%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV660-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:33 EDT 2022
% Result : Timeout 300.01s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV660-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 22:31:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.16/1.54 *** allocated 10000 integers for termspace/termends
% 1.16/1.54 *** allocated 10000 integers for clauses
% 1.16/1.54 *** allocated 10000 integers for justifications
% 1.16/1.54 *** allocated 15000 integers for termspace/termends
% 1.16/1.54 *** allocated 22500 integers for termspace/termends
% 1.16/1.54 *** allocated 33750 integers for termspace/termends
% 1.16/1.54 Bliksem 1.12
% 1.16/1.54
% 1.16/1.54
% 1.16/1.54 Automatic Strategy Selection
% 1.16/1.54
% 1.16/1.54 Clauses:
% 1.16/1.54 [
% 1.16/1.54 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.54 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.16/1.54 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 1.16/1.54 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.54 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.54 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.54 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.54 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.54 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.54 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.54 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.54 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.54 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.54 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.16/1.54 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.54 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.16/1.54 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.16/1.54 , X ) ) ],
% 1.16/1.54 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.54 , Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.54 , Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.54 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.54 X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.54 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.54 T, X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.54 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.54 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.16/1.54 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.16/1.54 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.16/1.54 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.16/1.54 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.54 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.54 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.54 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.54 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.16/1.54 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.54 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.54 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.54 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.16/1.54 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.54 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.54 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.16/1.54 , X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.54 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.16/1.54 , X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.16/1.54 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.16/1.54 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.16/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.54 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.16/1.54 ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.54 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.16/1.54 ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.16/1.54 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.16/1.54 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.16/1.54 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.16/1.54 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.54 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.16/1.54 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.54 Y ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.54 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.54 ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.54 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.54 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.54 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.16/1.54 'c_lessequals'( Z, Y, X ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.54 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.54 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.54 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.54 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.54 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.54 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.16/1.54 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.54 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.54 , 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.54 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.54 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.54 , 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.54 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.54 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.16/1.54 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.16/1.54 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.54 , 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.16/1.54 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.54 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.54 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.54 ), Y ) ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.16/1.54 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.54 , Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.54 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.54 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.54 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.16/1.54 , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.54 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.54 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.54 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.54 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.16/1.54 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.16/1.54 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.54 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.16/1.54 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.54 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.54 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.54 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.16/1.54 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.54 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.54 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.16/1.54 ) ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.16/1.54 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.54 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.16/1.54 ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.16/1.54 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.54 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.16/1.54 ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.16/1.54 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.54 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.16/1.54 ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.16/1.54 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.54 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.16/1.54 ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.54 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.54 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.16/1.54 ,
% 1.16/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.16/1.54 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.16/1.54 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.54 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.54 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.54 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.54 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.16/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.54 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.54 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.16/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.54 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.54 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.54 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.16/1.54 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.16/1.54 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.16/1.54 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.16/1.54 , V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.16/1.54 T, X, U, W, Y, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.16/1.54 T, X, U, Y, W, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.16/1.54 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.16/1.54 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.16/1.54 , V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.16/1.54 X, T, U, Y, W, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.16/1.54 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.16/1.54 , V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.16/1.54 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.16/1.54 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.16/1.54 , V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.16/1.54 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.16/1.54 W, V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.54 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.16/1.54 W, V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.16/1.54 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.16/1.54 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.16/1.54 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.16/1.54 W, V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.16/1.54 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.16/1.54 , V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.54 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.16/1.54 W, V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.16/1.54 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.16/1.54 , V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.16/1.54 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.16/1.54 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.16/1.54 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.16/1.54 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.16/1.54 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.16/1.54 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.16/1.54 T, X, U, W, Z, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.16/1.54 T, X, U, W, Y, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.16/1.54 T, X, U, Z, W, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.16/1.54 T, X, U, Y, W, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.54 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.54 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.16/1.54 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.16/1.54 X, T, U, Z, W, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.16/1.54 X, T, U, Y, W, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.16/1.54 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.54 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.16/1.54 , V0, U, V1 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.16/1.54 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.16/1.54 , V0, U, V1 ) ) ],
