TSTP Solution File: ALG433-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG433-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 12:10:55 EDT 2022
% Result : Timeout 300.04s 300.93s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG433-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 9 02:42:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.89/1.30 *** allocated 10000 integers for termspace/termends
% 0.89/1.30 *** allocated 10000 integers for clauses
% 0.89/1.30 *** allocated 10000 integers for justifications
% 0.89/1.30 *** allocated 15000 integers for termspace/termends
% 0.89/1.30 *** allocated 22500 integers for termspace/termends
% 0.89/1.30 Bliksem 1.12
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 Automatic Strategy Selection
% 0.89/1.30
% 0.89/1.30 Clauses:
% 0.89/1.30 [
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.89/1.30 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.89/1.30 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.30 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.89/1.30 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.89/1.30 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.89/1.30 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ), Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ), Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ), Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.30 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.30 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.89/1.30 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.89/1.30 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.89/1.30 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.89/1.30 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.30 Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.30 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.89/1.30 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.89/1.30 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.30 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.89/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.89/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.89/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.30 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 Y, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.30 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.89/1.30 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ), =( Z, T ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.30 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.89/1.30 , T, X ), X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.30 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.89/1.30 ), X ), Y ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.30 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.30 'c_Polynomial_Opoly'(
% 0.89/1.30 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.30 , X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.30 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.89/1.30 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.30 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.89/1.30 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.30 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.89/1.30 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.89/1.30 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.89/1.30 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.89/1.30 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.89/1.30 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.89/1.30 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'c_Ring__and__Field_Ozero__neq__one'( X, X, Y ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.30 , X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.30 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.30 , X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ), =( Z, Y ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.89/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.89/1.30 , Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.89/1.30 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.89/1.30 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.30 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.30 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.89/1.30 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.89/1.30 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.30 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.30 X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.89/1.30 Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.89/1.30 X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.30 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.89/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.89/1.31 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.89/1.31 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.89/1.31 X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.31 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.31 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.31 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.31 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.89/1.31 , T, X ), X ), T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.89/1.31 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.31 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.89/1.31 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 Y, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.89/1.31 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.89/1.31 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.89/1.31 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.89/1.31 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.89/1.31 , X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.89/1.31 , X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.31 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.31 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.31 , Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.31 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.89/1.31 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.31 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.31 , Y, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.31 , Z, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.31 , Z, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.31 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.31 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.89/1.31 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.31 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 Y, T, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.89/1.31 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.31 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.31 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.31 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.31 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.89/1.31 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.89/1.31 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.89/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.89/1.31 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.31 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.31 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.31 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.31 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.31 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.31 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.31 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.31 Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.89/1.31 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.89/1.31 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.89/1.31 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.89/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.89/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.31 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.31 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 Y, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.31 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.89/1.31 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.89/1.31 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.89/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.31 , X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.31 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.31 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.31 X ) ) ), =( Z, T ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.31 X ) ) ), =( Z, T ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.31 X ) ) ), =( Y, T ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.89/1.31 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.89/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.89/1.31 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.89/1.31 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.31 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.89/1.31 X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.89/1.31 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.89/1.31 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.31 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.89/1.31 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.89/1.31 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.89/1.31 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 0.89/1.31 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.31 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.89/1.31 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.31 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.89/1.31 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.31 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.89/1.31 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.31 , T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.31 , T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.89/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.89/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.31 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.89/1.31 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.31 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.31 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.31 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.31 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.31 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.31 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.31 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.31 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.31 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.31 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.31 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.31 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.31 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.89/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.31 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.89/1.31 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.89/1.31 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.31 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.31 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.31 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.31 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.89/1.31 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.89/1.31 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.89/1.31 