9.28/9.63 'class_Ring__and__Field_Oring__no__zero__divisors' [175, 1] (w:1, o:
% 9.28/9.63 126, a:1, s:1, b:0),
% 9.28/9.63 'class_Ring__and__Field_Ono__zero__divisors' [176, 1] (w:1, o:135, a:
% 9.28/9.63 1, s:1, b:0),
% 9.28/9.63 'class_Ring__and__Field_Omult__zero' [184, 1] (w:1, o:132, a:1, s:1
% 9.28/9.63 , b:0),
% 9.28/9.63 'class_OrderedGroup_Opordered__ab__group__add' [185, 1] (w:1, o:172
% 9.28/9.63 , a:1, s:1, b:0),
% 9.28/9.63 'class_OrderedGroup_Oab__semigroup__idem__mult' [186, 1] (w:1, o:173
% 9.28/9.63 , a:1, s:1, b:0),
% 9.28/9.63 'class_Orderings_Opreorder' [187, 1] (w:1, o:174, a:1, s:1, b:0),
% 9.28/9.63 'class_Ring__and__Field_Osemiring__0' [188, 1] (w:1, o:127, a:1, s:1
% 9.28/9.63 , b:0),
% 9.28/9.63 'c_COMBB' [189, 3] (w:1, o:227, a:1, s:1, b:0),
% 9.28/9.63 'c_Lambda_OdB_OdB__rec' [195, 5] (w:1, o:243, a:1, s:1, b:0),
% 9.28/9.63 'c_or' [196, 0] (w:1, o:89, a:1, s:1, b:0),
% 9.28/9.63 'c_COMBS' [197, 4] (w:1, o:235, a:1, s:1, b:0),
% 9.28/9.63 'c_and' [199, 0] (w:1, o:91, a:1, s:1, b:0),
% 9.28/9.63 'class_OrderedGroup_Osemigroup__add' [202, 1] (w:1, o:175, a:1, s:1
% 9.28/9.63 , b:0),
% 9.28/9.63 'class_Ring__and__Field_Omult__mono' [203, 1] (w:1, o:133, a:1, s:1
% 9.28/9.63 , b:0),
% 9.28/9.63 'class_Ring__and__Field_Omult__mono1' [204, 1] (w:1, o:134, a:1, s:1
% 9.28/9.63 , b:0),
% 9.28/9.63 'class_OrderedGroup_Oab__semigroup__mult' [207, 1] (w:1, o:176, a:1
% 9.28/9.63 , s:1, b:0),
% 9.28/9.63 'class_Ring__and__Field_Ocomm__semiring' [209, 1] (w:1, o:177, a:1
% 9.28/9.63 , s:1, b:0),
% 9.28/9.63 'class_HOL_Oord' [210, 1] (w:1, o:144, a:1, s:1, b:0),
% 9.28/9.63 'c_Hilbert__Choice_OGreatestM' [211, 4] (w:1, o:236, a:1, s:1, b:0),
% 9.28/9.63
% 9.28/9.63 'c_All' [212, 1] (w:1, o:178, a:1, s:1, b:0),
% 9.28/9.63 'c_implies' [213, 0] (w:1, o:93, a:1, s:1, b:0),
% 9.28/9.63 'c_ListApplication_Osko__ListApplication__Xlem__1__3' [214, 1] (w:1
% 9.28/9.63 , o:180, a:1, s:1, b:0),
% 9.28/9.63 'c_ListApplication_Osko__ListApplication__Xlem__1__1' [215, 1] (w:1
% 9.28/9.63 , o:181, a:1, s:1, b:0),
% 9.28/9.63 'c_ListApplication_Osko__ListApplication__Xlem__1__2' [216, 1] (w:1
% 9.28/9.63 , o:179, a:1, s:1, b:0),
% 9.28/9.63 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [217, 4] (w:1, o:237, a:
% 9.28/9.63 1, s:1, b:0),
% 9.28/9.63 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3' [218, 1
% 9.28/9.63 ] (w:1, o:183, a:1, s:1, b:0),
% 9.28/9.63 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1' [219, 1
% 9.28/9.63 ] (w:1, o:184, a:1, s:1, b:0),
% 9.28/9.63 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2' [220, 1
% 9.28/9.63 ] (w:1, o:182, a:1, s:1, b:0),
% 9.28/9.63 'c_Type_Osko__Type__Xvar__app__types__1__1' [221, 4] (w:1, o:238, a:1
% 9.28/9.63 , s:1, b:0),
% 9.28/9.63 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [222, 3] (w:
% 9.28/9.63 1, o:228, a:1, s:1, b:0),
% 9.28/9.63 'v_P' [224, 0] (w:1, o:94, a:1, s:1, b:0),
% 9.28/9.63 'c_Orderings_Oord_OLeast' [225, 3] (w:1, o:229, a:1, s:1, b:0),
% 9.28/9.63 'v_n' [226, 0] (w:1, o:95, a:1, s:1, b:0),
% 9.28/9.63 'c_List_Osko__List__Xin__listsp__conv__set__1__1' [229, 3] (w:1, o:
% 9.28/9.63 230, a:1, s:1, b:0),
% 9.28/9.63 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [234, 4] (w:1, o:239
% 9.28/9.63 , a:1, s:1, b:0),
% 9.28/9.63 'v_rs' [238, 0] (w:1, o:98, a:1, s:1, b:0),
% 9.28/9.63 'v_ia' [239, 0] (w:1, o:99, a:1, s:1, b:0).
