TSTP Solution File: SWV711-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV711-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 16:27:59 EDT 2022
% Result : Timeout 300.01s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV711-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 19:18:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.99/1.40 *** allocated 10000 integers for termspace/termends
% 0.99/1.40 *** allocated 10000 integers for clauses
% 0.99/1.40 *** allocated 10000 integers for justifications
% 0.99/1.40 *** allocated 15000 integers for termspace/termends
% 0.99/1.40 *** allocated 22500 integers for termspace/termends
% 0.99/1.40 Bliksem 1.12
% 0.99/1.40
% 0.99/1.40
% 0.99/1.40 Automatic Strategy Selection
% 0.99/1.40
% 0.99/1.40 Clauses:
% 0.99/1.40 [
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.99/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.99/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.40 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.40 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 0.99/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.40 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.40 ,
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.40 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.40 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.40 Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ), Y )
% 0.99/1.40 ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.99/1.40 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ),
% 0.99/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ) ),
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.40 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 0.99/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 0.99/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.99/1.40 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 0.99/1.40 'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.40 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), hAPP( hAPP(
% 0.99/1.40 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , X ) ), T ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X
% 0.99/1.41 ) ), Z ) ), W ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X
% 0.99/1.41 ) ), Z ) ), T ), W ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.41 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( T, Y, X
% 0.99/1.41 ) ), Z ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X
% 0.99/1.41 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ),
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.99/1.41 ) ), U ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.99/1.41 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.99/1.41 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.99/1.41 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.99/1.41 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.99/1.41 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.99/1.41 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ =( 'c_FFT__Mirabelle_OIFFT'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.99/1.41 ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.99/1.41 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , 'tc_nat' ), 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , 'tc_nat' ), 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.99/1.41 ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.41 X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.99/1.41 ) ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 , X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.41 , X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.99/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ), 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.99/1.41 ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 0.99/1.41 ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.99/1.41 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.99/1.41 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.99/1.41 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.99/1.41 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.99/1.41 , V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.99/1.41 T, X, U, W, Y, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.99/1.41 T, X, U, Y, W, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.99/1.41 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.99/1.41 , V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.99/1.41 X, T, U, Y, W, V0 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.99/1.41 , X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.99/1.41 , X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 0.99/1.41 ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 0.99/1.41 ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ), Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), Y, X ), Z ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ), Y ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.99/1.41 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.99/1.41 , X ) ), Z ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ), =( 'c_HOL_Oinverse__class_Odivide'( Y, U, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 0.99/1.41 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.99/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.99/1.41 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.99/1.41 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.99/1.41 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.99/1.41 ), 'tc_nat' ) ) ],
% 0.99/1.41 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 Z, X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ), =( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.41 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.99/1.41 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.99/1.41 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 0.99/1.41 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.99/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.99/1.41 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 0.99/1.41 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.99/1.41 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.99/1.41 , Y, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.99/1.41 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.99/1.41 , X, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.99/1.41 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.99/1.41 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.99/1.41 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.99/1.41 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.99/1.41 , X, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 0.99/1.41 ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 0.99/1.41 ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ) ), =( Y, Z ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.99/1.41 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), hAPP(
% 0.99/1.41 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), hAPP( 'c_Suc',
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), hAPP(
% 0.99/1.41 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), hAPP( 'c_Suc',
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.99/1.41 [ ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y )
% 0.99/1.41 , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 0.99/1.41 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 0.99/1.41 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 0.99/1.41 'tc_nat' ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 0.99/1.41 hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 'tc_nat' ) )
% 0.99/1.41 ],
% 0.99/1.41 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.99/1.41 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ),
% 0.99/1.41 X ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ),
% 0.99/1.41 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.99/1.41 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.99/1.41 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 0.99/1.41 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 0.99/1.41 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.41 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), T ) ), U ), W, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ), W, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.99/1.41 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), U ) ), W ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.99/1.41 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), T ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), T ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), T ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), T ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.99/1.41 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.99/1.41 , V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.99/1.41 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.99/1.41 , V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.99/1.41 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.99/1.41 W, V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.99/1.41 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.99/1.41 W, V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.99/1.41 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.99/1.41 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.99/1.41 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.99/1.41 W, V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.99/1.41 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.99/1.41 , V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.99/1.41 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.99/1.41 W, V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.99/1.41 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.99/1.41 , V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.99/1.41 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 0.99/1.41 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.99/1.41 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 0.99/1.41 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.99/1.41 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.99/1.41 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.99/1.41 T, X, U, W, Z, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.99/1.41 T, X, U, W, Y, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.99/1.41 T, X, U, Z, W, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.99/1.41 T, X, U, Y, W, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.99/1.41 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.99/1.41 X, T, U, Z, W, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.99/1.41 X, T, U, Y, W, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 0.99/1.41 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 0.99/1.41 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 0.99/1.41 , V0, U, V1 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 0.99/1.41 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 0.99/1.41 , V0, U, V1 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 0.99/1.41 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.99/1.41 X ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.99/1.41 X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.41 Y, Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.99/1.41 X ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 0.99/1.41 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 0.99/1.41 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.99/1.41 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 0.99/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.99/1.41 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.41 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.99/1.41 , X ) ) ), =( Y, Z ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.99/1.41 , X ) ) ), =( Y, Z ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.41 