% 1.16/1.54 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.16/1.54 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.16/1.54 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.54 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.54 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.16/1.54 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.54 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.54 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.16/1.54 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.55 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.55 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.16/1.55 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.55 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.55 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.55 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.16/1.55 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.16/1.55 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.55 , X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.16/1.55 , X ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.16/1.55 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.16/1.55 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.55 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.55 ), Y ) ), Z ) ), Z ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.55 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.16/1.55 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.16/1.55 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.55 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.16/1.55 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.55 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.55 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.16/1.55 'c_lessequals'( Z, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.55 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.16/1.55 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.16/1.55 'c_lessequals'( Z, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.16/1.55 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.55 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.16/1.55 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Z ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Z ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.16/1.55 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.16/1.55 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.16/1.55 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.55 , X ) ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.16/1.55 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.55 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.16/1.55 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.16/1.55 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.16/1.55 Y ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.55 ) ), Z ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.55 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.55 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.55 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.16/1.55 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.55 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.55 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.55 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.55 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.55 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.16/1.55 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.55 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.16/1.55 ), =( Z, Y ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.55 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.16/1.55 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.16/1.55 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.16/1.55 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.16/1.55 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.55 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.16/1.55 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.55 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.55 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.55 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.55 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.55 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.55 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.55 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.16/1.55 ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.16/1.55 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Z ), U ) ), W ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.16/1.55 ), W, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Z ), T ) ), W ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), T ), Z ) ), U ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.55 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.55 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.55 X ), Y ), Z ) ), Z ), Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.55 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.16/1.55 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.16/1.55 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.55 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.16/1.55 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.16/1.55 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.16/1.55 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.16/1.55 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.16/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.16/1.55 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.55 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.16/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.55 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.55 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.55 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.55 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.16/1.55 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.16/1.55 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.55 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.16/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), Z ), Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ) ) ],
% 1.16/1.55 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.55 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.16/1.55 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.55 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.55 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.55 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.55 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.55 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.16/1.55 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.16/1.55 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.16/1.55 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.16/1.55 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.55 , Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.55 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.16/1.55 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), T ), Z ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.16/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.16/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.16/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.16/1.55 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.55 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.16/1.55 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.55 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.55 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.16/1.55 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.55 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.16/1.55 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.55 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.16/1.55 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.55 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.55 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.55 'c_Int_OPls', X ) ), Y ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.55 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.16/1.55 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.16/1.55 X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.16/1.55 , T ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.16/1.55 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.16/1.55 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.16/1.55 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.16/1.55 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.16/1.55 ), 'tc_nat' ) ) ],
% 1.16/1.55 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.16/1.55 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.55 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.16/1.55 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.16/1.55 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.55 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.16/1.55 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.55 , Y, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.55 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.16/1.55 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.55 , X, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.55 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.55 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.55 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.55 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.16/1.55 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.55 , X, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.55 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.16/1.55 ), 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.55 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.16/1.55 ), 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.55 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.55 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.55 'tc_nat' ) ), =( Y, Z ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.16/1.55 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.55 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 1.16/1.55 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 1.16/1.55 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.16/1.55 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.16/1.55 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.16/1.55 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), Y ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.16/1.55 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.16/1.55 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.16/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.16/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.55 ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.55 ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.16/1.55 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.55 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.16/1.55 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.55 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.16/1.55 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.16/1.55 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.55 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.16/1.55 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.55 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.55 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ) ) ), =( Y, Z ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ) ) ), =( Y, Z ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.55 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.16/1.55 Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 Y ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.55 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.16/1.55 Y ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.16/1.55 Y ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 Y ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.16/1.55 Y ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.16/1.55 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.16/1.55 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.16/1.55 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.16/1.55 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.55 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.16/1.55 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 T, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.16/1.55 ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.16/1.55 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 T, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.16/1.55 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.16/1.55 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.16/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.16/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.16/1.55 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.16/1.55 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.55 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.55 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.16/1.55 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.55 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.16/1.55 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.16/1.55 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.16/1.55 