% 9.28/9.63
% 9.28/9.63
% 9.28/9.63 Starting Search:
% 9.28/9.63
% 9.28/9.63 Resimplifying inuse:
% 9.28/9.63 Done
% 9.28/9.63
% 9.28/9.63
% 9.28/9.63 Intermediate Status:
% 9.28/9.63 Generated: 4851
% 9.28/9.63 Kept: 2213
% 9.28/9.63 Inuse: 145
% 9.28/9.63 Deleted: 6
% 9.28/9.63 Deletedinuse: 0
% 9.28/9.63
% 9.28/9.63 Resimplifying inuse:
% 9.28/9.63 Done
% 9.28/9.63
% 9.28/9.63 Resimplifying inuse:
% 9.28/9.63 Done
% 9.28/9.63
% 9.28/9.63
% 9.28/9.63 Intermediate Status:
% 9.28/9.63 Generated: 10602
% 9.28/9.63 Kept: 4228
% 9.28/9.63 Inuse: 220
% 9.28/9.63 Deleted: 7
% 9.28/9.63 Deletedinuse: 0
% 9.28/9.63
% 9.28/9.63 Resimplifying inuse:
% 9.28/9.63 Done
% 9.28/9.63
% 9.28/9.63 Resimplifying inuse:
% 9.28/9.63 Done
% 9.28/9.63
% 9.28/9.63
% 9.28/9.63 Intermediate Status:
% 9.28/9.63 Generated: 17062
% 9.28/9.63 Kept: 6675
% 9.28/9.63 Inuse: 263
% 9.28/9.63 Deleted: 8
% 9.28/9.63 Deletedinuse: 0
% 9.28/9.63
% 9.28/9.63 Resimplifying inuse:
% 9.28/9.63 Done
% 9.28/9.63
% 9.28/9.63 Resimplifying inuse:
% 9.28/9.63 Done
% 9.28/9.63
% 9.28/9.63
% 9.28/9.63 Intermediate Status:
% 9.28/9.63 Generated: 24329
% 9.28/9.63 Kept: 9192
% 9.28/9.63 Inuse: 273
% 9.28/9.63 Deleted: 8
% 38.43/38.83 Deletedinuse: 0
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 30699
% 38.43/38.83 Kept: 11327
% 38.43/38.83 Inuse: 321
% 38.43/38.83 Deleted: 10
% 38.43/38.83 Deletedinuse: 0
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 37032
% 38.43/38.83 Kept: 13342
% 38.43/38.83 Inuse: 377
% 38.43/38.83 Deleted: 11
% 38.43/38.83 Deletedinuse: 0
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 42063
% 38.43/38.83 Kept: 15373
% 38.43/38.83 Inuse: 423
% 38.43/38.83 Deleted: 12
% 38.43/38.83 Deletedinuse: 0
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 53645
% 38.43/38.83 Kept: 17888
% 38.43/38.83 Inuse: 449
% 38.43/38.83 Deleted: 12
% 38.43/38.83 Deletedinuse: 0
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 61811
% 38.43/38.83 Kept: 20103
% 38.43/38.83 Inuse: 474
% 38.43/38.83 Deleted: 12
% 38.43/38.83 Deletedinuse: 0
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying clauses:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 69214
% 38.43/38.83 Kept: 22238
% 38.43/38.83 Inuse: 512
% 38.43/38.83 Deleted: 141
% 38.43/38.83 Deletedinuse: 5
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 75206
% 38.43/38.83 Kept: 24253
% 38.43/38.83 Inuse: 539
% 38.43/38.83 Deleted: 141
% 38.43/38.83 Deletedinuse: 5
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 89088
% 38.43/38.83 Kept: 27192
% 38.43/38.83 Inuse: 587
% 38.43/38.83 Deleted: 141
% 38.43/38.83 Deletedinuse: 5
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 95155
% 38.43/38.83 Kept: 29434
% 38.43/38.83 Inuse: 607
% 38.43/38.83 Deleted: 141
% 38.43/38.83 Deletedinuse: 5
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 104276
% 38.43/38.83 Kept: 31751
% 38.43/38.83 Inuse: 652
% 38.43/38.83 Deleted: 141
% 38.43/38.83 Deletedinuse: 5
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 113154
% 38.43/38.83 Kept: 34108
% 38.43/38.83 Inuse: 662
% 38.43/38.83 Deleted: 141
% 38.43/38.83 Deletedinuse: 5
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 119871
% 38.43/38.83 Kept: 36386
% 38.43/38.83 Inuse: 667
% 38.43/38.83 Deleted: 141
% 38.43/38.83 Deletedinuse: 5
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 128888
% 38.43/38.83 Kept: 38398
% 38.43/38.83 Inuse: 680
