TSTP Solution File: ALG425-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG425-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 : Thu Jul 14 12:10:53 EDT 2022
% Result : Timeout 300.03s 300.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG425-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 8 19:03:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.91/1.31 *** allocated 10000 integers for termspace/termends
% 0.91/1.31 *** allocated 10000 integers for clauses
% 0.91/1.31 *** allocated 10000 integers for justifications
% 0.91/1.31 *** allocated 15000 integers for termspace/termends
% 0.91/1.31 *** allocated 22500 integers for termspace/termends
% 0.91/1.31 Bliksem 1.12
% 0.91/1.31
% 0.91/1.31
% 0.91/1.31 Automatic Strategy Selection
% 0.91/1.31
% 0.91/1.31 Clauses:
% 0.91/1.31 [
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.31 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.91/1.31 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.31 Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.91/1.31 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.91/1.31 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.91/1.31 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 0.91/1.31 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.91/1.31 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.31 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.31 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.91/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.91/1.31 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.91/1.31 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.31 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.31 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.91/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.91/1.31 X ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31 ), =( Z, Y ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.91/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.91/1.31 , X ) ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.91/1.31 , X ) ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.91/1.31 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 'c_Divides_Odiv__class_Odiv'( Y
% 0.91/1.31 , T, 'tc_Polynomial_Opoly'( X ) ), X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.91/1.31 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.91/1.31 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.31 , X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.91/1.31 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.91/1.31 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.31 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.91/1.31 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.91/1.31 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.31 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.31 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.31 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.31 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( =( 'c_Polynomial_Opoly'( 'v_pa____', X, 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.91/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.91/1.31 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.91/1.31 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.91/1.31 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.31 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.91/1.31 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.91/1.31 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.31 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.31 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.31 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.91/1.31 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.91/1.31 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.91/1.31 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.91/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.31 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.31 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.31 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.91/1.31 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.91/1.31 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.31 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.91/1.31 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.91/1.31 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.31 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.31 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.91/1.31 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.91/1.31 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.31 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.91/1.31 X ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.31 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.91/1.31 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.31 Y, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31 , X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.91/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.91/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.91/1.31 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 Y, T, X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 Y, T, X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.91/1.32 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.32 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.32 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.32 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.91/1.32 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.32 Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.32 Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.32 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.32 , X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.32 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.91/1.32 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.32 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.91/1.32 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.91/1.32 ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.91/1.32 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.32 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.91/1.32 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.91/1.32 , X, 'tc_nat' ), X ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.91/1.32 ), 'tc_nat' ), X ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.91/1.32 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.91/1.32 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 ) ],
% 0.91/1.32 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.32 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.91/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.32 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.91/1.32 ), Y ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.91/1.32 ), X ), Y ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.91/1.32 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.91/1.32 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.32 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.91/1.32 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.32 , T, X ) ) ), =( Z, T ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.32 , T, X ) ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 Y, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.32 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.32 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.91/1.32 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.91/1.32 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.91/1.32 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.32 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.91/1.32 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.32 , U, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.91/1.32 X ) ) ), =( Z, T ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.91/1.32 X ) ) ), =( Z, T ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.91/1.32 X ) ) ), =( Y, T ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.91/1.32 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.91/1.32 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.91/1.32 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.32 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.91/1.32 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.91/1.32 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.91/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.91/1.32 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.91/1.32 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.91/1.32 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.32 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.32 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.91/1.32 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.91/1.32 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.91/1.32 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.91/1.32 , X ), W, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'( Y, X ),
% 0.91/1.32 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.91/1.32 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.91/1.32 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.91/1.32 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.91/1.32 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.32 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , Z, X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.32 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , Z, X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.32 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.91/1.32 ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.91/1.32 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.91/1.32 ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , T, X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , T, X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.32 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.91/1.32 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.91/1.32 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.91/1.32 W, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.91/1.32 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.91/1.32 , X ), T, X ), W, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.91/1.32 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.91/1.32 W, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.91/1.32 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.91/1.32 , X ), W, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.91/1.32 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.91/1.32 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.91/1.32 Z, X ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.32 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.32 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.91/1.32 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.32 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.91/1.32 , T ), =( X, Z ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.91/1.32 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.91/1.32 , T ), =( X, Z ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.32 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.32 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.32 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.32 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.91/1.32 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.91/1.32 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.32 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.91/1.32 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.91/1.32 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.91/1.32 