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.41 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.99/1.41 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.99/1.41 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.41 , T, X ) ) ), =( Z, T ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.41 , T, X ) ) ), =( Y, Z ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.99/1.41 , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.99/1.41 , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.99/1.41 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.99/1.41 , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ) ), =( Y, Z ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ) ), =( Y, Z ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.41 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.99/1.41 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.41 ), Y ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.41 ), Y ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.41 ), Y ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.41 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.41 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.41 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Z, Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.99/1.41 , X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.99/1.41 , X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.99/1.41 , X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.41 , X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.41 , X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.41 ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.41 ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.41 ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.99/1.41 , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.99/1.41 , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.41 ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.41 ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y,
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.99/1.41 T, X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 0.99/1.41 , 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.41 , ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), T ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.99/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.99/1.41 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.99/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.99/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.99/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.41 ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), Z, X ) ), =( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z
% 0.99/1.41 , T, X ) ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), T, X ) ), =( T,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), W, X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.41 Z, U, X ), W, X ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, T, X )
% 0.99/1.41 , W, X ) ), U ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.41 ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X ) ), =( U,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.99/1.41 ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.99/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , X ) ), T ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.99/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.99/1.41 , 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , X ) ), Z ), Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.99/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 0.99/1.41 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 0.99/1.41 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.41 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.41 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), Z ) ), X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), U ), X ) ), Z ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 0.99/1.41 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.99/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.99/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.99/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.99/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.99/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.99/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.99/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.99/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.99/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.41 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.99/1.41 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.41 , Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 0.99/1.41 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.99/1.41 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 0.99/1.41 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 0.99/1.41 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 0.99/1.41 , X, Z, U, W, V0 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 0.99/1.41 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 0.99/1.41 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ) ) ],
% 0.99/1.41 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.99/1.41 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 0.99/1.41 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.99/1.41 ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 0.99/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 0.99/1.41 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.99/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 0.99/1.41 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.99/1.41 T, X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.99/1.41 ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.99/1.41 ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.99/1.41 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 Z, X ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.99/1.41 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 Y, X ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.99/1.41 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.99/1.41 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.99/1.41 , Z ) ), Z ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.41 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.99/1.41 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.99/1.41 ), Z ), Y ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.41 Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y,
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 Y ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.99/1.41 Y ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 Y ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.41 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.99/1.41 Y ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.99/1.41 Y ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 Y ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.99/1.41 Y ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.99/1.41 , Y ), Z ), Z, X ), Y ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OMin', X ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.99/1.41 Z, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 0.99/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OMin', X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X ) ), =( U,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.99/1.41 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 0.99/1.41 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'(
% 0.99/1.41 Y, 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.99/1.41 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.99/1.41 ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.41 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.99/1.41 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 0.99/1.41 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 0.99/1.41 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 0.99/1.41 V0, V1 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 0.99/1.41 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 0.99/1.41 V0, V1 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 0.99/1.41 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 0.99/1.41 , V0, V1 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 0.99/1.41 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 0.99/1.41 , V0, V1 ) ) ],
% 0.99/1.41 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 0.99/1.41 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.99/1.41 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.99/1.41 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.99/1.41 ), 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.99/1.41 ), 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.99/1.41 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.41 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.99/1.41 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.99/1.41 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.41 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 Y, X ), Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.41 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.99/1.41 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.99/1.41 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.41 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 Y, Z, X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 0.99/1.41 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.99/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.99/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ), Y ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 'tc_nat' ) ) ) ],
% 0.99/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.99/1.41 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.41 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 0.99/1.41 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.99/1.41 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.99/1.41 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 0.99/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.99/1.41 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 0.99/1.41 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 0.99/1.41 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.99/1.41 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.41 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.99/1.41 ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.41 X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 0.99/1.41 'tc_nat', 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.99/1.41 X ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ), X ) )
% 0.99/1.41 ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.99/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.99/1.41 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.99/1.41 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.99/1.41 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ) ), X ), Z, X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.99/1.41 'c_HOL_Oone__class_Oone'( X ) ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Y, Z, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.99/1.41 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.41 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 0.99/1.41 [ =( 'c_FFT__Mirabelle_OIDFT'( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), X, Y ), hAPP(
% 0.99/1.41 'c_FFT__Mirabelle_OIFFT'( 'v_ka____', X ), Y ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 0.99/1.41 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.99/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), 'tc_nat' ) )