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.89/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.89/1.31 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.89/1.31 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.89/1.31 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.89/1.31 Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.31 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.31 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.31 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.31 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.31 , Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.31 , Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.31 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.89/1.31 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.31 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.31 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.89/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.31 Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Opoly'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.89/1.31 ) ), Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.31 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.31 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.31 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.31 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.89/1.31 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.31 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.89/1.31 , X ), X ), Y ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.89/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.89/1.31 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.89/1.31 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ), T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.31 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.89/1.31 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ),
% 0.89/1.31 'c_Ring__and__Field_Ozero__neq__one'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.89/1.31 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.89/1.31 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.31 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.89/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.89/1.31 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.89/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.89/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.89/1.31 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.89/1.31 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.89/1.31 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.89/1.31 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.89/1.31 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.89/1.31 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.89/1.31 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.89/1.31 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.89/1.31 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.89/1.31 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.89/1.31 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.89/1.31 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Complex_Oexpi'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oone__class_Oone'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.89/1.31 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ],
% 0.89/1.31 [ =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 0.89/1.31 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ) ],
% 0.89/1.31 [ ~( =( 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.89/1.31 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ), Y,
% 0.89/1.31 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ) ],
% 0.89/1.31 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.89/1.31 ) ), X, 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.89/1.31 , Y, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.89/1.31 ) ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.89/1.31 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.89/1.31 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ), X ) ],
% 0.89/1.31 [ =( X, 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.89/1.31 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.89/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.89/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.89/1.31 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.89/1.31 ) ), 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.89/1.31 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ],
% 0.89/1.31 [ =( X, 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.89/1.31 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.89/1.31 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.89/1.31 ), X, 'tc_Complex_Ocomplex' ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 X ), T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.31 T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 X ), T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.31 T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.31 X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.31 T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.89/1.31 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.89/1.31 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.89/1.31 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.31 , Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.31 , Y, X ) ) ],