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 0.91/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.91/1.32 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.91/1.32 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.91/1.32 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.32 ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ), 'tc_nat' ), X ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.32 , X, 'tc_nat' ), X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.91/1.32 ), Y ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.91/1.32 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.91/1.32 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.32 ), Y ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.32 ), Y ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.32 ), Y ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.32 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.91/1.32 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.91/1.32 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.91/1.32 X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.91/1.32 , T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.91/1.32 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 Y, Y, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.91/1.32 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.32 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.32 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.91/1.32 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.32 Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.32 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.91/1.32 ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.91/1.32 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.32 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.91/1.32 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.91/1.32 X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.32 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.91/1.32 ), Y, X ) ), =( Z, T ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.32 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.32 Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.32 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.91/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.91/1.32 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.32 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.32 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.91/1.32 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.91/1.32 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.91/1.32 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.32 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.91/1.32 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.91/1.32 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.32 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.91/1.32 , X ), X ), Y ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.32 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.32 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.91/1.32 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.91/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.91/1.32 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.91/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.91/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.32 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.32 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.32 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.32 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.91/1.32 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.91/1.32 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.91/1.32 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.91/1.32 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.91/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.91/1.32 , X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.91/1.32 , X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.91/1.32 X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.32 , Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.32 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.91/1.32 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.32 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.91/1.32 , X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , Y, X ), X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , Z, X ), X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.32 , Z, X ), X ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.32 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.91/1.32 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.91/1.32 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.91/1.32 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.32 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.32 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.32 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 Y, T, X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.91/1.32 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.91/1.32 ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.91/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.91/1.32 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.32 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.32 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.91/1.32 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.91/1.32 X ), Y ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.91/1.32 X ), Y ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.32 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.32 Y, X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.91/1.32 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.32 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.32 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.32 Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.91/1.32 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 Z, T, 'tc_nat' ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.32 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.91/1.32 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.91/1.32 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) ), T
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( T, Y
% 0.91/1.32 , X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.91/1.32 'c_Polynomial_Omonom'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_nat' ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.32 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.91/1.32 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( =( 'v_pa____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.91/1.32 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.91/1.32 [ ~( =( 'v_na____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_Polynomial_Opoly'( 'v_pa____', X, 'tc_Complex_Ocomplex' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.91/1.32 'c_Polynomial_Opoly'( 'v_qa____', X, 'tc_Complex_Ocomplex' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.32 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.32 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.91/1.32 'tc_nat' ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.32 ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.32 Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.32 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.32 ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.91/1.32 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.32 Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( =( 'c_Polynomial_Opoly'( 'v_pa____', X, 'tc_Complex_Ocomplex' ),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ),
% 0.91/1.32 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_pa____',
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'v_qa____', 'v_na____',
% 0.91/1.32 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Polynomial_Opoly'(
% 0.91/1.32 'tc_Complex_Ocomplex' ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_Polynomial_Opoly'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.32 'c_Polynomial_Opoly'( Y, T, X ), Z, X ) ) ],
% 0.91/1.32 [ =( 'c_Polynomial_Odegree'( 'v_pa____', 'tc_Complex_Ocomplex' ),
% 0.91/1.32 'v_na____' ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.32 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.91/1.32 Y, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.32 T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.32 X ), T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.32 T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.32 X ), Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.32 T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.32 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.32 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.32 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.32 , Y, X ) ) ],
% 0.91/1.32 [ =( 'c_Power_Opower__class_Opower'( 'v_qa____', 'v_na____',
% 0.91/1.32 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'v_pa____', 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.32 'c_Polynomial_OpCons'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.32 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_c____',
% 0.91/1.32 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.32 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.91/1.32 , 'c_Power_Opower__class_Opower'( 'v_qa____', 'v_na____',
% 0.91/1.32 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Polynomial_Opoly'(
% 0.91/1.32 'tc_Complex_Ocomplex' ) ), 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ ~( =( 'c_Power_Opower__class_Opower'( 'v_qa____', 'v_na____',
% 0.91/1.32 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes'( 'v_pa____', X, 'tc_Polynomial_Opoly'(
% 0.91/1.32 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.91/1.32 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.91/1.32 ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.91/1.32 ],
% 0.91/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.91/1.32 ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.91/1.32 ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.91/1.32 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.91/1.32 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.91/1.32 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.91/1.32 ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.91/1.32 ],
% 0.91/1.32 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.91/1.32 ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.91/1.32 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.91/1.32 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.91/1.32 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.91/1.32 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.91/1.32 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.91/1.32 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.91/1.32 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.91/1.32 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.91/1.32 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.91/1.32 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.91/1.32 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.91/1.32 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.91/1.32 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.91/1.32 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.91/1.32 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.91/1.32 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.91/1.32 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.91/1.32 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.91/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.91/1.32 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.91/1.32 X ) ) ]
% 0.91/1.32 ] .