% 0.99/1.41 ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 0.99/1.41 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 0.99/1.41 ), Y ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 0.99/1.41 ), Y ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 0.99/1.41 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.99/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 0.99/1.41 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), Y ), Z ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 0.99/1.41 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.99/1.41 Y ) ) ],
% 0.99/1.41 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 0.99/1.41 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.41 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.99/1.41 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.41 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.99/1.41 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 0.99/1.41 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 0.99/1.41 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.99/1.41 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 0.99/1.41 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.99/1.41 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.41 ) ), Z ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.99/1.41 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.99/1.41 , X ) ) ],
% 0.99/1.41 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.41 , Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.41 , Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.99/1.41 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.41 T, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.41 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 0.99/1.41 , T ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 0.99/1.41 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.99/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 0.99/1.41 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.41 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.99/1.41 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.99/1.41 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.41 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.99/1.41 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.99/1.41 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.99/1.41 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'v_i____', hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ), 'tc_nat' ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( 'v_i____', hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( 'tc_nat' ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', 'v_ka____' ) ), 'tc_nat' )
% 0.99/1.41 ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.41 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), Y ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OPls', X ) ), Y ), Y ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OPls', X ) ), Y ) ],
% 0.99/1.41 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 0.99/1.41 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 0.99/1.41 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 0.99/1.41 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 0.99/1.41 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 0.99/1.41 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.99/1.41 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.99/1.41 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.99/1.41 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.99/1.41 ), Z ), Y ), 'tc_nat' ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.99/1.41 ), Y ), Z ), 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.99/1.41 , X ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ),
% 0.99/1.41 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.41 X ), Y ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X
% 0.99/1.41 ) ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.41 ), =( Z, Y ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.41 ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.41 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.99/1.41 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.99/1.41 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.99/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.41 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.99/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.41 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 0.99/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.41 Z, X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 0.99/1.41 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 0.99/1.41 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 0.99/1.41 'tc_Complex_Ocomplex' ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.99/1.41 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.41 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.41 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 0.99/1.41 , Y ) ],
% 0.99/1.41 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 0.99/1.41 ,
% 0.99/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.41 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.41 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 0.99/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 0.99/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.99/1.42 Y ) ],
% 0.99/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.99/1.42 Y ) ],
% 0.99/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.99/1.42 Y ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.99/1.42 Y ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.99/1.42 Y ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.99/1.42 Y ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), hAPP(
% 0.99/1.42 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), Z ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.99/1.42 ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.99/1.42 ) ) ],
% 0.99/1.42 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 0.99/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.99/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 0.99/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 0.99/1.42 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 0.99/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 0.99/1.42 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.99/1.42 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.99/1.42 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.99/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.99/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.99/1.42 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.99/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.99/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.42 X ), Y ), Z ) ), T ) ) ],
% 0.99/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.99/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.99/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.42 X ), Y ), Z ) ), T ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.99/1.42 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.42 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.99/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.99/1.42 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.99/1.42 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 0.99/1.42 , X ) ), T ) ) ) ],
% 0.99/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 0.99/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.99/1.42 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 0.99/1.42 ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 0.99/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.99/1.42 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 0.99/1.42 'tc_nat' ) ) ],
% 0.99/1.42 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 0.99/1.42 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.99/1.42 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 0.99/1.42 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.99/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 0.99/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.42 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 0.99/1.42 , Y ) ) ],
% 0.99/1.42 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.99/1.42 , X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.42 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.42 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 0.99/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 0.99/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.42 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.42 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.99/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 0.99/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 0.99/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.99/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.99/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.42 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 0.99/1.42 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.99/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.99/1.42 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 0.99/1.42 'tc_nat' ) ) ],
% 0.99/1.42 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 0.99/1.42 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.99/1.42 [ ~( =( 'c_FFT__Mirabelle_OIDFT'( hAPP( hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( 'tc_nat' ),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ) ), 'v_a____', 'v_i____' ),
% 0.99/1.42 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ), hAPP(
% 0.99/1.42 'c_FFT__Mirabelle_OIFFT'( 'v_ka____', 'c_COMBB'( 'v_a____', hAPP(
% 0.99/1.42 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 0.99/1.42 ) ), 'v_i____' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 0.99/1.42 'tc_Complex_Ocomplex' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.42 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 0.99/1.42 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.99/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 0.99/1.42 'c_Power_Opower__class_Opower'( 'tc_nat' ),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.99/1.42 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_ka____' ) ) ), 'tc_Complex_Ocomplex' )
% 0.99/1.42 ), 'v_i____' ) ), hAPP( 'c_FFT__Mirabelle_OIFFT'( 'v_ka____', 'c_COMBB'(
% 0.99/1.42 'v_a____', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.42 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.99/1.42 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat',
% 0.99/1.42 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ) ), 'v_i____' ) )
% 0.99/1.42 ) ) ) ],
% 0.99/1.42 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.42 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.99/1.42 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.42 'class_Orderings_Opreorder'( Y ) ) ],
% 0.99/1.42 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.99/1.42 'class_Orderings_Oorder'( Y ) ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.99/1.42 ],
% 0.99/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.99/1.42 ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.99/1.42 ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.99/1.42 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.99/1.42 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.99/1.42 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.99/1.42 ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.99/1.42 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.99/1.42 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.99/1.42 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.99/1.42 ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.99/1.42 ],
% 0.99/1.42 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.99/1.42 ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.42 [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.99/1.42 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.99/1.42 ,
% 0.99/1.42 [ 'c_fequal'( X, X, Y ) ],
% 0.99/1.42 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.99/1.42 ] .