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.16/1.55 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), Z ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.55 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.55 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.16/1.55 ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.55 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.55 ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.16/1.55 Z, 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.16/1.55 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.55 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.55 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.16/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.16/1.55 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.16/1.55 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.16/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.16/1.55 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.55 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.16/1.55 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.16/1.55 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.16/1.55 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.16/1.55 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.55 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.16/1.55 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 'tc_nat' ) ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 , X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.16/1.55 ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.16/1.55 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.16/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.55 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 , X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.16/1.55 ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.16/1.55 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.16/1.55 , X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.55 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.16/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.16/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.16/1.55 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.16/1.55 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.16/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.16/1.55 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.16/1.55 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.16/1.55 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.16/1.55 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.16/1.55 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.55 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.55 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.55 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.16/1.55 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.16/1.55 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.16/1.55 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.16/1.55 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.16/1.55 , X ) ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.16/1.55 ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.16/1.55 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.55 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.55 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.55 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.55 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.55 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.55 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.55 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.16/1.55 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.55 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.55 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.55 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.55 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.55 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.16/1.55 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.55 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.55 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.16/1.55 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.16/1.55 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.16/1.55 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.16/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.55 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.55 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.16/1.55 ,
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.55 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.16/1.55 , X, Z, U, W, V0 ) ) ],
% 1.16/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.55 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.55 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.16/1.55 'tc_nat' ) ) ],
% 1.16/1.55 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.16/1.55 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.16/1.55 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 1.16/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.55 'tc_nat' ) ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.16/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.16/1.55 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.16/1.55 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), 'c_Finite__Set_Osetsum'(
% 1.16/1.55 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.16/1.55 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.16/1.55 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.16/1.55 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.16/1.55 'tc_nat', X ) ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.16/1.55 , Y ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.55 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.16/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.55 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.55 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.16/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.55 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.16/1.55 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.16/1.55 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.55 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.16/1.55 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.55 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.55 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.16/1.55 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.55 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.16/1.56 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.16/1.56 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.56 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.56 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.16/1.56 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.16/1.56 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.16/1.56 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.16/1.56 ), 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.16/1.56 ), 'tc_nat' ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.16/1.56 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.16/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.56 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.16/1.56 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.56 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.16/1.56 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.16/1.56 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.56 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.56 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.16/1.56 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.56 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.56 'tc_nat' ) ) ],
% 1.16/1.56 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.16/1.56 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.16/1.56 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.16/1.56 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.56 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.56 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.56 Z, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.16/1.56 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.56 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 Y, Z, X ) ) ],
% 1.16/1.56 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.16/1.56 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.16/1.56 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 1.16/1.56 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.16/1.56 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.16/1.56 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.16/1.56 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.56 'tc_nat' ), X ), Y ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.16/1.56 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.16/1.56 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.16/1.56 ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.16/1.56 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.16/1.56 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.16/1.56 V0, V1 ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.16/1.56 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.16/1.56 V0, V1 ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.16/1.56 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.16/1.56 , V0, V1 ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.16/1.56 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.16/1.56 , V0, V1 ) ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 1.16/1.56 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.16/1.56 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.16/1.56 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.16/1.56 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.16/1.56 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.16/1.56 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.56 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.16/1.56 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.56 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.16/1.56 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.16/1.56 , X ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.16/1.56 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.16/1.56 , T ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.16/1.56 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.16/1.56 X ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.16/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.16/1.56 ), Y, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.56 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.16/1.56 Z, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.56 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.56 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.16/1.56 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.16/1.56 , X ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.16/1.56 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.16/1.56 ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.16/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.16/1.56 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.16/1.56 X ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.56 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.16/1.56 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.16/1.56 ), Y ), T ), Z, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.16/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.16/1.56 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 X ), T ), Z ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.16/1.56 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.16/1.56 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.56 T, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.56 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.16/1.56 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.56 , Z, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.16/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.16/1.56 Z, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.56 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.16/1.56 , Z ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.16/1.56 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.16/1.56 ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.16/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.16/1.56 ), Z, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.16/1.56 ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.16/1.56 ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.56 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.16/1.56 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.56 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.16/1.56 ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.56 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.16/1.56 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.56 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.16/1.56 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.16/1.56 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.16/1.56 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.56 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.16/1.56 ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.56 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.16/1.56 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.16/1.