% 38.43/38.83 Deleted: 148
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying clauses:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 137408
% 38.43/38.83 Kept: 40446
% 38.43/38.83 Inuse: 706
% 38.43/38.83 Deleted: 561
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 155792
% 38.43/38.83 Kept: 43273
% 38.43/38.83 Inuse: 721
% 38.43/38.83 Deleted: 561
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 173365
% 38.43/38.83 Kept: 45754
% 38.43/38.83 Inuse: 731
% 38.43/38.83 Deleted: 561
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 191429
% 38.43/38.83 Kept: 48296
% 38.43/38.83 Inuse: 741
% 38.43/38.83 Deleted: 561
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 203859
% 38.43/38.83 Kept: 50515
% 38.43/38.83 Inuse: 776
% 38.43/38.83 Deleted: 561
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 211756
% 38.43/38.83 Kept: 52531
% 38.43/38.83 Inuse: 788
% 38.43/38.83 Deleted: 561
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 223146
% 38.43/38.83 Kept: 54911
% 38.43/38.83 Inuse: 806
% 38.43/38.83 Deleted: 561
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 231369
% 38.43/38.83 Kept: 56921
% 38.43/38.83 Inuse: 816
% 38.43/38.83 Deleted: 561
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 243489
% 38.43/38.83 Kept: 59202
% 38.43/38.83 Inuse: 836
% 38.43/38.83 Deleted: 561
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying clauses:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 252203
% 38.43/38.83 Kept: 61293
% 38.43/38.83 Inuse: 856
% 38.43/38.83 Deleted: 667
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 38.43/38.83
% 38.43/38.83
% 38.43/38.83 Intermediate Status:
% 38.43/38.83 Generated: 266734
% 38.43/38.83 Kept: 63772
% 38.43/38.83 Inuse: 881
% 38.43/38.83 Deleted: 667
% 38.43/38.83 Deletedinuse: 6
% 38.43/38.83
% 38.43/38.83 Resimplifying inuse:
% 38.43/38.83 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 279258
% 97.68/98.10 Kept: 65957
% 97.68/98.10 Inuse: 906
% 97.68/98.10 Deleted: 667
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 292009
% 97.68/98.10 Kept: 67964
% 97.68/98.10 Inuse: 954
% 97.68/98.10 Deleted: 667
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 301464
% 97.68/98.10 Kept: 70270
% 97.68/98.10 Inuse: 976
% 97.68/98.10 Deleted: 667
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 310119
% 97.68/98.10 Kept: 72285
% 97.68/98.10 Inuse: 998
% 97.68/98.10 Deleted: 667
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 319161
% 97.68/98.10 Kept: 74288
% 97.68/98.10 Inuse: 1027
% 97.68/98.10 Deleted: 667
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 336304
% 97.68/98.10 Kept: 78488
% 97.68/98.10 Inuse: 1041
% 97.68/98.10 Deleted: 667
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 350034
% 97.68/98.10 Kept: 81853
% 97.68/98.10 Inuse: 1046
% 97.68/98.10 Deleted: 667
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying clauses:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 357563
% 97.68/98.10 Kept: 83856
% 97.68/98.10 Inuse: 1060
% 97.68/98.10 Deleted: 914
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 382183
% 97.68/98.10 Kept: 89300
% 97.68/98.10 Inuse: 1071
% 97.68/98.10 Deleted: 914
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 402552
% 97.68/98.10 Kept: 92917
% 97.68/98.10 Inuse: 1076
% 97.68/98.10 Deleted: 914
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 411381
% 97.68/98.10 Kept: 94988
% 97.68/98.10 Inuse: 1096