% 0.99/1.42
% 0.99/1.42
% 0.99/1.42 percentage equality = 0.288115, percentage horn = 0.860119
% 0.99/1.42 This is a problem with some equality
% 0.99/1.42
% 0.99/1.42
% 0.99/1.42
% 0.99/1.42 Options Used:
% 0.99/1.42
% 0.99/1.42 useres = 1
% 0.99/1.42 useparamod = 1
% 0.99/1.42 useeqrefl = 1
% 0.99/1.42 useeqfact = 1
% 0.99/1.42 usefactor = 1
% 0.99/1.42 usesimpsplitting = 0
% 0.99/1.42 usesimpdemod = 5
% 0.99/1.42 usesimpres = 3
% 0.99/1.42
% 0.99/1.42 resimpinuse = 1000
% 0.99/1.42 resimpclauses = 20000
% 0.99/1.42 substype = eqrewr
% 0.99/1.42 backwardsubs = 1
% 0.99/1.42 selectoldest = 5
% 0.99/1.42
% 0.99/1.42 litorderings [0] = split
% 0.99/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 0.99/1.42
% 0.99/1.42 termordering = kbo
% 0.99/1.42
% 0.99/1.42 litapriori = 0
% 0.99/1.42 termapriori = 1
% 0.99/1.42 litaposteriori = 0
% 0.99/1.42 termaposteriori = 0
% 0.99/1.42 demodaposteriori = 0
% 0.99/1.42 ordereqreflfact = 0
% 0.99/1.42
% 0.99/1.42 litselect = negord
% 0.99/1.42
% 0.99/1.42 maxweight = 15
% 0.99/1.42 maxdepth = 30000
% 0.99/1.42 maxlength = 115
% 0.99/1.42 maxnrvars = 195
% 0.99/1.42 excuselevel = 1
% 0.99/1.42 increasemaxweight = 1
% 0.99/1.42
% 0.99/1.42 maxselected = 10000000
% 0.99/1.42 maxnrclauses = 10000000
% 0.99/1.42
% 0.99/1.42 showgenerated = 0
% 0.99/1.42 showkept = 0
% 0.99/1.42 showselected = 0
% 0.99/1.42 showdeleted = 0
% 0.99/1.42 showresimp = 1
% 0.99/1.42 showstatus = 2000
% 0.99/1.42
% 0.99/1.42 prologoutput = 1
% 0.99/1.42 nrgoals = 5000000
% 0.99/1.42 totalproof = 1
% 0.99/1.42
% 0.99/1.42 Symbols occurring in the translation:
% 0.99/1.42
% 0.99/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.99/1.42 . [1, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.99/1.42 ! [4, 1] (w:0, o:68, a:1, s:1, b:0),
% 0.99/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.99/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.99/1.42 'class_Ring__and__Field_Oordered__field' [40, 1] (w:1, o:75, a:1, s:1
% 0.99/1.42 , b:0),
% 0.99/1.42 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:79, a:1
% 0.99/1.42 , s:1, b:0),
% 0.99/1.42 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.99/1.42 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.99/1.42 'c_HOL_Oinverse__class_Odivide' [46, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.99/1.42
% 0.99/1.42 'class_Ring__and__Field_Ocomm__semiring__1' [47, 1] (w:1, o:77, a:1
% 0.99/1.42 , s:1, b:0),
% 0.99/1.42 'c_HOL_Oplus__class_Oplus' [48, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.99/1.42 'c_HOL_Otimes__class_Otimes' [49, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.99/1.42 'c_Power_Opower__class_Opower' [50, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.99/1.42 'c_HOL_Oone__class_Oone' [51, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.99/1.42 'c_Groebner__Basis_Ogb__semiring' [52, 6] (w:1, o:171, a:1, s:1, b:0)
% 0.99/1.42 ,
% 0.99/1.42 'class_Ring__and__Field_Oordered__semidom' [53, 1] (w:1, o:86, a:1
% 0.99/1.42 , s:1, b:0),
% 0.99/1.42 hAPP [54, 2] (w:1, o:158, a:1, s:1, b:0),
% 0.99/1.42 'class_Ring__and__Field_Oordered__idom' [56, 1] (w:1, o:87, a:1, s:1
% 0.99/1.42 , b:0),
% 0.99/1.42 'class_Int_Onumber__ring' [58, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.99/1.42 'c_HOL_Ouminus__class_Ouminus' [59, 2] (w:1, o:159, a:1, s:1, b:0),
% 0.99/1.42 'class_Ring__and__Field_Oring' [60, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.99/1.42 'class_Int_Onumber' [61, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.99/1.42 'c_HOL_Ominus__class_Ominus' [62, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.99/1.42 'c_Int_Onumber__class_Onumber__of' [64, 2] (w:1, o:160, a:1, s:1, b:0
% 0.99/1.42 ),
% 0.99/1.42 'class_Ring__and__Field_Oordered__ring__strict' [66, 1] (w:1, o:85
% 0.99/1.42 , a:1, s:1, b:0),
% 0.99/1.42 'class_Ring__and__Field_Oidom' [70, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.99/1.42 'class_RealVector_Oreal__normed__algebra' [72, 1] (w:1, o:92, a:1, s:
% 0.99/1.42 1, b:0),
% 0.99/1.42 'class_OrderedGroup_Opordered__comm__monoid__add' [73, 1] (w:1, o:94
% 0.99/1.42 , a:1, s:1, b:0),
% 0.99/1.42 'class_OrderedGroup_Olordered__ab__group__add' [74, 1] (w:1, o:95, a:
% 0.99/1.42 1, s:1, b:0),
% 0.99/1.42 'class_Ring__and__Field_Oordered__semiring__strict' [75, 1] (w:1, o:
% 0.99/1.42 96, a:1, s:1, b:0),
% 0.99/1.42 'class_Ring__and__Field_Oordered__comm__semiring__strict' [76, 1] (w:
% 5.02/5.38 1, o:97, a:1, s:1, b:0),
% 5.02/5.38 'tc_nat' [77, 0] (w:1, o:34, a:1, s:1, b:0),
% 5.02/5.38 'c_FFT__Mirabelle_OIFFT' [78, 2] (w:1, o:161, a:1, s:1, b:0),
% 5.02/5.38 'class_Ring__and__Field_Osemiring__0' [79, 1] (w:1, o:101, a:1, s:1
% 5.02/5.38 , b:0),
% 5.02/5.38 'class_Power_Opower' [80, 1] (w:1, o:119, a:1, s:1, b:0),
% 5.02/5.38 'class_Ring__and__Field_Ofield' [82, 1] (w:1, o:120, a:1, s:1, b:0),
% 5.02/5.38
% 5.02/5.38 'c_Int_OMin' [83, 0] (w:1, o:35, a:1, s:1, b:0),
% 5.02/5.38 'c_Parity_Oeven__odd__class_Oeven' [84, 2] (w:1, o:162, a:1, s:1, b:0
% 5.02/5.38 ),
% 5.02/5.38 'class_OrderedGroup_Opordered__ab__group__add' [85, 1] (w:1, o:102
% 5.02/5.38 , a:1, s:1, b:0),
% 5.02/5.38 'class_OrderedGroup_Oab__group__add' [86, 1] (w:1, o:103, a:1, s:1
% 5.02/5.38 , b:0),
% 5.02/5.38 'class_OrderedGroup_Oordered__ab__group__add' [87, 1] (w:1, o:93, a:1
% 5.02/5.38 , s:1, b:0),
% 5.02/5.38 'class_OrderedGroup_Ogroup__add' [88, 1] (w:1, o:104, a:1, s:1, b:0)
% 5.02/5.38 ,
% 5.02/5.38 'class_Ring__and__Field_Ocomm__ring__1' [89, 1] (w:1, o:76, a:1, s:1
% 5.02/5.38 , b:0),
% 5.02/5.39 'c_Int_OPls' [97, 0] (w:1, o:42, a:1, s:1, b:0),
% 5.02/5.39 'c_Suc' [98, 0] (w:1, o:43, a:1, s:1, b:0),
% 5.02/5.39 'class_Ring__and__Field_Ozero__neq__one' [99, 1] (w:1, o:121, a:1, s:
% 5.02/5.39 1, b:0),
% 5.02/5.39 'class_Ring__and__Field_Ono__zero__divisors' [100, 1] (w:1, o:74, a:1
% 5.02/5.39 , s:1, b:0),
% 5.02/5.39 'class_Ring__and__Field_Omult__zero' [101, 1] (w:1, o:73, a:1, s:1
% 5.02/5.39 , b:0),
% 5.02/5.39 'c_FFT__Mirabelle_Oroot' [106, 1] (w:1, o:122, a:1, s:1, b:0),
% 5.02/5.39 'tc_Complex_Ocomplex' [107, 0] (w:1, o:48, a:1, s:1, b:0),
% 5.02/5.39 'class_Ring__and__Field_Opordered__ring' [108, 1] (w:1, o:123, a:1
% 5.02/5.39 , s:1, b:0),
% 5.02/5.39 'class_Lattices_Oboolean__algebra' [113, 1] (w:1, o:124, a:1, s:1, b:
% 5.02/5.39 0),
% 5.02/5.39 'class_Ring__and__Field_Oring__no__zero__divisors' [117, 1] (w:1, o:
% 5.02/5.39 98, a:1, s:1, b:0),
% 5.02/5.39 'class_RealVector_Oreal__field' [118, 1] (w:1, o:125, a:1, s:1, b:0)
% 5.02/5.39 ,
% 5.02/5.39 'c_Int_OBit0' [120, 1] (w:1, o:126, a:1, s:1, b:0),
% 5.02/5.39 'class_Ring__and__Field_Oring__1' [121, 1] (w:1, o:99, a:1, s:1, b:0)
% 5.02/5.39 ,
% 5.02/5.39 'c_Int_OBit1' [123, 1] (w:1, o:127, a:1, s:1, b:0),
% 5.02/5.39 'class_Ring__and__Field_Osemiring__1' [124, 1] (w:1, o:128, a:1, s:1
% 5.02/5.39 , b:0),
% 5.02/5.39 'c_Fun_Oinj__on' [126, 4] (w:1, o:169, a:1, s:1, b:0),
% 5.02/5.39 'class_OrderedGroup_Omonoid__add' [130, 1] (w:1, o:105, a:1, s:1, b:0
% 5.02/5.39 ),
% 5.02/5.39 'class_OrderedGroup_Ocomm__monoid__add' [131, 1] (w:1, o:106, a:1, s:
% 5.02/5.39 1, b:0),
% 5.02/5.39 'class_Ring__and__Field_Oring__1__no__zero__divisors' [134, 1] (w:1
% 5.02/5.39 , o:100, a:1, s:1, b:0),
% 5.02/5.39 'class_RealVector_Oreal__normed__field' [135, 1] (w:1, o:129, a:1, s:
% 5.02/5.39 1, b:0),
% 5.02/5.39 'c_COMBB' [137, 5] (w:1, o:170, a:1, s:1, b:0),
% 5.02/5.39 'class_Ring__and__Field_Ocomm__semiring' [138, 1] (w:1, o:78, a:1, s:
% 5.02/5.39 1, b:0),
% 5.02/5.39 'class_OrderedGroup_Ocancel__ab__semigroup__add' [139, 1] (w:1, o:107
% 5.02/5.39 , a:1, s:1, b:0),
% 5.02/5.39 'class_OrderedGroup_Ocancel__semigroup__add' [140, 1] (w:1, o:108, a:
% 5.02/5.39 1, s:1, b:0),
% 5.02/5.39 'class_OrderedGroup_Omonoid__mult' [141, 1] (w:1, o:109, a:1, s:1, b:
% 5.02/5.39 0),
% 5.02/5.39 'v_ka____' [142, 0] (w:1, o:54, a:1, s:1, b:0),
% 5.02/5.39 'c_FFT__Mirabelle_OIDFT' [143, 3] (w:1, o:167, a:1, s:1, b:0),
% 5.02/5.39 'class_Ring__and__Field_Osemiring' [146, 1] (w:1, o:130, a:1, s:1, b:
% 5.02/5.39 0),
% 5.02/5.39 'class_Orderings_Oorder' [147, 1] (w:1, o:110, a:1, s:1, b:0),
% 5.02/5.39 'class_Orderings_Olinorder' [148, 1] (w:1, o:111, a:1, s:1, b:0),
% 5.02/5.39 'class_Orderings_Opreorder' [149, 1] (w:1, o:112, a:1, s:1, b:0),
% 5.02/5.39 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [150, 1]
% 5.02/5.39 (w:1, o:113, a:1, s:1, b:0),
% 5.02/5.39 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [151, 1]
% 5.02/5.39 (w:1, o:114, a:1, s:1, b:0),
% 5.02/5.39 'v_i____' [152, 0] (w:1, o:56, a:1, s:1, b:0),
% 5.02/5.39 'class_OrderedGroup_Oab__semigroup__mult' [153, 1] (w:1, o:115, a:1
% 5.02/5.39 , s:1, b:0),