% 0.91/1.32
% 0.91/1.32
% 0.91/1.32 percentage equality = 0.311536, percentage horn = 0.845090
% 0.91/1.32 This is a problem with some equality
% 0.91/1.32
% 0.91/1.32
% 0.91/1.32
% 0.91/1.32 Options Used:
% 0.91/1.32
% 0.91/1.32 useres = 1
% 0.91/1.32 useparamod = 1
% 0.91/1.32 useeqrefl = 1
% 0.91/1.32 useeqfact = 1
% 0.91/1.32 usefactor = 1
% 0.91/1.32 usesimpsplitting = 0
% 0.91/1.32 usesimpdemod = 5
% 0.91/1.32 usesimpres = 3
% 0.91/1.32
% 0.91/1.32 resimpinuse = 1000
% 0.91/1.32 resimpclauses = 20000
% 0.91/1.32 substype = eqrewr
% 0.91/1.32 backwardsubs = 1
% 0.91/1.32 selectoldest = 5
% 0.91/1.32
% 0.91/1.32 litorderings [0] = split
% 0.91/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.91/1.32
% 0.91/1.32 termordering = kbo
% 0.91/1.32
% 0.91/1.32 litapriori = 0
% 0.91/1.32 termapriori = 1
% 0.91/1.32 litaposteriori = 0
% 0.91/1.32 termaposteriori = 0
% 0.91/1.32 demodaposteriori = 0
% 0.91/1.32 ordereqreflfact = 0
% 0.91/1.32
% 0.91/1.32 litselect = negord
% 0.91/1.32
% 0.91/1.32 maxweight = 15
% 0.91/1.32 maxdepth = 30000
% 0.91/1.32 maxlength = 115
% 0.91/1.32 maxnrvars = 195
% 0.91/1.32 excuselevel = 1
% 0.91/1.32 increasemaxweight = 1
% 0.91/1.32
% 0.91/1.32 maxselected = 10000000
% 0.91/1.32 maxnrclauses = 10000000
% 0.91/1.32
% 0.91/1.32 showgenerated = 0
% 0.91/1.32 showkept = 0
% 0.91/1.32 showselected = 0
% 0.91/1.32 showdeleted = 0
% 0.91/1.32 showresimp = 1
% 0.91/1.32 showstatus = 2000
% 0.91/1.32
% 0.91/1.32 prologoutput = 1
% 0.91/1.32 nrgoals = 5000000
% 0.91/1.32 totalproof = 1
% 0.91/1.32
% 0.91/1.32 Symbols occurring in the translation:
% 0.91/1.32
% 0.91/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.91/1.32 . [1, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.91/1.32 ! [4, 1] (w:0, o:51, a:1, s:1, b:0),
% 0.91/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.32 'class_Ring__and__Field_Oordered__idom' [40, 1] (w:1, o:58, a:1, s:1
% 0.91/1.32 , b:0),
% 0.91/1.32 'tc_Polynomial_Opoly' [43, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.91/1.32 'c_HOL_Oplus__class_Oplus' [44, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.91/1.32 'c_Polynomial_Opos__poly' [45, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.91/1.32 'class_Ring__and__Field_Oordered__field' [46, 1] (w:1, o:60, a:1, s:1
% 0.91/1.32 , b:0),
% 0.91/1.32 'c_HOL_Oinverse__class_Odivide' [50, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.91/1.32
% 0.91/1.32 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.91/1.32 'c_HOL_Otimes__class_Otimes' [52, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.91/1.32 'c_HOL_Ozero__class_Ozero' [53, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.91/1.32 'class_Ring__and__Field_Odivision__by__zero' [54, 1] (w:1, o:67, a:1
% 0.91/1.32 , s:1, b:0),
% 0.91/1.32 'class_Ring__and__Field_Odivision__ring' [58, 1] (w:1, o:68, a:1, s:1
% 0.91/1.32 , b:0),
% 0.91/1.32 'c_HOL_Oone__class_Oone' [59, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.91/1.32 'c_HOL_Oinverse__class_Oinverse' [60, 2] (w:1, o:145, a:1, s:1, b:0)
% 0.91/1.32 ,
% 0.91/1.32 'c_Suc' [62, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.91/1.32 'class_Ring__and__Field_Oordered__ring__strict' [63, 1] (w:1, o:71
% 0.91/1.32 , a:1, s:1, b:0),