% 97.68/98.10 Deleted: 914
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 443491
% 97.68/98.10 Kept: 97236
% 97.68/98.10 Inuse: 1111
% 97.68/98.10 Deleted: 914
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 454458
% 97.68/98.10 Kept: 99255
% 97.68/98.10 Inuse: 1137
% 97.68/98.10 Deleted: 914
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 469709
% 97.68/98.10 Kept: 102470
% 97.68/98.10 Inuse: 1166
% 97.68/98.10 Deleted: 914
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying clauses:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 482327
% 97.68/98.10 Kept: 106693
% 97.68/98.10 Inuse: 1171
% 97.68/98.10 Deleted: 1020
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 531532
% 97.68/98.10 Kept: 112771
% 97.68/98.10 Inuse: 1181
% 97.68/98.10 Deleted: 1020
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 539624
% 97.68/98.10 Kept: 114923
% 97.68/98.10 Inuse: 1206
% 97.68/98.10 Deleted: 1020
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 550697
% 97.68/98.10 Kept: 117467
% 97.68/98.10 Inuse: 1236
% 97.68/98.10 Deleted: 1020
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 560032
% 97.68/98.10 Kept: 119856
% 97.68/98.10 Inuse: 1241
% 97.68/98.10 Deleted: 1020
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 571205
% 97.68/98.10 Kept: 121861
% 97.68/98.10 Inuse: 1267
% 97.68/98.10 Deleted: 1020
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 590365
% 97.68/98.10 Kept: 124216
% 97.68/98.10 Inuse: 1276
% 97.68/98.10 Deleted: 1020
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying clauses:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 607711
% 97.68/98.10 Kept: 126290
% 97.68/98.10 Inuse: 1281
% 97.68/98.10 Deleted: 1319
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 614464
% 97.68/98.10 Kept: 128294
% 97.68/98.10 Inuse: 1298
% 97.68/98.10 Deleted: 1319
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 620789
% 97.68/98.10 Kept: 130355
% 97.68/98.10 Inuse: 1311
% 97.68/98.10 Deleted: 1319
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 97.68/98.10 Done
% 97.68/98.10
% 97.68/98.10
% 97.68/98.10 Intermediate Status:
% 97.68/98.10 Generated: 627695
% 97.68/98.10 Kept: 132396
% 97.68/98.10 Inuse: 1326
% 97.68/98.10 Deleted: 1319
% 97.68/98.10 Deletedinuse: 6
% 97.68/98.10
% 97.68/98.10 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 636055
% 232.44/232.79 Kept: 134417
% 232.44/232.79 Inuse: 1344
% 232.44/232.79 Deleted: 1319
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 649502
% 232.44/232.79 Kept: 138621
% 232.44/232.79 Inuse: 1361
% 232.44/232.79 Deleted: 1319
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 658078
% 232.44/232.79 Kept: 141517
% 232.44/232.79 Inuse: 1366
% 232.44/232.79 Deleted: 1319
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 670048
% 232.44/232.79 Kept: 144237
% 232.44/232.79 Inuse: 1386
% 232.44/232.79 Deleted: 1319
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying clauses:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 682361
% 232.44/232.79 Kept: 146768
% 232.44/232.79 Inuse: 1406
% 232.44/232.79 Deleted: 1613
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 690389
% 232.44/232.79 Kept: 148832
% 232.44/232.79 Inuse: 1421
% 232.44/232.79 Deleted: 1613
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 698572
% 232.44/232.79 Kept: 150845
% 232.44/232.79 Inuse: 1437
% 232.44/232.79 Deleted: 1613