% 0.89/1.31 [ ~( =( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Complex_Ocomplex' ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'v_q', 'c_Polynomial_OpCons'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.89/1.31 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.89/1.31 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.89/1.31 ), 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_HOL_Oeq'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.89/1.31 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.89/1.31 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.89/1.31 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.89/1.31 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.89/1.31 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.89/1.31 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.89/1.31 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.89/1.31 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.89/1.31 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.89/1.31 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.89/1.31 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.89/1.31 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.89/1.31 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.89/1.31 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.89/1.31 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.89/1.31 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.89/1.31 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.89/1.31 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.89/1.31 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.89/1.31 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.89/1.31 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.89/1.31 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.89/1.31 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.89/1.31 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 0.89/1.31 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 0.89/1.31 ] .
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 percentage equality = 0.169675, percentage horn = 0.843836
% 0.89/1.31 This is a problem with some equality
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 Options Used:
% 0.89/1.31
% 0.89/1.31 useres = 1
% 0.89/1.31 useparamod = 1
% 0.89/1.31 useeqrefl = 1
% 0.89/1.31 useeqfact = 1
% 0.89/1.31 usefactor = 1
% 0.89/1.31 usesimpsplitting = 0
% 0.89/1.31 usesimpdemod = 5
% 0.89/1.31 usesimpres = 3
% 0.89/1.31
% 0.89/1.31 resimpinuse = 1000
% 0.89/1.31 resimpclauses = 20000
% 0.89/1.31 substype = eqrewr
% 0.89/1.31 backwardsubs = 1
% 0.89/1.31 selectoldest = 5
% 0.89/1.31
% 0.89/1.31 litorderings [0] = split
% 0.89/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.31
% 0.89/1.31 termordering = kbo
% 0.89/1.31
% 0.89/1.31 litapriori = 0
% 0.89/1.31 termapriori = 1
% 0.89/1.31 litaposteriori = 0
% 0.89/1.31 termaposteriori = 0
% 0.89/1.31 demodaposteriori = 0
% 0.89/1.31 ordereqreflfact = 0
% 0.89/1.31
% 0.89/1.31 litselect = negord
% 0.89/1.31
% 0.89/1.31 maxweight = 15
% 0.89/1.31 maxdepth = 30000
% 0.89/1.31 maxlength = 115
% 0.89/1.31 maxnrvars = 195
% 0.89/1.31 excuselevel = 1
% 0.89/1.31 increasemaxweight = 1
% 0.89/1.31
% 0.89/1.31 maxselected = 10000000
% 0.89/1.31 maxnrclauses = 10000000
% 0.89/1.31
% 0.89/1.31 showgenerated = 0
% 0.89/1.31 showkept = 0
% 0.89/1.31 showselected = 0
% 0.89/1.31 showdeleted = 0
% 0.89/1.31 showresimp = 1
% 0.89/1.31 showstatus = 2000
% 0.89/1.31
% 0.89/1.31 prologoutput = 1
% 0.89/1.31 nrgoals = 5000000
% 0.89/1.31 totalproof = 1
% 0.89/1.31
% 0.89/1.31 Symbols occurring in the translation:
% 0.89/1.31
% 0.89/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.31 . [1, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.89/1.31 ! [4, 1] (w:0, o:39, a:1, s:1, b:0),
% 0.89/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.31 'class_Ring__and__Field_Oordered__field' [40, 1] (w:1, o:45, a:1, s:1
% 0.89/1.31 , b:0),
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:51, a:1
% 0.89/1.31 , s:1, b:0),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.89/1.31 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:136, a:1, s:1, b:0),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide' [46, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.89/1.31
% 0.89/1.31 'class_OrderedGroup_Oab__group__add' [47, 1] (w:1, o:53, a:1, s:1, b:
% 0.89/1.31 0),
% 0.89/1.31 'c_HOL_Oplus__class_Oplus' [51, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus' [52, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.89/1.31 'class_SEQ_Obanach' [53, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.89/1.31 'class_RealVector_Oreal__normed__field' [54, 1] (w:1, o:54, a:1, s:1
% 0.89/1.31 , b:0),
% 0.89/1.31 'c_Transcendental_Oexp' [55, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes' [56, 3] (w:1, o:139, a:1, s:1, b:0),
% 0.89/1.31 'class_Divides_Osemiring__div' [57, 1] (w:1, o:78, a:1, s:1, b:0),
% 0.89/1.31 'c_Divides_Odiv__class_Odiv' [58, 3] (w:1, o:140, a:1, s:1, b:0),
% 0.89/1.31 'c_Ring__and__Field_Odvd__class_Odvd' [59, 3] (w:1, o:141, a:1, s:1
% 3.48/3.85 , b:0),
% 3.48/3.85 'c_Divides_Odiv__class_Omod' [61, 3] (w:1, o:142, a:1, s:1, b:0),
% 3.48/3.85 'c_lessequals' [62, 3] (w:1, o:143, a:1, s:1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Ofield' [63, 1] (w:1, o:55, a:1, s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Ogroup__add' [65, 1] (w:1, o:79, a:1, s:1, b:0),
% 3.48/3.85
% 3.48/3.85 'class_Lattices_Oboolean__algebra' [66, 1] (w:1, o:80, a:1, s:1, b:0)
% 3.48/3.85 ,
% 3.48/3.85 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [67, 1]
% 3.48/3.85 (w:1, o:82, a:1, s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Opordered__ab__group__add' [69, 1] (w:1, o:83, a:
% 3.48/3.85 1, s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Oordered__ab__group__add' [70, 1] (w:1, o:81, a:1
% 3.48/3.85 , s:1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Odivision__ring' [71, 1] (w:1, o:56, a:1, s:1
% 3.48/3.85 , b:0),
% 3.48/3.85 'c_HOL_Oinverse__class_Oinverse' [72, 2] (w:1, o:134, a:1, s:1, b:0)