% 0.91/1.32 'class_Ring__and__Field_Oidom' [64, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.91/1.32 'class_Int_Onumber__ring' [65, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.91/1.32 'tc_nat' [68, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.91/1.32 'class_Ring__and__Field_Ofield' [69, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.91/1.32 'class_RealVector_Oreal__normed__field' [70, 1] (w:1, o:76, a:1, s:1
% 0.91/1.32 , b:0),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus' [71, 3] (w:1, o:153, a:1, s:1, b:0),
% 5.50/5.89 'c_HOL_Ouminus__class_Ouminus' [73, 2] (w:1, o:146, a:1, s:1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Oordered__semidom' [75, 1] (w:1, o:77, a:1
% 5.50/5.89 , s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Ogroup__add' [76, 1] (w:1, o:78, a:1, s:1, b:0),
% 5.50/5.89
% 5.50/5.89 'class_Ring__and__Field_Oordered__semiring__strict' [77, 1] (w:1, o:
% 5.50/5.89 79, a:1, s:1, b:0),
% 5.50/5.89 'class_Divides_Osemiring__div' [78, 1] (w:1, o:81, a:1, s:1, b:0),
% 5.50/5.89 'c_Divides_Odiv__class_Omod' [79, 3] (w:1, o:154, a:1, s:1, b:0),
% 5.50/5.89 'c_HOL_Oabs__class_Oabs' [80, 2] (w:1, o:147, a:1, s:1, b:0),
% 5.50/5.89 'c_Divides_Odiv__class_Odiv' [81, 3] (w:1, o:155, a:1, s:1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Osemiring__0' [82, 1] (w:1, o:86, a:1, s:1
% 5.50/5.89 , b:0),
% 5.50/5.89 'class_Power_Opower' [83, 1] (w:1, o:109, a:1, s:1, b:0),
% 5.50/5.89 'c_Power_Opower__class_Opower' [84, 3] (w:1, o:156, a:1, s:1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Ozero__neq__one' [85, 1] (w:1, o:110, a:1, s:
% 5.50/5.89 1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Ono__zero__divisors' [86, 1] (w:1, o:57, a:1
% 5.50/5.89 , s:1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Omult__zero' [87, 1] (w:1, o:56, a:1, s:1, b:
% 5.50/5.89 0),
% 5.50/5.89 'class_Ring__and__Field_Ocomm__semiring__1' [88, 1] (w:1, o:65, a:1
% 5.50/5.89 , s:1, b:0),
% 5.50/5.89 'c_Ring__and__Field_Odvd__class_Odvd' [89, 3] (w:1, o:157, a:1, s:1
% 5.50/5.89 , b:0),
% 5.50/5.89 'class_Orderings_Olinorder' [91, 1] (w:1, o:87, a:1, s:1, b:0),
% 5.50/5.89 'class_Lattices_Oboolean__algebra' [92, 1] (w:1, o:111, a:1, s:1, b:0
% 5.50/5.89 ),
% 5.50/5.89 'c_Polynomial_Osmult' [93, 3] (w:1, o:158, a:1, s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Opordered__ab__group__add' [94, 1] (w:1, o:89, a:
% 5.50/5.89 1, s:1, b:0),
% 5.50/5.89 'c_Polynomial_Odegree' [95, 2] (w:1, o:148, a:1, s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Olordered__ab__group__add' [96, 1] (w:1, o:90, a:
% 5.50/5.89 1, s:1, b:0),
% 5.50/5.89 'v_pa____' [98, 0] (w:1, o:34, a:1, s:1, b:0),
% 5.50/5.89 'tc_Complex_Ocomplex' [99, 0] (w:1, o:35, a:1, s:1, b:0),
% 5.50/5.89 'c_Polynomial_Opoly' [100, 3] (w:1, o:159, a:1, s:1, b:0),
% 5.50/5.89 'class_HOL_Ozero' [101, 1] (w:1, o:73, a:1, s:1, b:0),
% 5.50/5.89 'c_Polynomial_Omonom' [102, 3] (w:1, o:160, a:1, s:1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Odvd' [106, 1] (w:1, o:112, a:1, s:1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Ocomm__ring' [107, 1] (w:1, o:62, a:1, s:1
% 5.50/5.89 , b:0),
% 5.50/5.89 'class_Divides_Oring__div' [110, 1] (w:1, o:80, a:1, s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Opordered__ab__group__add__abs' [111, 1] (w:1, o:
% 5.50/5.89 91, a:1, s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Oordered__ab__group__add' [112, 1] (w:1, o:88, a:
% 5.50/5.89 1, s:1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Ocomm__semiring__0' [113, 1] (w:1, o:64, a:1