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 707925
% 232.44/232.79 Kept: 153415
% 232.44/232.79 Inuse: 1456
% 232.44/232.79 Deleted: 1613
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 717468
% 232.44/232.79 Kept: 155748
% 232.44/232.79 Inuse: 1476
% 232.44/232.79 Deleted: 1613
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 726299
% 232.44/232.79 Kept: 158126
% 232.44/232.79 Inuse: 1491
% 232.44/232.79 Deleted: 1613
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 735907
% 232.44/232.79 Kept: 160697
% 232.44/232.79 Inuse: 1511
% 232.44/232.79 Deleted: 1613
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79
% 232.44/232.79 Intermediate Status:
% 232.44/232.79 Generated: 759470
% 232.44/232.79 Kept: 166955
% 232.44/232.79 Inuse: 1521
% 232.44/232.79 Deleted: 1613
% 232.44/232.79 Deletedinuse: 6
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying clauses:
% 232.44/232.79 Done
% 232.44/232.79
% 232.44/232.79 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 771710
% 232.44/232.80 Kept: 169456
% 232.44/232.80 Inuse: 1541
% 232.44/232.80 Deleted: 2129
% 232.44/232.80 Deletedinuse: 7
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 791886
% 232.44/232.80 Kept: 174312
% 232.44/232.80 Inuse: 1566
% 232.44/232.80 Deleted: 2130
% 232.44/232.80 Deletedinuse: 8
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 822071
% 232.44/232.80 Kept: 181522
% 232.44/232.80 Inuse: 1586
% 232.44/232.80 Deleted: 2130
% 232.44/232.80 Deletedinuse: 8
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 833531
% 232.44/232.80 Kept: 183991
% 232.44/232.80 Inuse: 1606
% 232.44/232.80 Deleted: 2130
% 232.44/232.80 Deletedinuse: 8
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 845468
% 232.44/232.80 Kept: 186910
% 232.44/232.80 Inuse: 1611
% 232.44/232.80 Deleted: 2132
% 232.44/232.80 Deletedinuse: 10
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80 Resimplifying clauses:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 856234
% 232.44/232.80 Kept: 189007
% 232.44/232.80 Inuse: 1631
% 232.44/232.80 Deleted: 2787
% 232.44/232.80 Deletedinuse: 10
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 867376
% 232.44/232.80 Kept: 191320
% 232.44/232.80 Inuse: 1656
% 232.44/232.80 Deleted: 2787
% 232.44/232.80 Deletedinuse: 10
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 887330
% 232.44/232.80 Kept: 193374
% 232.44/232.80 Inuse: 1691
% 232.44/232.80 Deleted: 2787
% 232.44/232.80 Deletedinuse: 10
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 898029
% 232.44/232.80 Kept: 196142
% 232.44/232.80 Inuse: 1696
% 232.44/232.80 Deleted: 2788
% 232.44/232.80 Deletedinuse: 11
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 915157
% 232.44/232.80 Kept: 199803
% 232.44/232.80 Inuse: 1711
% 232.44/232.80 Deleted: 2788
% 232.44/232.80 Deletedinuse: 11
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 928927
% 232.44/232.80 Kept: 201821
% 232.44/232.80 Inuse: 1738
% 232.44/232.80 Deleted: 2788
% 232.44/232.80 Deletedinuse: 11
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:
% 232.44/232.80 Generated: 941452
% 232.44/232.80 Kept: 204559
% 232.44/232.80 Inuse: 1751
% 232.44/232.80 Deleted: 2788
% 232.44/232.80 Deletedinuse: 11
% 232.44/232.80
% 232.44/232.80 Resimplifying inuse:
% 232.44/232.80 Done
% 232.44/232.80
% 232.44/232.80
% 232.44/232.80 Intermediate Status:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------