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.16/1.56 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.16/1.56 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.56 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.16/1.56 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.16/1.56 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.16/1.56 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.16/1.56 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.56 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.16/1.56 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.16/1.56 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.16/1.56 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.56 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.16/1.56 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.16/1.56 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.16/1.56 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.56 ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.16/1.56 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.56 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.56 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ) ) ],
% 1.16/1.56 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 1.16/1.56 'tc_nat', 'tc_nat' ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.16/1.56 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.16/1.56 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.16/1.56 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.56 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.16/1.56 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.16/1.56 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.16/1.56 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.16/1.56 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.16/1.56 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.16/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.16/1.56 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.16/1.56 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.16/1.56 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.16/1.56 'tc_nat', X ) ) ) ],
% 1.16/1.56 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.16/1.56 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.56 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.16/1.56 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.16/1.56 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.16/1.56 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.16/1.56 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.16/1.56 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.16/1.56 , Z ), 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.16/1.56 'tc_nat', X ) ) ],
% 1.16/1.56 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.16/1.56 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.16/1.56 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.16/1.56 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.16/1.56 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.16/1.56 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.16/1.56 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.16/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.16/1.56 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.16/1.56 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.56 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.16/1.56 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.16/1.56 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.16/1.56 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.16/1.56 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.16/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.16/1.56 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.56 ), Y ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.16/1.56 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.16/1.56 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.56 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.16/1.56 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.16/1.56 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.16/1.56 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.16/1.56 , Y ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.16/1.56 , Y ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.16/1.56 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.16/1.56 ],
% 1.16/1.56 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.16/1.56 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.16/1.56 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), Y ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.16/1.56 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.56 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.56 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.16/1.56 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.16/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.16/1.56 , X ) ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.16/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.16/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.16/1.56 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.16/1.56 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.56 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.16/1.56 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.56 ), Y ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.16/1.56 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.56 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.56 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.56 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.56 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.16/1.56 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 X ) ) ],
% 1.16/1.56 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.16/1.56 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.16/1.56 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.16/1.56 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.56 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.56 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.56 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.16/1.56 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.56 , X ) ), Z ) ), Z ) ) ],
% 1.16/1.56 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.16/1.56 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.16/1.56 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.16/1.56 ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.16/1.56 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 X ), Y ), Y ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.16/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.16/1.56 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.16/1.56 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.16/1.56 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.16/1.56 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.16/1.56 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.16/1.56 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.16/1.56 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.56 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.16/1.56 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ) ), Y ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.16/1.56 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.16/1.56 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.56 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.56 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.16/1.56 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.56 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.16/1.56 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.16/1.56 'tc_Complex_Ocomplex' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.16/1.56 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.16/1.56 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.56 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.16/1.56 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.16/1.56 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.16/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.16/1.56 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.16/1.56 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.16/1.56 , Y ) ],
% 1.16/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.16/1.56 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.16/1.56 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.56 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.16/1.56 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.16/1.56 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.16/1.56 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.56 Y ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.16/1.56 Y ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.16/1.56 Y ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.16/1.56 Y ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.56 Y ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.16/1.56 Y ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.16/1.56 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.16/1.56 ) ), Z ) ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.16/1.56 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.16/1.56 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.16/1.56 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.56 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.16/1.56 , W ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.16/1.56 X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.16/1.56 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.16/1.56 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.16/1.56 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.16/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.56 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.16/1.56 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.16/1.56 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.56 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.56 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.16/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.16/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.16/1.56 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.56 ) ) ],
% 1.16/1.56 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.16/1.56 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.16/1.56 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.16/1.56 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.16/1.56 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.16/1.56 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_i' ) ),
% 1.16/1.56 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.16/1.56 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.16/1.56 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.16/1.56 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.16/1.56 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.16/1.56 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 1.16/1.56 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.16/1.56 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.16/1.56 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.16/1.56 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.16/1.56 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.16/1.56 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ),
% 1.16/1.56 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ) ), 'v_i' ) ),
% 1.16/1.56 'c_COMBB'( 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.16/1.56 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat',