% 5.50/5.89 , s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Oab__group__add' [114, 1] (w:1, o:92, a:1, s:1
% 5.50/5.89 , b:0),
% 5.50/5.89 'class_Ring__and__Field_Ocomm__ring__1' [115, 1] (w:1, o:63, a:1, s:1
% 5.50/5.89 , b:0),
% 5.50/5.89 'class_OrderedGroup_Ocomm__monoid__add' [116, 1] (w:1, o:93, a:1, s:1
% 5.50/5.89 , b:0),
% 5.50/5.89 'class_Ring__and__Field_Oabs__if' [117, 1] (w:1, o:113, a:1, s:1, b:0
% 5.50/5.89 ),
% 5.50/5.89 'class_OrderedGroup_Olordered__ab__group__add__abs' [118, 1] (w:1, o:
% 5.50/5.89 94, a:1, s:1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Oring' [119, 1] (w:1, o:82, a:1, s:1, b:0),
% 5.50/5.89 'class_Orderings_Oorder' [122, 1] (w:1, o:95, a:1, s:1, b:0),
% 5.50/5.89 'class_Orderings_Opreorder' [123, 1] (w:1, o:96, a:1, s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Oab__semigroup__add' [124, 1] (w:1, o:97, a:1, s:
% 5.50/5.89 1, b:0),
% 5.50/5.89 'class_RealVector_Oreal__normed__algebra' [126, 1] (w:1, o:114, a:1
% 5.50/5.89 , s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Opordered__comm__monoid__add' [130, 1] (w:1, o:98
% 5.50/5.89 , a:1, s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Ocancel__ab__semigroup__add' [131, 1] (w:1, o:99
% 5.50/5.89 , a:1, s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Ocancel__semigroup__add' [132, 1] (w:1, o:100, a:
% 5.50/5.89 1, s:1, b:0),
% 5.50/5.89 'class_RealVector_Oreal__field' [133, 1] (w:1, o:115, a:1, s:1, b:0)
% 5.50/5.89 ,
% 5.50/5.89 'class_Ring__and__Field_Opordered__ring' [136, 1] (w:1, o:117, a:1
% 5.50/5.89 , s:1, b:0),
% 5.50/5.89 'class_Ring__and__Field_Oordered__comm__semiring__strict' [138, 1]
% 5.50/5.89 (w:1, o:116, a:1, s:1, b:0),
% 5.50/5.89 'class_OrderedGroup_Omonoid__add' [139, 1] (w:1, o:101, a:1, s:1, b:0
% 5.50/5.89 ),
% 5.50/5.89 'class_Ring__and__Field_Oring__no__zero__divisors' [140, 1] (w:1, o:
% 29.26/29.64 83, a:1, s:1, b:0),
% 29.26/29.64 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [141, 1]
% 29.26/29.64 (w:1, o:102, a:1, s:1, b:0),
% 29.26/29.64 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [142, 1]
% 29.26/29.64 (w:1, o:103, a:1, s:1, b:0),
% 29.26/29.64 'class_Ring__and__Field_Ocomm__semiring' [144, 1] (w:1, o:66, a:1, s:
% 29.26/29.64 1, b:0),
% 29.26/29.64 'class_OrderedGroup_Omonoid__mult' [145, 1] (w:1, o:104, a:1, s:1, b:
% 29.26/29.64 0),
% 29.26/29.64 'class_OrderedGroup_Ocomm__monoid__mult' [146, 1] (w:1, o:105, a:1
% 29.26/29.64 , s:1, b:0),
% 29.26/29.64 'class_Ring__and__Field_Osemiring' [147, 1] (w:1, o:118, a:1, s:1, b:
% 29.26/29.64 0),
% 29.26/29.64 'class_Ring__and__Field_Oring__1' [148, 1] (w:1, o:84, a:1, s:1, b:0)
% 29.26/29.64 ,
% 29.26/29.64 'class_Ring__and__Field_Oring__1__no__zero__divisors' [149, 1] (w:1
% 29.26/29.64 , o:85, a:1, s:1, b:0),
% 29.26/29.64 'v_na____' [150, 0] (w:1, o:45, a:1, s:1, b:0),
% 29.26/29.64 'v_qa____' [151, 0] (w:1, o:46, a:1, s:1, b:0),
% 29.26/29.64 'class_OrderedGroup_Oab__semigroup__mult' [156, 1] (w:1, o:106, a:1
% 29.26/29.64 , s:1, b:0),
% 29.26/29.64 'class_OrderedGroup_Oab__semigroup__idem__mult' [157, 1] (w:1, o:107
% 29.26/29.64 , a:1, s:1, b:0),
% 29.26/29.64 'v_c____' [158, 0] (w:1, o:49, a:1, s:1, b:0),
% 29.26/29.64 'c_Polynomial_OpCons' [159, 3] (w:1, o:161, a:1, s:1, b:0),
% 29.26/29.64 'class_OrderedGroup_Ocancel__comm__monoid__add' [161, 1] (w:1, o:108
% 29.26/29.64 , a:1, s:1, b:0).