% 5.02/5.39 'class_OrderedGroup_Ocomm__monoid__mult' [154, 1] (w:1, o:116, a:1
% 5.02/5.39 , s:1, b:0),
% 5.02/5.39 'class_OrderedGroup_Oab__semigroup__idem__mult' [155, 1] (w:1, o:117
% 5.02/5.39 , a:1, s:1, b:0),
% 5.02/5.39 hBOOL [157, 1] (w:1, o:131, a:1, s:1, b:0),
% 5.02/5.39 'class_OrderedGroup_Oab__semigroup__add' [158, 1] (w:1, o:118, a:1
% 20.94/21.30 , s:1, b:0),
% 20.94/21.30 'class_Int_Oring__char__0' [163, 1] (w:1, o:132, a:1, s:1, b:0),
% 20.94/21.30 'v_a____' [164, 0] (w:1, o:62, a:1, s:1, b:0),
% 20.94/21.30 'tc_fun' [167, 2] (w:1, o:163, a:1, s:1, b:0),
% 20.94/21.30 'tc_Int_Oint' [168, 0] (w:1, o:65, a:1, s:1, b:0),
% 20.94/21.30 'c_COMBC' [169, 6] (w:1, o:172, a:1, s:1, b:0),
% 20.94/21.30 'c_fequal' [170, 3] (w:1, o:168, a:1, s:1, b:0).
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Starting Search:
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 5710
% 20.94/21.30 Kept: 2012
% 20.94/21.30 Inuse: 119
% 20.94/21.30 Deleted: 2
% 20.94/21.30 Deletedinuse: 0
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 11037
% 20.94/21.30 Kept: 4099
% 20.94/21.30 Inuse: 203
% 20.94/21.30 Deleted: 3
% 20.94/21.30 Deletedinuse: 0
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 16999
% 20.94/21.30 Kept: 6171
% 20.94/21.30 Inuse: 342
% 20.94/21.30 Deleted: 9
% 20.94/21.30 Deletedinuse: 0
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 22362
% 20.94/21.30 Kept: 8223
% 20.94/21.30 Inuse: 397
% 20.94/21.30 Deleted: 9
% 20.94/21.30 Deletedinuse: 0
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 29068
% 20.94/21.30 Kept: 10662
% 20.94/21.30 Inuse: 453
% 20.94/21.30 Deleted: 9
% 20.94/21.30 Deletedinuse: 0
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 35694
% 20.94/21.30 Kept: 12806
% 20.94/21.30 Inuse: 493
% 20.94/21.30 Deleted: 13
% 20.94/21.30 Deletedinuse: 0
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 56034
% 20.94/21.30 Kept: 14811
% 20.94/21.30 Inuse: 530
% 20.94/21.30 Deleted: 14
% 20.94/21.30 Deletedinuse: 0
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 67894
% 20.94/21.30 Kept: 17320
% 20.94/21.30 Inuse: 545
% 20.94/21.30 Deleted: 16
% 20.94/21.30 Deletedinuse: 0
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 78040
% 20.94/21.30 Kept: 19411
% 20.94/21.30 Inuse: 603
% 20.94/21.30 Deleted: 24
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying clauses:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 91888
% 20.94/21.30 Kept: 21736
% 20.94/21.30 Inuse: 633
% 20.94/21.30 Deleted: 288
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 101351
% 20.94/21.30 Kept: 23885
% 20.94/21.30 Inuse: 648
% 20.94/21.30 Deleted: 288
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 108168
% 20.94/21.30 Kept: 26212
% 20.94/21.30 Inuse: 678
% 20.94/21.30 Deleted: 288
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 116132
% 20.94/21.30 Kept: 28326
% 20.94/21.30 Inuse: 713
% 20.94/21.30 Deleted: 288
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 124749
% 20.94/21.30 Kept: 30331
% 20.94/21.30 Inuse: 743
% 20.94/21.30 Deleted: 288
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 135578
% 20.94/21.30 Kept: 32530
% 20.94/21.30 Inuse: 778
% 20.94/21.30 Deleted: 288
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 142548
% 20.94/21.30 Kept: 34718
% 20.94/21.30 Inuse: 798
% 20.94/21.30 Deleted: 288
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 151952
% 20.94/21.30 Kept: 37936
% 20.94/21.30 Inuse: 828
% 20.94/21.30 Deleted: 288
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 161574
% 20.94/21.30 Kept: 40247
% 20.94/21.30 Inuse: 838
% 20.94/21.30 Deleted: 288
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying clauses:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 173129
% 20.94/21.30 Kept: 42553
% 20.94/21.30 Inuse: 848
% 20.94/21.30 Deleted: 675
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 184559
% 20.94/21.30 Kept: 45499
% 20.94/21.30 Inuse: 853
% 20.94/21.30 Deleted: 675
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 197202
% 20.94/21.30 Kept: 49004
% 20.94/21.30 Inuse: 863
% 20.94/21.30 Deleted: 675
% 20.94/21.30 Deletedinuse: 1
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 20.94/21.30 Generated: 210491
% 20.94/21.30 Kept: 51797
% 20.94/21.30 Inuse: 893
% 20.94/21.30 Deleted: 676
% 20.94/21.30 Deletedinuse: 2
% 20.94/21.30