% 1.16/1.56 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.16/1.56 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.16/1.56 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.16/1.56 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.16/1.56 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.16/1.56 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.56 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.16/1.56 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.16/1.56 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.56 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.56 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.16/1.56 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.56 'class_Orderings_Opreorder'( Y ) ) ],
% 1.16/1.56 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.56 'class_Orderings_Oorder'( Y ) ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.16/1.56 ],
% 1.16/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.16/1.56 ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.16/1.56 ],
% 1.16/1.56 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.16/1.56 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.16/1.56 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.16/1.56 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.16/1.56 ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.16/1.56 ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.16/1.56 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.16/1.56 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.16/1.56 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.16/1.56 ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.16/1.56 ],
% 1.16/1.56 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.16/1.56 ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.16/1.56 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.16/1.56 , W ) ) ) ],
% 1.16/1.56 [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 1.16/1.56 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.16/1.56 ,
% 1.16/1.56 [ 'c_fequal'( X, X, Y ) ],
% 1.16/1.56 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.16/1.56 ] .
% 1.16/1.56
% 1.16/1.56
% 1.16/1.56 percentage equality = 0.195489, percentage horn = 0.828272
% 1.16/1.56 This is a problem with some equality
% 1.16/1.56
% 1.16/1.56
% 1.16/1.56
% 1.16/1.56 Options Used:
% 1.16/1.56
% 1.16/1.56 useres = 1
% 1.16/1.56 useparamod = 1
% 1.16/1.56 useeqrefl = 1
% 1.16/1.56 useeqfact = 1
% 1.16/1.56 usefactor = 1
% 1.16/1.56 usesimpsplitting = 0
% 1.16/1.56 usesimpdemod = 5
% 1.16/1.56 usesimpres = 3
% 1.16/1.56
% 1.16/1.56 resimpinuse = 1000
% 1.16/1.56 resimpclauses = 20000
% 1.16/1.56 substype = eqrewr
% 1.16/1.56 backwardsubs = 1
% 1.16/1.56 selectoldest = 5
% 1.16/1.56
% 1.16/1.56 litorderings [0] = split
% 1.16/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 1.16/1.56
% 1.16/1.56 termordering = kbo
% 1.16/1.56
% 1.16/1.56 litapriori = 0
% 1.16/1.56 termapriori = 1
% 1.16/1.56 litaposteriori = 0
% 1.16/1.56 termaposteriori = 0
% 1.16/1.56 demodaposteriori = 0
% 1.16/1.56 ordereqreflfact = 0
% 1.16/1.56
% 1.16/1.56 litselect = negord
% 1.16/1.56
% 1.16/1.56 maxweight = 15
% 1.16/1.56 maxdepth = 30000
% 1.16/1.56 maxlength = 115
% 1.16/1.56 maxnrvars = 195
% 1.16/1.56 excuselevel = 1
% 1.16/1.56 increasemaxweight = 1
% 1.16/1.56
% 1.16/1.56 maxselected = 10000000
% 1.16/1.56 maxnrclauses = 10000000
% 1.16/1.56
% 1.16/1.56 showgenerated = 0
% 1.16/1.56 showkept = 0
% 1.16/1.56 showselected = 0
% 1.16/1.56 showdeleted = 0
% 1.16/1.56 showresimp = 1
% 1.16/1.56 showstatus = 2000
% 1.16/1.56
% 1.16/1.56 prologoutput = 1
% 1.16/1.56 nrgoals = 5000000
% 1.16/1.56 totalproof = 1
% 1.16/1.56
% 1.16/1.56 Symbols occurring in the translation:
% 1.16/1.56
% 1.16/1.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.16/1.56 . [1, 2] (w:1, o:146, a:1, s:1, b:0),
% 1.16/1.56 ! [4, 1] (w:0, o:70, a:1, s:1, b:0),
% 1.16/1.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.16/1.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.48/1.89 'tc_nat' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.48/1.89 'c_HOL_Ominus__class_Ominus' [40, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.48/1.89 hAPP [42, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.48/1.89 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.48/1.89 'class_Ring__and__Field_Opordered__ring' [47, 1] (w:1, o:85, a:1, s:1
% 1.48/1.89 , b:0),
% 1.48/1.89 'c_HOL_Oplus__class_Oplus' [48, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.48/1.89 'c_HOL_Otimes__class_Otimes' [49, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Ogroup__add' [55, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.48/1.89
% 1.48/1.89 'c_HOL_Ozero__class_Ozero' [56, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus' [57, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.48/1.89 'class_Orderings_Oorder' [60, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.48/1.89 'class_Orderings_Olinorder' [62, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.48/1.89 'class_Orderings_Opreorder' [63, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.48/1.89 'c_lessequals' [65, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Opordered__comm__monoid__add' [66, 1] (w:1, o:96
% 1.48/1.89 , a:1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Opordered__ab__group__add' [67, 1] (w:1, o:97, a:
% 1.48/1.89 1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [68, 1]
% 1.48/1.89 (w:1, o:98, a:1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Oab__group__add' [69, 1] (w:1, o:99, a:1, s:1, b:
% 1.48/1.89 0),
% 1.48/1.89 'class_Int_Onumber' [71, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of' [73, 2] (w:1, o:172, a:1, s:1, b:0
% 1.48/1.89 ),
% 1.48/1.89 'class_Ring__and__Field_Ocomm__ring__1' [75, 1] (w:1, o:101, a:1, s:1
% 1.48/1.89 , b:0),
% 1.48/1.89 'c_Power_Opower__class_Opower' [76, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven' [77, 2] (w:1, o:173, a:1, s:1, b:0
% 1.48/1.89 ),
% 1.48/1.89 'class_OrderedGroup_Olordered__ab__group__add' [78, 1] (w:1, o:103
% 1.48/1.89 , a:1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [79, 1]
% 1.48/1.89 (w:1, o:104, a:1, s:1, b:0),
% 1.48/1.89 hBOOL [81, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.48/1.89 'class_Ring__and__Field_Oordered__idom' [82, 1] (w:1, o:78, a:1, s:1
% 1.48/1.89 , b:0),
% 1.48/1.89 'class_Int_Onumber__ring' [83, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.48/1.89 'c_Int_OMin' [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.48/1.89 'c_HOL_Oone__class_Oone' [85, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.48/1.89 'class_Ring__and__Field_Ofield' [86, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.48/1.89
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero' [87, 1] (w:1, o:112, a:1
% 1.48/1.89 , s:1, b:0),
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide' [88, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.48/1.89
% 1.48/1.89 'class_Ring__and__Field_Oordered__semidom' [89, 1] (w:1, o:80, a:1
% 1.48/1.89 , s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Ocomm__monoid__add' [90, 1] (w:1, o:114, a:1, s:1
% 1.48/1.89 , b:0),
% 1.48/1.89 'c_Suc' [92, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastLessThan' [93, 3] (w:1, o:177, a:1
% 1.48/1.89 , s:1, b:0),
% 1.48/1.89 'c_Finite__Set_Osetsum' [94, 4] (w:1, o:181, a:1, s:1, b:0),
% 1.48/1.89 'class_Ring__and__Field_Oordered__ring__strict' [95, 1] (w:1, o:79
% 1.48/1.89 , a:1, s:1, b:0),
% 1.48/1.89 'class_Ring__and__Field_Oordered__semiring__strict' [96, 1] (w:1, o:
% 1.48/1.89 81, a:1, s:1, b:0),
% 1.48/1.89 'class_Ring__and__Field_Oordered__comm__semiring__strict' [97, 1] (w:
% 1.48/1.89 1, o:82, a:1, s:1, b:0),
% 1.48/1.89 'class_Ring__and__Field_Ocomm__semiring__1' [98, 1] (w:1, o:110, a:1
% 1.48/1.89 , s:1, b:0),
% 1.48/1.89 'class_Ring__and__Field_Oring' [99, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Oordered__ab__group__add' [100, 1] (w:1, o:95, a:
% 1.48/1.89 1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Opordered__ab__semigroup__add' [101, 1] (w:1, o:
% 1.48/1.89 116, a:1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Ocancel__semigroup__add' [103, 1] (w:1, o:117, a:
% 1.48/1.89 1, s:1, b:0),
% 1.48/1.89 'class_OrderedGroup_Ocancel__ab__semigroup__add' [104, 1] (w:1, o:118
% 1.48/1.89 , a:1, s:1, b:0),
% 1.48/1.89 'class_Ring__and__Field_Oidom' [105, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.48/1.89
% 1.48/1.89 'c_Groebner__Basis_Ogb__semiring' [112, 6] (w:1, o:185, a:1, s:1, b:0
% 1.48/1.89 ),
% 1.48/1.89 'class_Ring__and__Field_Omult__mono1' [119, 1] (w:1, o:120, a:1, s:1
% 1.48/1.89 , b:0),
% 1.48/1.89 'class_Ring__and__Field_Omult__mono' [120, 1] (w:1, o:121, a:1, s:1
% 1.48/1.89 , b:0),
% 1.48/1.89 'class_Ring__and__Field_Opordered__cancel__semiring' [122, 1] (w:1
% 7.39/7.81 , o:122, a:1, s:1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Opordered__semiring' [123, 1] (w:1, o:123, a:
% 7.39/7.81 1, s:1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Osemiring' [124, 1] (w:1, o:127, a:1, s:1, b:
% 7.39/7.81 0),
% 7.39/7.81 'class_Ring__and__Field_Oordered__field' [125, 1] (w:1, o:83, a:1, s:
% 7.39/7.81 1, b:0),
% 7.39/7.81 'class_Lattices_Oboolean__algebra' [126, 1] (w:1, o:128, a:1, s:1, b:
% 7.39/7.81 0),
% 7.39/7.81 'class_OrderedGroup_Oab__semigroup__add' [127, 1] (w:1, o:129, a:1
% 7.39/7.81 , s:1, b:0),
% 7.39/7.81 'class_RealVector_Oreal__normed__algebra' [129, 1] (w:1, o:130, a:1
% 7.39/7.81 , s:1, b:0),
% 7.39/7.81 'c_COMBB' [132, 5] (w:1, o:183, a:1, s:1, b:0),
% 7.39/7.81 'c_Int_OPls' [134, 0] (w:1, o:53, a:1, s:1, b:0),
% 7.39/7.81 'c_Int_OBit1' [135, 1] (w:1, o:132, a:1, s:1, b:0),
% 7.39/7.81 'c_Int_OBit0' [136, 1] (w:1, o:131, a:1, s:1, b:0),
% 7.39/7.81 'class_OrderedGroup_Omonoid__add' [137, 1] (w:1, o:133, a:1, s:1, b:0
% 7.39/7.81 ),
% 7.39/7.81 'class_Ring__and__Field_Oordered__semiring' [138, 1] (w:1, o:84, a:1
% 7.39/7.81 , s:1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Ocomm__semiring' [139, 1] (w:1, o:111, a:1
% 7.39/7.81 , s:1, b:0),
% 7.39/7.81 'class_OrderedGroup_Omonoid__mult' [143, 1] (w:1, o:134, a:1, s:1, b:
% 7.39/7.81 0),
% 7.39/7.81 'class_Ring__and__Field_Oring__1' [144, 1] (w:1, o:124, a:1, s:1, b:0
% 7.39/7.81 ),
% 7.39/7.81 'tc_fun' [145, 2] (w:1, o:174, a:1, s:1, b:0),
% 7.39/7.81 'c_COMBS' [147, 5] (w:1, o:184, a:1, s:1, b:0),
% 7.39/7.81 'tc_Complex_Ocomplex' [148, 0] (w:1, o:55, a:1, s:1, b:0),
% 7.39/7.81 'c_FFT__Mirabelle_Oroot' [149, 1] (w:1, o:135, a:1, s:1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Ocomm__ring' [150, 1] (w:1, o:108, a:1, s:1
% 7.39/7.81 , b:0),
% 7.39/7.81 'c_Fun_Oinj__on' [151, 4] (w:1, o:182, a:1, s:1, b:0),
% 7.39/7.81 'class_RealVector_Oreal__field' [152, 1] (w:1, o:136, a:1, s:1, b:0)
% 7.39/7.81 ,
% 7.39/7.81 'class_RealVector_Oreal__normed__field' [155, 1] (w:1, o:137, a:1, s:
% 7.39/7.81 1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Ocomm__semiring__0' [157, 1] (w:1, o:109, a:1
% 7.39/7.81 , s:1, b:0),
% 7.39/7.81 'class_Power_Opower' [158, 1] (w:1, o:141, a:1, s:1, b:0),
% 7.39/7.81 'v_i' [159, 0] (w:1, o:57, a:1, s:1, b:0),
% 7.39/7.81 'c_FFT__Mirabelle_ODFT' [160, 3] (w:1, o:178, a:1, s:1, b:0),
% 7.39/7.81 'c_FFT__Mirabelle_OIDFT' [161, 3] (w:1, o:179, a:1, s:1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Osemiring__0' [162, 1] (w:1, o:142, a:1, s:1
% 7.39/7.81 , b:0),
% 7.39/7.81 'class_Ring__and__Field_Ozero__neq__one' [163, 1] (w:1, o:143, a:1
% 7.39/7.81 , s:1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Ono__zero__divisors' [166, 1] (w:1, o:77, a:1
% 7.39/7.81 , s:1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Omult__zero' [167, 1] (w:1, o:76, a:1, s:1
% 7.39/7.81 , b:0),
% 7.39/7.81 'class_Ring__and__Field_Oring__no__zero__divisors' [168, 1] (w:1, o:
% 7.39/7.81 125, a:1, s:1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Osemiring__1' [169, 1] (w:1, o:144, a:1, s:1
% 7.39/7.81 , b:0),
% 7.39/7.81 'class_OrderedGroup_Oab__semigroup__mult' [170, 1] (w:1, o:138, a:1
% 7.39/7.81 , s:1, b:0),
% 7.39/7.81 'class_OrderedGroup_Ocomm__monoid__mult' [171, 1] (w:1, o:139, a:1
% 7.39/7.81 , s:1, b:0),
% 7.39/7.81 'class_OrderedGroup_Oab__semigroup__idem__mult' [172, 1] (w:1, o:140
% 7.39/7.81 , a:1, s:1, b:0),
% 7.39/7.81 'class_Ring__and__Field_Oring__1__no__zero__divisors' [173, 1] (w:1
% 7.39/7.81 , o:126, a:1, s:1, b:0),
% 7.39/7.81 'class_Int_Oring__char__0' [177, 1] (w:1, o:145, a:1, s:1, b:0),
% 7.39/7.81 'v_a' [178, 0] (w:1, o:63, a:1, s:1, b:0),
% 7.39/7.81 'v_m' [179, 0] (w:1, o:64, a:1, s:1, b:0),
% 7.39/7.81 'tc_Int_Oint' [182, 0] (w:1, o:67, a:1, s:1, b:0),
% 7.39/7.81 'c_COMBC' [183, 6] (w:1, o:186, a:1, s:1, b:0),
% 7.39/7.81 'c_fequal' [184, 3] (w:1, o:180, a:1, s:1, b:0).