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Starting Search:
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 8125
% 29.26/29.64 Kept: 2008
% 29.26/29.64 Inuse: 75
% 29.26/29.64 Deleted: 0
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 16892
% 29.26/29.64 Kept: 4299
% 29.26/29.64 Inuse: 189
% 29.26/29.64 Deleted: 2
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 24546
% 29.26/29.64 Kept: 6418
% 29.26/29.64 Inuse: 218
% 29.26/29.64 Deleted: 3
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 31023
% 29.26/29.64 Kept: 8454
% 29.26/29.64 Inuse: 282
% 29.26/29.64 Deleted: 4
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 41860
% 29.26/29.64 Kept: 10488
% 29.26/29.64 Inuse: 327
% 29.26/29.64 Deleted: 4
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 49456
% 29.26/29.64 Kept: 12602
% 29.26/29.64 Inuse: 362
% 29.26/29.64 Deleted: 4
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 71943
% 29.26/29.64 Kept: 14660
% 29.26/29.64 Inuse: 386
% 29.26/29.64 Deleted: 5
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 89360
% 29.26/29.64 Kept: 17387
% 29.26/29.64 Inuse: 449
% 29.26/29.64 Deleted: 7
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 101512
% 29.26/29.64 Kept: 19464
% 29.26/29.64 Inuse: 499
% 29.26/29.64 Deleted: 7
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying clauses:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 112798
% 29.26/29.64 Kept: 22023
% 29.26/29.64 Inuse: 529
% 29.26/29.64 Deleted: 105
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 136770
% 29.26/29.64 Kept: 24846
% 29.26/29.64 Inuse: 554
% 29.26/29.64 Deleted: 105
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 148513
% 29.26/29.64 Kept: 27158
% 29.26/29.64 Inuse: 574
% 29.26/29.64 Deleted: 105
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 161166
% 29.26/29.64 Kept: 29290
% 29.26/29.64 Inuse: 599
% 29.26/29.64 Deleted: 105
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 172886
% 29.26/29.64 Kept: 31308
% 29.26/29.64 Inuse: 634
% 29.26/29.64 Deleted: 105
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 186754
% 29.26/29.64 Kept: 33352
% 29.26/29.64 Inuse: 674
% 29.26/29.64 Deleted: 105
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 206281
% 29.26/29.64 Kept: 35642
% 29.26/29.64 Inuse: 694
% 29.26/29.64 Deleted: 105
% 29.26/29.64 Deletedinuse: 0
% 29.26/29.64
% 29.26/29.64 Resimplifying inuse:
% 29.26/29.64 Done
% 29.26/29.64
% 29.26/29.64
% 29.26/29.64 Intermediate Status:
% 29.26/29.64 Generated: 235061
% 29.26/29.64 Kept: 38156
% 29.26/29.64 Inuse: 719
% 108.00/108.40 Deleted: 105
% 108.00/108.40 Deletedinuse: 0
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying clauses:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 252271
% 108.00/108.40 Kept: 40251
% 108.00/108.40 Inuse: 779
% 108.00/108.40 Deleted: 187
% 108.00/108.40 Deletedinuse: 0
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 257515
% 108.00/108.40 Kept: 42277
% 108.00/108.40 Inuse: 784
% 108.00/108.40 Deleted: 187
% 108.00/108.40 Deletedinuse: 0
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 264494
% 108.00/108.40 Kept: 44380
% 108.00/108.40 Inuse: 788
% 108.00/108.40 Deleted: 188
% 108.00/108.40 Deletedinuse: 0
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 276080
% 108.00/108.40 Kept: 46408
% 108.00/108.40 Inuse: 824
% 108.00/108.40 Deleted: 198
% 108.00/108.40 Deletedinuse: 1
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 286413
% 108.00/108.40 Kept: 49632
% 108.00/108.40 Inuse: 834
% 108.00/108.40 Deleted: 198
% 108.00/108.40 Deletedinuse: 1
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 300760
% 108.00/108.40 Kept: 51728
% 108.00/108.40 Inuse: 884
% 108.00/108.40 Deleted: 198
% 108.00/108.40 Deletedinuse: 1
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 315805
% 108.00/108.40 Kept: 53892
% 108.00/108.40 Inuse: 924
% 108.00/108.40 Deleted: 198
% 108.00/108.40 Deletedinuse: 1