% 20.94/21.30 Resimplifying inuse:
% 20.94/21.30 Done
% 20.94/21.30
% 20.94/21.30
% 20.94/21.30 Intermediate Status:
% 77.09/77.48 Generated: 219120
% 77.09/77.48 Kept: 54893
% 77.09/77.48 Inuse: 908
% 77.09/77.48 Deleted: 676
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 229399
% 77.09/77.48 Kept: 59678
% 77.09/77.48 Inuse: 923
% 77.09/77.48 Deleted: 676
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying clauses:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 237302
% 77.09/77.48 Kept: 61727
% 77.09/77.48 Inuse: 929
% 77.09/77.48 Deleted: 1408
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 243575
% 77.09/77.48 Kept: 63731
% 77.09/77.48 Inuse: 958
% 77.09/77.48 Deleted: 1408
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 248805
% 77.09/77.48 Kept: 65738
% 77.09/77.48 Inuse: 984
% 77.09/77.48 Deleted: 1408
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 258462
% 77.09/77.48 Kept: 67743
% 77.09/77.48 Inuse: 1022
% 77.09/77.48 Deleted: 1408
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 281107
% 77.09/77.48 Kept: 70629
% 77.09/77.48 Inuse: 1048
% 77.09/77.48 Deleted: 1408
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 298901
% 77.09/77.48 Kept: 72938
% 77.09/77.48 Inuse: 1053
% 77.09/77.48 Deleted: 1408
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 322931
% 77.09/77.48 Kept: 76056
% 77.09/77.48 Inuse: 1058
% 77.09/77.48 Deleted: 1408
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 333175
% 77.09/77.48 Kept: 78471
% 77.09/77.48 Inuse: 1083
% 77.09/77.48 Deleted: 1408
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 349344
% 77.09/77.48 Kept: 81796
% 77.09/77.48 Inuse: 1103
% 77.09/77.48 Deleted: 1408
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying clauses:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 386155
% 77.09/77.48 Kept: 85497
% 77.09/77.48 Inuse: 1118
% 77.09/77.48 Deleted: 1608
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 395215
% 77.09/77.48 Kept: 87504
% 77.09/77.48 Inuse: 1146
% 77.09/77.48 Deleted: 1608
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 414858
% 77.09/77.48 Kept: 90166
% 77.09/77.48 Inuse: 1148
% 77.09/77.48 Deleted: 1608
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 429253
% 77.09/77.48 Kept: 92535
% 77.09/77.48 Inuse: 1153
% 77.09/77.48 Deleted: 1608
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 437383
% 77.09/77.48 Kept: 94578
% 77.09/77.48 Inuse: 1173
% 77.09/77.48 Deleted: 1608
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 447537
% 77.09/77.48 Kept: 96916
% 77.09/77.48 Inuse: 1193
% 77.09/77.48 Deleted: 1608
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 466628
% 77.09/77.48 Kept: 100114
% 77.09/77.48 Inuse: 1233
% 77.09/77.48 Deleted: 1608
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying clauses:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 477847
% 77.09/77.48 Kept: 102220
% 77.09/77.48 Inuse: 1248
% 77.09/77.48 Deleted: 1880
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 488082
% 77.09/77.48 Kept: 104240
% 77.09/77.48 Inuse: 1262
% 77.09/77.48 Deleted: 1880
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 499913
% 77.09/77.48 Kept: 106457
% 77.09/77.48 Inuse: 1293
% 77.09/77.48 Deleted: 1880
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 510409
% 77.09/77.48 Kept: 108621
% 77.09/77.48 Inuse: 1303
% 77.09/77.48 Deleted: 1880
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 518773
% 77.09/77.48 Kept: 110727
% 77.09/77.48 Inuse: 1328
% 77.09/77.48 Deleted: 1880
% 77.09/77.48 Deletedinuse: 2
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 552531
% 77.09/77.48 Kept: 114266
% 77.09/77.48 Inuse: 1333
% 77.09/77.48 Deleted: 1883
% 77.09/77.48 Deletedinuse: 5
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 563407
% 77.09/77.48 Kept: 116272
% 77.09/77.48 Inuse: 1361
% 77.09/77.48 Deleted: 1883
% 77.09/77.48 Deletedinuse: 5
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48 Resimplifying inuse:
% 77.09/77.48 Done
% 77.09/77.48
% 77.09/77.48
% 77.09/77.48 Intermediate Status:
% 77.09/77.48 Generated: 576704
% 77.09/77.48 Kept: 119220
% 77.09/77.48 Inuse: 1378
% 191.01/191.47 Deleted: 1883
% 191.01/191.47 Deletedinuse: 5
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 594066
% 191.01/191.47 Kept: 125111
% 191.01/191.47 Inuse: 1388
% 191.01/191.47 Deleted: 1883