% 3.48/3.85 ,
% 3.48/3.85 'class_Ring__and__Field_Ocomm__semiring__1' [73, 1] (w:1, o:49, a:1
% 3.48/3.85 , s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Olordered__ab__group__add' [74, 1] (w:1, o:84, a:
% 3.48/3.85 1, s:1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Oidom' [75, 1] (w:1, o:57, a:1, s:1, b:0),
% 3.48/3.85 'class_Int_Onumber__ring' [76, 1] (w:1, o:87, a:1, s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Omonoid__add' [77, 1] (w:1, o:88, a:1, s:1, b:0)
% 3.48/3.85 ,
% 3.48/3.85 'class_OrderedGroup_Ocomm__monoid__add' [78, 1] (w:1, o:89, a:1, s:1
% 3.48/3.85 , b:0),
% 3.48/3.85 'class_Ring__and__Field_Oordered__semiring__strict' [79, 1] (w:1, o:
% 3.48/3.85 59, a:1, s:1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Ocomm__semiring__0' [81, 1] (w:1, o:48, a:1
% 3.48/3.85 , s:1, b:0),
% 3.48/3.85 'c_Polynomial_Osmult' [83, 3] (w:1, o:144, a:1, s:1, b:0),
% 3.48/3.85 'c_Polynomial_Opoly' [84, 3] (w:1, o:145, a:1, s:1, b:0),
% 3.48/3.85 'c_HOL_Oone__class_Oone' [85, 1] (w:1, o:90, a:1, s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Opordered__comm__monoid__add' [86, 1] (w:1, o:91
% 3.48/3.85 , a:1, s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [87, 1]
% 3.48/3.85 (w:1, o:92, a:1, s:1, b:0),
% 3.48/3.85 'class_Orderings_Olinorder' [88, 1] (w:1, o:93, a:1, s:1, b:0),
% 3.48/3.85 'class_Orderings_Opreorder' [89, 1] (w:1, o:95, a:1, s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Oab__semigroup__add' [90, 1] (w:1, o:96, a:1, s:1
% 3.48/3.85 , b:0),
% 3.48/3.85 'class_HOL_Ozero' [91, 1] (w:1, o:85, a:1, s:1, b:0),
% 3.48/3.85 'c_Polynomial_Omonom' [93, 3] (w:1, o:146, a:1, s:1, b:0),
% 3.48/3.85 'c_Polynomial_Ocoeff' [95, 3] (w:1, o:147, a:1, s:1, b:0),
% 3.48/3.85 'class_Orderings_Oorder' [96, 1] (w:1, o:94, a:1, s:1, b:0),
% 3.48/3.85 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [98, 3]
% 3.48/3.85 (w:1, o:148, a:1, s:1, b:0),
% 3.48/3.85 'class_HOL_Oeq' [99, 1] (w:1, o:86, a:1, s:1, b:0),
% 3.48/3.85 'c_Polynomial_OpCons' [100, 3] (w:1, o:149, a:1, s:1, b:0),
% 3.48/3.85 'tc_Polynomial_Opoly' [102, 1] (w:1, o:97, a:1, s:1, b:0),
% 3.48/3.85 'c_HOL_Oeq__class_Oeq' [103, 3] (w:1, o:150, a:1, s:1, b:0),
% 3.48/3.85 'c_Ring__and__Field_Ozero__neq__one' [105, 3] (w:1, o:151, a:1, s:1
% 3.48/3.85 , b:0),
% 3.48/3.85 'class_Ring__and__Field_Oordered__idom' [106, 1] (w:1, o:60, a:1, s:1
% 3.48/3.85 , b:0),
% 3.48/3.85 'class_Ring__and__Field_Oordered__ring__strict' [107, 1] (w:1, o:58
% 3.48/3.85 , a:1, s:1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Oordered__semiring' [108, 1] (w:1, o:61, a:1
% 3.48/3.85 , s:1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Oring' [109, 1] (w:1, o:62, a:1, s:1, b:0),
% 3.48/3.85 'class_RealVector_Oreal__normed__algebra' [112, 1] (w:1, o:63, a:1
% 3.48/3.85 , s:1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Ocomm__semiring' [114, 1] (w:1, o:50, a:1, s:
% 3.48/3.85 1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Odvd' [115, 1] (w:1, o:64, a:1, s:1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Osemiring' [116, 1] (w:1, o:66, a:1, s:1, b:0
% 3.48/3.85 ),
% 3.48/3.85 'class_Ring__and__Field_Oordered__semidom' [118, 1] (w:1, o:67, a:1
% 3.48/3.85 , s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Opordered__ab__semigroup__add' [119, 1] (w:1, o:
% 3.48/3.85 98, a:1, s:1, b:0),
% 3.48/3.85 'class_Divides_Oring__div' [120, 1] (w:1, o:77, a:1, s:1, b:0),
% 3.48/3.85 'class_Ring__and__Field_Ocomm__ring__1' [121, 1] (w:1, o:46, a:1, s:1
% 3.48/3.85 , b:0),
% 3.48/3.85 'class_OrderedGroup_Ocancel__ab__semigroup__add' [122, 1] (w:1, o:99
% 3.48/3.85 , a:1, s:1, b:0),
% 3.48/3.85 'class_OrderedGroup_Ocancel__semigroup__add' [123, 1] (w:1, o:100, a:
% 3.48/3.85 1, s:1, b:0),
% 3.48/3.85 'c_Polynomial_Opos__poly' [125, 2] (w:1, o:135, a:1, s:1, b:0),
% 17.10/17.52 'class_Ring__and__Field_Opordered__cancel__semiring' [126, 1] (w:1
% 17.10/17.52 , o:69, a:1, s:1, b:0),
% 17.10/17.52 'class_Ring__and__Field_Opordered__semiring' [127, 1] (w:1, o:71, a:1
% 17.10/17.52 , s:1, b:0),
% 17.10/17.52 'class_Ring__and__Field_Opordered__ring' [128, 1] (w:1, o:70, a:1, s:
% 17.10/17.52 1, b:0),
% 17.10/17.52 'class_Ring__and__Field_Omult__mono' [130, 1] (w:1, o:72, a:1, s:1
% 17.10/17.52 , b:0),
% 17.10/17.52 'class_Ring__and__Field_Omult__mono1' [131, 1] (w:1, o:73, a:1, s:1
% 17.10/17.52 , b:0),
% 17.10/17.52 'class_Ring__and__Field_Oordered__comm__semiring__strict' [132, 1]
% 17.10/17.52 (w:1, o:68, a:1, s:1, b:0),
% 17.10/17.52 'class_Ring__and__Field_Ozero__neq__one' [133, 1] (w:1, o:74, a:1, s:
% 17.10/17.52 1, b:0),
% 17.10/17.52 'tc_Complex_Ocomplex' [134, 0] (w:1, o:33, a:1, s:1, b:0),
% 17.10/17.52 'c_Complex_Oexpi' [135, 1] (w:1, o:101, a:1, s:1, b:0),
% 17.10/17.52 'class_Ring__and__Field_Oring__no__zero__divisors' [136, 1] (w:1, o:
% 17.10/17.52 65, a:1, s:1, b:0),
% 17.10/17.52 'class_Ring__and__Field_Omult__zero' [137, 1] (w:1, o:75, a:1, s:1
% 17.10/17.52 , b:0),
% 17.10/17.52 'class_OrderedGroup_Oab__semigroup__mult' [142, 1] (w:1, o:102, a:1
% 17.10/17.52 , s:1, b:0),
% 17.10/17.52 'class_OrderedGroup_Oab__semigroup__idem__mult' [143, 1] (w:1, o:103
% 17.10/17.52 , a:1, s:1, b:0),
% 17.10/17.52 'class_Ring__and__Field_Ono__zero__divisors' [144, 1] (w:1, o:44, a:1
% 17.10/17.52 , s:1, b:0),
% 17.10/17.52 'class_OrderedGroup_Omonoid__mult' [145, 1] (w:1, o:104, a:1, s:1, b:
% 17.10/17.52 0),
% 17.10/17.52 'class_OrderedGroup_Ocomm__monoid__mult' [146, 1] (w:1, o:105, a:1
% 17.10/17.52 , s:1, b:0),
% 17.10/17.52 'v_q' [147, 0] (w:1, o:36, a:1, s:1, b:0),
% 17.10/17.52 'class_OrderedGroup_Ocancel__comm__monoid__add' [149, 1] (w:1, o:106
% 17.10/17.52 , a:1, s:1, b:0),
% 17.10/17.52 'class_Ring__and__Field_Ocomm__ring' [150, 1] (w:1, o:47, a:1, s:1
% 17.10/17.52 , b:0),
% 17.10/17.52 'tc_nat' [151, 0] (w:1, o:38, a:1, s:1, b:0).