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 332779
% 108.00/108.40 Kept: 56038
% 108.00/108.40 Inuse: 964
% 108.00/108.40 Deleted: 199
% 108.00/108.40 Deletedinuse: 2
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 356526
% 108.00/108.40 Kept: 59061
% 108.00/108.40 Inuse: 1019
% 108.00/108.40 Deleted: 199
% 108.00/108.40 Deletedinuse: 2
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 363068
% 108.00/108.40 Kept: 61724
% 108.00/108.40 Inuse: 1024
% 108.00/108.40 Deleted: 199
% 108.00/108.40 Deletedinuse: 2
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying clauses:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 369831
% 108.00/108.40 Kept: 64451
% 108.00/108.40 Inuse: 1029
% 108.00/108.40 Deleted: 670
% 108.00/108.40 Deletedinuse: 2
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 378236
% 108.00/108.40 Kept: 67148
% 108.00/108.40 Inuse: 1034
% 108.00/108.40 Deleted: 670
% 108.00/108.40 Deletedinuse: 2
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 401120
% 108.00/108.40 Kept: 72361
% 108.00/108.40 Inuse: 1069
% 108.00/108.40 Deleted: 670
% 108.00/108.40 Deletedinuse: 2
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 411309
% 108.00/108.40 Kept: 74434
% 108.00/108.40 Inuse: 1079
% 108.00/108.40 Deleted: 671
% 108.00/108.40 Deletedinuse: 3
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 430725
% 108.00/108.40 Kept: 78043
% 108.00/108.40 Inuse: 1114
% 108.00/108.40 Deleted: 671
% 108.00/108.40 Deletedinuse: 3
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 442121
% 108.00/108.40 Kept: 80052
% 108.00/108.40 Inuse: 1120
% 108.00/108.40 Deleted: 672
% 108.00/108.40 Deletedinuse: 4
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying clauses:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 470388
% 108.00/108.40 Kept: 82906
% 108.00/108.40 Inuse: 1134
% 108.00/108.40 Deleted: 792
% 108.00/108.40 Deletedinuse: 4
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 502659
% 108.00/108.40 Kept: 86027
% 108.00/108.40 Inuse: 1149
% 108.00/108.40 Deleted: 792
% 108.00/108.40 Deletedinuse: 4
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 512090
% 108.00/108.40 Kept: 89486
% 108.00/108.40 Inuse: 1164
% 108.00/108.40 Deleted: 792
% 108.00/108.40 Deletedinuse: 4
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 529137
% 108.00/108.40 Kept: 91929
% 108.00/108.40 Inuse: 1174
% 108.00/108.40 Deleted: 794
% 108.00/108.40 Deletedinuse: 6
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 544236
% 108.00/108.40 Kept: 93942
% 108.00/108.40 Inuse: 1184
% 108.00/108.40 Deleted: 794
% 108.00/108.40 Deletedinuse: 6
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 561146
% 108.00/108.40 Kept: 97461
% 108.00/108.40 Inuse: 1198
% 108.00/108.40 Deleted: 794
% 108.00/108.40 Deletedinuse: 6
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 590092
% 108.00/108.40 Kept: 100494
% 108.00/108.40 Inuse: 1204
% 108.00/108.40 Deleted: 794
% 108.00/108.40 Deletedinuse: 6
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying clauses:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 599880
% 108.00/108.40 Kept: 102689
% 108.00/108.40 Inuse: 1224
% 108.00/108.40 Deleted: 1166
% 108.00/108.40 Deletedinuse: 6
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40 Resimplifying inuse:
% 108.00/108.40 Done
% 108.00/108.40
% 108.00/108.40
% 108.00/108.40 Intermediate Status:
% 108.00/108.40 Generated: 609984
% 108.00/108.40 Kept: 104918
% 108.00/108.40 Inuse: 1244
% 241.74/242.21 Deleted: 1166
% 241.74/242.21 Deletedinuse: 6
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 623116
% 241.74/242.21 Kept: 107068
% 241.74/242.21 Inuse: 1264
% 241.74/242.21 Deleted: 1166
% 241.74/242.21 Deletedinuse: 6
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 640751
% 241.74/242.21 Kept: 110375
% 241.74/242.21 Inuse: 1274
% 241.74/242.21 Deleted: 1166
% 241.74/242.21 Deletedinuse: 6
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 670826