% 7.39/7.81
% 7.39/7.81
% 7.39/7.81 Starting Search:
% 7.39/7.81
% 7.39/7.81 Resimplifying inuse:
% 7.39/7.81 Done
% 7.39/7.81
% 7.39/7.81
% 7.39/7.81 Intermediate Status:
% 7.39/7.81 Generated: 2990
% 7.39/7.81 Kept: 2045
% 7.39/7.81 Inuse: 168
% 7.39/7.81 Deleted: 3
% 7.39/7.81 Deletedinuse: 0
% 7.39/7.81
% 7.39/7.81 Resimplifying inuse:
% 7.39/7.81 Done
% 7.39/7.81
% 7.39/7.81 Resimplifying inuse:
% 7.39/7.81 Done
% 7.39/7.81
% 7.39/7.81
% 7.39/7.81 Intermediate Status:
% 7.39/7.81 Generated: 7101
% 7.39/7.81 Kept: 4126
% 7.39/7.81 Inuse: 341
% 7.39/7.81 Deleted: 16
% 7.39/7.81 Deletedinuse: 1
% 7.39/7.81
% 7.39/7.81 Resimplifying inuse:
% 7.39/7.81 Done
% 7.39/7.81
% 7.39/7.81 Resimplifying inuse:
% 7.39/7.81 Done
% 7.39/7.81
% 7.39/7.81
% 7.39/7.81 Intermediate Status:
% 7.39/7.81 Generated: 12201
% 7.39/7.81 Kept: 6160
% 7.39/7.81 Inuse: 446
% 7.39/7.81 Deleted: 16
% 7.39/7.81 Deletedinuse: 1
% 7.39/7.81
% 7.39/7.81 Resimplifying inuse:
% 7.39/7.81 Done
% 7.39/7.81
% 7.39/7.81 Resimplifying inuse:
% 7.39/7.81 Done
% 7.39/7.81
% 7.39/7.81
% 7.39/7.81 Intermediate Status:
% 7.39/7.81 Generated: 18548
% 7.39/7.81 Kept: 8352
% 7.39/7.81 Inuse: 511
% 7.39/7.81 Deleted: 16
% 7.39/7.81 Deletedinuse: 1
% 7.39/7.81
% 7.39/7.81 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 25758
% 26.79/27.17 Kept: 10469
% 26.79/27.17 Inuse: 521
% 26.79/27.17 Deleted: 16
% 26.79/27.17 Deletedinuse: 1
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 32392
% 26.79/27.17 Kept: 12602
% 26.79/27.17 Inuse: 556
% 26.79/27.17 Deleted: 16
% 26.79/27.17 Deletedinuse: 1
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 39516
% 26.79/27.17 Kept: 14729
% 26.79/27.17 Inuse: 596
% 26.79/27.17 Deleted: 16
% 26.79/27.17 Deletedinuse: 1
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 44840
% 26.79/27.17 Kept: 16846
% 26.79/27.17 Inuse: 626
% 26.79/27.17 Deleted: 16
% 26.79/27.17 Deletedinuse: 1
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 49228
% 26.79/27.17 Kept: 18859
% 26.79/27.17 Inuse: 651
% 26.79/27.17 Deleted: 16
% 26.79/27.17 Deletedinuse: 1
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 54740
% 26.79/27.17 Kept: 20909
% 26.79/27.17 Inuse: 675
% 26.79/27.17 Deleted: 17
% 26.79/27.17 Deletedinuse: 1
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying clauses:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 60619
% 26.79/27.17 Kept: 22960
% 26.79/27.17 Inuse: 690
% 26.79/27.17 Deleted: 350
% 26.79/27.17 Deletedinuse: 2
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 67471
% 26.79/27.17 Kept: 25007
% 26.79/27.17 Inuse: 745
% 26.79/27.17 Deleted: 350
% 26.79/27.17 Deletedinuse: 2
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 74504
% 26.79/27.17 Kept: 27096
% 26.79/27.17 Inuse: 795
% 26.79/27.17 Deleted: 350
% 26.79/27.17 Deletedinuse: 2
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 82170
% 26.79/27.17 Kept: 29101
% 26.79/27.17 Inuse: 843
% 26.79/27.17 Deleted: 350
% 26.79/27.17 Deletedinuse: 2
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 97888
% 26.79/27.17 Kept: 31273
% 26.79/27.17 Inuse: 850
% 26.79/27.17 Deleted: 350
% 26.79/27.17 Deletedinuse: 2
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 105487
% 26.79/27.17 Kept: 33561
% 26.79/27.17 Inuse: 860
% 26.79/27.17 Deleted: 350
% 26.79/27.17 Deletedinuse: 2
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 117549
% 26.79/27.17 Kept: 35931
% 26.79/27.17 Inuse: 914
% 26.79/27.17 Deleted: 351
% 26.79/27.17 Deletedinuse: 2
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 127690
% 26.79/27.17 Kept: 37932
% 26.79/27.17 Inuse: 955
% 26.79/27.17 Deleted: 354
% 26.79/27.17 Deletedinuse: 5
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 135453
% 26.79/27.17 Kept: 40016
% 26.79/27.17 Inuse: 999
% 26.79/27.17 Deleted: 354
% 26.79/27.17 Deletedinuse: 5
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying clauses:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 141227
% 26.79/27.17 Kept: 42053
% 26.79/27.17 Inuse: 1009
% 26.79/27.17 Deleted: 1046
% 26.79/27.17 Deletedinuse: 5
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 146958
% 26.79/27.17 Kept: 44198
% 26.79/27.17 Inuse: 1034
% 26.79/27.17 Deleted: 1047
% 26.79/27.17 Deletedinuse: 6
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 153818
% 26.79/27.17 Kept: 46296
% 26.79/27.17 Inuse: 1049
% 26.79/27.17 Deleted: 1047
% 26.79/27.17 Deletedinuse: 6
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 160948
% 26.79/27.17 Kept: 48533
% 26.79/27.17 Inuse: 1089
% 26.79/27.17 Deleted: 1047
% 26.79/27.17 Deletedinuse: 6
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 181297
% 26.79/27.17 Kept: 51595
% 26.79/27.17 Inuse: 1109
% 26.79/27.17 Deleted: 1047
% 26.79/27.17 Deletedinuse: 6
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 201915
% 26.79/27.17 Kept: 55724
% 26.79/27.17 Inuse: 1119
% 26.79/27.17 Deleted: 1047
% 26.79/27.17 Deletedinuse: 6
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 220392
% 26.79/27.17 Kept: 58210
% 26.79/27.17 Inuse: 1129
% 26.79/27.17 Deleted: 1047
% 26.79/27.17 Deletedinuse: 6
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 227844
% 26.79/27.17 Kept: 60222
% 26.79/27.17 Inuse: 1168
% 26.79/27.17 Deleted: 1047
% 26.79/27.17 Deletedinuse: 6
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying clauses:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 243906
% 26.79/27.17 Kept: 63403
% 26.79/27.17 Inuse: 1179
% 26.79/27.17 Deleted: 1229
% 26.79/27.17 Deletedinuse: 6
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17 Resimplifying inuse:
% 26.79/27.17 Done
% 26.79/27.17
% 26.79/27.17
% 26.79/27.17 Intermediate Status:
% 26.79/27.17 Generated: 250488
% 26.79/27.17 Kept: 65844
% 26.79/27.17 Inuse: 1194
% 80.02/80.42 Deleted: 1229
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 259275
% 80.02/80.42 Kept: 68016
% 80.02/80.42 Inuse: 1224
% 80.02/80.42 Deleted: 1229
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 268910
% 80.02/80.42 Kept: 70016
% 80.02/80.42 Inuse: 1262
% 80.02/80.42 Deleted: 1229