% 191.01/191.47 Deletedinuse: 5
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying clauses:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 610425
% 191.01/191.47 Kept: 127126
% 191.01/191.47 Inuse: 1436
% 191.01/191.47 Deleted: 2840
% 191.01/191.47 Deletedinuse: 12
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 654568
% 191.01/191.47 Kept: 131327
% 191.01/191.47 Inuse: 1458
% 191.01/191.47 Deleted: 2840
% 191.01/191.47 Deletedinuse: 12
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 692188
% 191.01/191.47 Kept: 134276
% 191.01/191.47 Inuse: 1463
% 191.01/191.47 Deleted: 2841
% 191.01/191.47 Deletedinuse: 13
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 700604
% 191.01/191.47 Kept: 136364
% 191.01/191.47 Inuse: 1478
% 191.01/191.47 Deleted: 2841
% 191.01/191.47 Deletedinuse: 13
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 729309
% 191.01/191.47 Kept: 139341
% 191.01/191.47 Inuse: 1483
% 191.01/191.47 Deleted: 2841
% 191.01/191.47 Deletedinuse: 13
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 739343
% 191.01/191.47 Kept: 141390
% 191.01/191.47 Inuse: 1508
% 191.01/191.47 Deleted: 2841
% 191.01/191.47 Deletedinuse: 13
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 748093
% 191.01/191.47 Kept: 143487
% 191.01/191.47 Inuse: 1523
% 191.01/191.47 Deleted: 2841
% 191.01/191.47 Deletedinuse: 13
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying clauses:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 759385
% 191.01/191.47 Kept: 145700
% 191.01/191.47 Inuse: 1548
% 191.01/191.47 Deleted: 3249
% 191.01/191.47 Deletedinuse: 13
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 768072
% 191.01/191.47 Kept: 148267
% 191.01/191.47 Inuse: 1568
% 191.01/191.47 Deleted: 3249
% 191.01/191.47 Deletedinuse: 13
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 788951
% 191.01/191.47 Kept: 150924
% 191.01/191.47 Inuse: 1583
% 191.01/191.47 Deleted: 3249
% 191.01/191.47 Deletedinuse: 13
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 822567
% 191.01/191.47 Kept: 154283
% 191.01/191.47 Inuse: 1593
% 191.01/191.47 Deleted: 3250
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 842192
% 191.01/191.47 Kept: 156347
% 191.01/191.47 Inuse: 1603
% 191.01/191.47 Deleted: 3250
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 854215
% 191.01/191.47 Kept: 158556
% 191.01/191.47 Inuse: 1608
% 191.01/191.47 Deleted: 3250
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 872899
% 191.01/191.47 Kept: 163234
% 191.01/191.47 Inuse: 1613
% 191.01/191.47 Deleted: 3250
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 882419
% 191.01/191.47 Kept: 165315
% 191.01/191.47 Inuse: 1628
% 191.01/191.47 Deleted: 3250
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying clauses:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 903014
% 191.01/191.47 Kept: 170966
% 191.01/191.47 Inuse: 1633
% 191.01/191.47 Deleted: 3445
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 969148
% 191.01/191.47 Kept: 175920
% 191.01/191.47 Inuse: 1638
% 191.01/191.47 Deleted: 3445
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 987046
% 191.01/191.47 Kept: 179134
% 191.01/191.47 Inuse: 1643
% 191.01/191.47 Deleted: 3445
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 997247
% 191.01/191.47 Kept: 181785
% 191.01/191.47 Inuse: 1653
% 191.01/191.47 Deleted: 3445
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 1006878
% 191.01/191.47 Kept: 184242
% 191.01/191.47 Inuse: 1668
% 191.01/191.47 Deleted: 3445
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying clauses:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 1026817
% 191.01/191.47 Kept: 186265
% 191.01/191.47 Inuse: 1675
% 191.01/191.47 Deleted: 3525
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 1034748
% 191.01/191.47 Kept: 188412
% 191.01/191.47 Inuse: 1688
% 191.01/191.47 Deleted: 3525
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated: 1043068
% 191.01/191.47 Kept: 190635
% 191.01/191.47 Inuse: 1703
% 191.01/191.47 Deleted: 3525
% 191.01/191.47 Deletedinuse: 14
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47 Resimplifying inuse:
% 191.01/191.47 Done
% 191.01/191.47
% 191.01/191.47
% 191.01/191.47 Intermediate Status:
% 191.01/191.47 Generated:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------