% 241.74/242.21 Kept: 112879
% 241.74/242.21 Inuse: 1284
% 241.74/242.21 Deleted: 1166
% 241.74/242.21 Deletedinuse: 6
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 717344
% 241.74/242.21 Kept: 116476
% 241.74/242.21 Inuse: 1324
% 241.74/242.21 Deleted: 1166
% 241.74/242.21 Deletedinuse: 6
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 756606
% 241.74/242.21 Kept: 119474
% 241.74/242.21 Inuse: 1334
% 241.74/242.21 Deleted: 1166
% 241.74/242.21 Deletedinuse: 6
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 773402
% 241.74/242.21 Kept: 121831
% 241.74/242.21 Inuse: 1349
% 241.74/242.21 Deleted: 1166
% 241.74/242.21 Deletedinuse: 6
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying clauses:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 787900
% 241.74/242.21 Kept: 124258
% 241.74/242.21 Inuse: 1369
% 241.74/242.21 Deleted: 1514
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 802683
% 241.74/242.21 Kept: 127024
% 241.74/242.21 Inuse: 1389
% 241.74/242.21 Deleted: 1514
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 809711
% 241.74/242.21 Kept: 129258
% 241.74/242.21 Inuse: 1401
% 241.74/242.21 Deleted: 1514
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 832302
% 241.74/242.21 Kept: 131492
% 241.74/242.21 Inuse: 1419
% 241.74/242.21 Deleted: 1514
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 855103
% 241.74/242.21 Kept: 133754
% 241.74/242.21 Inuse: 1434
% 241.74/242.21 Deleted: 1514
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 869105
% 241.74/242.21 Kept: 135764
% 241.74/242.21 Inuse: 1449
% 241.74/242.21 Deleted: 1514
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 914867
% 241.74/242.21 Kept: 138514
% 241.74/242.21 Inuse: 1454
% 241.74/242.21 Deleted: 1514
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 935804
% 241.74/242.21 Kept: 140959
% 241.74/242.21 Inuse: 1464
% 241.74/242.21 Deleted: 1514
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 960317
% 241.74/242.21 Kept: 143530
% 241.74/242.21 Inuse: 1469
% 241.74/242.21 Deleted: 1514
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying clauses:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 1007597
% 241.74/242.21 Kept: 147778
% 241.74/242.21 Inuse: 1479
% 241.74/242.21 Deleted: 1924
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 1023407
% 241.74/242.21 Kept: 150164
% 241.74/242.21 Inuse: 1499
% 241.74/242.21 Deleted: 1924
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 1043090
% 241.74/242.21 Kept: 152165
% 241.74/242.21 Inuse: 1531
% 241.74/242.21 Deleted: 1924
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 1073466
% 241.74/242.21 Kept: 155535
% 241.74/242.21 Inuse: 1544
% 241.74/242.21 Deleted: 1924
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 1088167
% 241.74/242.21 Kept: 157694
% 241.74/242.21 Inuse: 1568
% 241.74/242.21 Deleted: 1925
% 241.74/242.21 Deletedinuse: 7
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 1103211
% 241.74/242.21 Kept: 159873
% 241.74/242.21 Inuse: 1582
% 241.74/242.21 Deleted: 1928
% 241.74/242.21 Deletedinuse: 9
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 1117822
% 241.74/242.21 Kept: 162044
% 241.74/242.21 Inuse: 1599
% 241.74/242.21 Deleted: 1928
% 241.74/242.21 Deletedinuse: 9
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying clauses:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 1128613
% 241.74/242.21 Kept: 164065
% 241.74/242.21 Inuse: 1612
% 241.74/242.21 Deleted: 2945
% 241.74/242.21 Deletedinuse: 9
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21
% 241.74/242.21 Intermediate Status:
% 241.74/242.21 Generated: 1140612
% 241.74/242.21 Kept: 166115
% 241.74/242.21 Inuse: 1627
% 241.74/242.21 Deleted: 2945
% 241.74/242.21 Deletedinuse: 9
% 241.74/242.21
% 241.74/242.21 Resimplifying inuse:
% 241.74/242.21 Done
% 241.74/242.21
% 241.74/242.21 Resimplifying inuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------