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 281328
% 80.02/80.42 Kept: 72169
% 80.02/80.42 Inuse: 1304
% 80.02/80.42 Deleted: 1229
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 292019
% 80.02/80.42 Kept: 74469
% 80.02/80.42 Inuse: 1339
% 80.02/80.42 Deleted: 1229
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 300679
% 80.02/80.42 Kept: 76484
% 80.02/80.42 Inuse: 1354
% 80.02/80.42 Deleted: 1229
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 309701
% 80.02/80.42 Kept: 78656
% 80.02/80.42 Inuse: 1389
% 80.02/80.42 Deleted: 1229
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 322573
% 80.02/80.42 Kept: 82088
% 80.02/80.42 Inuse: 1424
% 80.02/80.42 Deleted: 1229
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying clauses:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 336107
% 80.02/80.42 Kept: 85463
% 80.02/80.42 Inuse: 1434
% 80.02/80.42 Deleted: 1578
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 346624
% 80.02/80.42 Kept: 87615
% 80.02/80.42 Inuse: 1469
% 80.02/80.42 Deleted: 1578
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 355674
% 80.02/80.42 Kept: 89624
% 80.02/80.42 Inuse: 1495
% 80.02/80.42 Deleted: 1578
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 365044
% 80.02/80.42 Kept: 91636
% 80.02/80.42 Inuse: 1518
% 80.02/80.42 Deleted: 1578
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 374684
% 80.02/80.42 Kept: 93916
% 80.02/80.42 Inuse: 1539
% 80.02/80.42 Deleted: 1578
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 383771
% 80.02/80.42 Kept: 96219
% 80.02/80.42 Inuse: 1564
% 80.02/80.42 Deleted: 1578
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 393461
% 80.02/80.42 Kept: 98359
% 80.02/80.42 Inuse: 1594
% 80.02/80.42 Deleted: 1578
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 416656
% 80.02/80.42 Kept: 104333
% 80.02/80.42 Inuse: 1604
% 80.02/80.42 Deleted: 1578
% 80.02/80.42 Deletedinuse: 6
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying clauses:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 441088
% 80.02/80.42 Kept: 107839
% 80.02/80.42 Inuse: 1635
% 80.02/80.42 Deleted: 1803
% 80.02/80.42 Deletedinuse: 7
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 453021
% 80.02/80.42 Kept: 110182
% 80.02/80.42 Inuse: 1660
% 80.02/80.42 Deleted: 1804
% 80.02/80.42 Deletedinuse: 8
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 461544
% 80.02/80.42 Kept: 112686
% 80.02/80.42 Inuse: 1680
% 80.02/80.42 Deleted: 1804
% 80.02/80.42 Deletedinuse: 8
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 492985
% 80.02/80.42 Kept: 117569
% 80.02/80.42 Inuse: 1690
% 80.02/80.42 Deleted: 1804
% 80.02/80.42 Deletedinuse: 8
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 504154
% 80.02/80.42 Kept: 119974
% 80.02/80.42 Inuse: 1710
% 80.02/80.42 Deleted: 1804
% 80.02/80.42 Deletedinuse: 8
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 514500
% 80.02/80.42 Kept: 122365
% 80.02/80.42 Inuse: 1715
% 80.02/80.42 Deleted: 1804
% 80.02/80.42 Deletedinuse: 8
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 530532
% 80.02/80.42 Kept: 124565
% 80.02/80.42 Inuse: 1735
% 80.02/80.42 Deleted: 1804
% 80.02/80.42 Deletedinuse: 8
% 80.02/80.42
% 80.02/80.42 Resimplifying clauses:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 538265
% 80.02/80.42 Kept: 126745
% 80.02/80.42 Inuse: 1750
% 80.02/80.42 Deleted: 2015
% 80.02/80.42 Deletedinuse: 8
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 80.02/80.42 Done
% 80.02/80.42
% 80.02/80.42
% 80.02/80.42 Intermediate Status:
% 80.02/80.42 Generated: 576639
% 80.02/80.42 Kept: 132798
% 80.02/80.42 Inuse: 1765
% 80.02/80.42 Deleted: 2015
% 80.02/80.42 Deletedinuse: 8
% 80.02/80.42
% 80.02/80.42 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 593825
% 145.95/146.45 Kept: 136689
% 145.95/146.45 Inuse: 1780
% 145.95/146.45 Deleted: 2015
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 612015
% 145.95/146.45 Kept: 140738
% 145.95/146.45 Inuse: 1790
% 145.95/146.45 Deleted: 2015
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 628706
% 145.95/146.45 Kept: 144464
% 145.95/146.45 Inuse: 1795
% 145.95/146.45 Deleted: 2015
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 645455
% 145.95/146.45 Kept: 148117
% 145.95/146.45 Inuse: 1800
% 145.95/146.45 Deleted: 2015
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying clauses:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 658969
% 145.95/146.45 Kept: 150771
% 145.95/146.45 Inuse: 1835
% 145.95/146.45 Deleted: 2085
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 674723
% 145.95/146.45 Kept: 153242
% 145.95/146.45 Inuse: 1860
% 145.95/146.45 Deleted: 2085
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 681790
% 145.95/146.45 Kept: 155748
% 145.95/146.45 Inuse: 1880
% 145.95/146.45 Deleted: 2085
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 690585
% 145.95/146.45 Kept: 157934
% 145.95/146.45 Inuse: 1895
% 145.95/146.45 Deleted: 2085
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 706917
% 145.95/146.45 Kept: 160656
% 145.95/146.45 Inuse: 1897
% 145.95/146.45 Deleted: 2085
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 718984
% 145.95/146.45 Kept: 163232
% 145.95/146.45 Inuse: 1908
% 145.95/146.45 Deleted: 2085
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 730275
% 145.95/146.45 Kept: 165755
% 145.95/146.45 Inuse: 1915
% 145.95/146.45 Deleted: 2085
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 746095
% 145.95/146.45 Kept: 168936
% 145.95/146.45 Inuse: 1925
% 145.95/146.45 Deleted: 2085
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying clauses:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 757743
% 145.95/146.45 Kept: 171586
% 145.95/146.45 Inuse: 1930
% 145.95/146.45 Deleted: 2574
% 145.95/146.45 Deletedinuse: 8
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 769586
% 145.95/146.45 Kept: 174313
% 145.95/146.45 Inuse: 1935
% 145.95/146.45 Deleted: 2575
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 781320
% 145.95/146.45 Kept: 177023
% 145.95/146.45 Inuse: 1939
% 145.95/146.45 Deleted: 2576
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 802985
% 145.95/146.45 Kept: 182730
% 145.95/146.45 Inuse: 1941
% 145.95/146.45 Deleted: 2576
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 868345
% 145.95/146.45 Kept: 189989
% 145.95/146.45 Inuse: 1954
% 145.95/146.45 Deleted: 2576
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying clauses:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 878680
% 145.95/146.45 Kept: 192347
% 145.95/146.45 Inuse: 1974
% 145.95/146.45 Deleted: 2711
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 888584
% 145.95/146.45 Kept: 194736
% 145.95/146.45 Inuse: 1994
% 145.95/146.45 Deleted: 2711
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 940634
% 145.95/146.45 Kept: 202836
% 145.95/146.45 Inuse: 2014
% 145.95/146.45 Deleted: 2711
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 950546
% 145.95/146.45 Kept: 205091
% 145.95/146.45 Inuse: 2029
% 145.95/146.45 Deleted: 2711
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 960104
% 145.95/146.45 Kept: 207582
% 145.95/146.45 Inuse: 2049
% 145.95/146.45 Deleted: 2711
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 974410
% 145.95/146.45 Kept: 210996
% 145.95/146.45 Inuse: 2059
% 145.95/146.45 Deleted: 2711
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying clauses:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 988812
% 145.95/146.45 Kept: 214372
% 145.95/146.45 Inuse: 2069
% 145.95/146.45 Deleted: 3001
% 145.95/146.45 Deletedinuse: 9
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45 Resimplifying inuse:
% 145.95/146.45 Done
% 145.95/146.45
% 145.95/146.45
% 145.95/146.45 Intermediate Status:
% 145.95/146.45 Generated: 995610
% 145.95/146.45 Kept: 216453
% 145.95/146.45 Inuse: 2084
% 145.95/146.45 Deleted: 3001
% 145.95/146.45 Deletedinuse: 9
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1005334
% 273.81/274.31 Kept: 218647
% 273.81/274.31 Inuse: 2099
% 273.81/274.31 Deleted: 3001
% 273.81/274.31 Deletedinuse: 9
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1015650
% 273.81/274.31 Kept: 221013
% 273.81/274.31 Inuse: 2114
% 273.81/274.31 Deleted: 3001
% 273.81/274.31 Deletedinuse: 9
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1028005
% 273.81/274.31 Kept: 223348
% 273.81/274.31 Inuse: 2129
% 273.81/274.31 Deleted: 3001
% 273.81/274.31 Deletedinuse: 9
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1038163
% 273.81/274.31 Kept: 225576
% 273.81/274.31 Inuse: 2144
% 273.81/274.31 Deleted: 3001
% 273.81/274.31 Deletedinuse: 9
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1046831
% 273.81/274.31 Kept: 227648
% 273.81/274.31 Inuse: 2159
% 273.81/274.31 Deleted: 3001
% 273.81/274.31 Deletedinuse: 9
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1058861
% 273.81/274.31 Kept: 234379
% 273.81/274.31 Inuse: 2164
% 273.81/274.31 Deleted: 3001
% 273.81/274.31 Deletedinuse: 9
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying clauses:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1066872
% 273.81/274.31 Kept: 236418
% 273.81/274.31 Inuse: 2179
% 273.81/274.31 Deleted: 3384
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1075446
% 273.81/274.31 Kept: 238429
% 273.81/274.31 Inuse: 2197
% 273.81/274.31 Deleted: 3384
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1083201
% 273.81/274.31 Kept: 240901
% 273.81/274.31 Inuse: 2214
% 273.81/274.31 Deleted: 3384
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1090993
% 273.81/274.31 Kept: 243284
% 273.81/274.31 Inuse: 2229
% 273.81/274.31 Deleted: 3384
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1118710
% 273.81/274.31 Kept: 246048
% 273.81/274.31 Inuse: 2234
% 273.81/274.31 Deleted: 3384
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1126347
% 273.81/274.31 Kept: 248286
% 273.81/274.31 Inuse: 2248
% 273.81/274.31 Deleted: 3385
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1136843
% 273.81/274.31 Kept: 251288
% 273.81/274.31 Inuse: 2263
% 273.81/274.31 Deleted: 3385
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1152594
% 273.81/274.31 Kept: 254881
% 273.81/274.31 Inuse: 2268
% 273.81/274.31 Deleted: 3385
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying clauses:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1168478
% 273.81/274.31 Kept: 258513
% 273.81/274.31 Inuse: 2273
% 273.81/274.31 Deleted: 3592
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1184347
% 273.81/274.31 Kept: 262111
% 273.81/274.31 Inuse: 2278
% 273.81/274.31 Deleted: 3592
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1200305
% 273.81/274.31 Kept: 265726
% 273.81/274.31 Inuse: 2283
% 273.81/274.31 Deleted: 3592
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1210093
% 273.81/274.31 Kept: 267734
% 273.81/274.31 Inuse: 2298
% 273.81/274.31 Deleted: 3592
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1219308
% 273.81/274.31 Kept: 270104
% 273.81/274.31 Inuse: 2308
% 273.81/274.31 Deleted: 3592
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1227245
% 273.81/274.31 Kept: 272433
% 273.81/274.31 Inuse: 2323
% 273.81/274.31 Deleted: 3592
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1234830
% 273.81/274.31 Kept: 275147
% 273.81/274.31 Inuse: 2333
% 273.81/274.31 Deleted: 3592
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying clauses:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1246344
% 273.81/274.31 Kept: 278332
% 273.81/274.31 Inuse: 2348
% 273.81/274.31 Deleted: 3833
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1254328
% 273.81/274.31 Kept: 280798
% 273.81/274.31 Inuse: 2358
% 273.81/274.31 Deleted: 3833
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1263573
% 273.81/274.31 Kept: 283205
% 273.81/274.31 Inuse: 2378
% 273.81/274.31 Deleted: 3833
% 273.81/274.31 Deletedinuse: 10
% 273.81/274.31
% 273.81/274.31 Resimplifying inuse:
% 273.81/274.31 Done
% 273.81/274.31
% 273.81/274.31
% 273.81/274.31 Intermediate Status:
% 273.81/274.31 Generated: 1272674
% 273.81/274.31 Kept: 286165
% 273.81/274.31 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------