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Starting Search:
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 3198
% 17.10/17.52 Kept: 2073
% 17.10/17.52 Inuse: 166
% 17.10/17.52 Deleted: 0
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 11845
% 17.10/17.52 Kept: 4188
% 17.10/17.52 Inuse: 206
% 17.10/17.52 Deleted: 0
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 21438
% 17.10/17.52 Kept: 6561
% 17.10/17.52 Inuse: 291
% 17.10/17.52 Deleted: 0
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 27609
% 17.10/17.52 Kept: 8564
% 17.10/17.52 Inuse: 371
% 17.10/17.52 Deleted: 1
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 34899
% 17.10/17.52 Kept: 10594
% 17.10/17.52 Inuse: 464
% 17.10/17.52 Deleted: 2
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 46013
% 17.10/17.52 Kept: 12854
% 17.10/17.52 Inuse: 527
% 17.10/17.52 Deleted: 4
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 57526
% 17.10/17.52 Kept: 14927
% 17.10/17.52 Inuse: 620
% 17.10/17.52 Deleted: 6
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 68636
% 17.10/17.52 Kept: 16977
% 17.10/17.52 Inuse: 654
% 17.10/17.52 Deleted: 7
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 80901
% 17.10/17.52 Kept: 19397
% 17.10/17.52 Inuse: 704
% 17.10/17.52 Deleted: 7
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying clauses:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 98800
% 17.10/17.52 Kept: 22054
% 17.10/17.52 Inuse: 719
% 17.10/17.52 Deleted: 166
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 115639
% 17.10/17.52 Kept: 24187
% 17.10/17.52 Inuse: 744
% 17.10/17.52 Deleted: 166
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 137751
% 17.10/17.52 Kept: 26200
% 17.10/17.52 Inuse: 764
% 17.10/17.52 Deleted: 166
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 149352
% 17.10/17.52 Kept: 31350
% 17.10/17.52 Inuse: 782
% 17.10/17.52 Deleted: 166
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 17.10/17.52 Generated: 154384
% 17.10/17.52 Kept: 35374
% 17.10/17.52 Inuse: 783
% 17.10/17.52 Deleted: 166
% 17.10/17.52 Deletedinuse: 0
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52 Resimplifying inuse:
% 17.10/17.52 Done
% 17.10/17.52
% 17.10/17.52
% 17.10/17.52 Intermediate Status:
% 45.88/46.29 Generated: 161943
% 45.88/46.29 Kept: 37543
% 45.88/46.29 Inuse: 819
% 45.88/46.29 Deleted: 166
% 45.88/46.29 Deletedinuse: 0
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 170014
% 45.88/46.29 Kept: 39653
% 45.88/46.29 Inuse: 859
% 45.88/46.29 Deleted: 166
% 45.88/46.29 Deletedinuse: 0
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying clauses:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 180908
% 45.88/46.29 Kept: 41732
% 45.88/46.29 Inuse: 879
% 45.88/46.29 Deleted: 298
% 45.88/46.29 Deletedinuse: 0
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 191760
% 45.88/46.29 Kept: 43786
% 45.88/46.29 Inuse: 894
% 45.88/46.29 Deleted: 298
% 45.88/46.29 Deletedinuse: 0
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 217613
% 45.88/46.29 Kept: 46607
% 45.88/46.29 Inuse: 924
% 45.88/46.29 Deleted: 298
% 45.88/46.29 Deletedinuse: 0
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 226068
% 45.88/46.29 Kept: 48616
% 45.88/46.29 Inuse: 968
% 45.88/46.29 Deleted: 298
% 45.88/46.29 Deletedinuse: 0
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 238676
% 45.88/46.29 Kept: 54276
% 45.88/46.29 Inuse: 995
% 45.88/46.29 Deleted: 298
% 45.88/46.29 Deletedinuse: 0
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 256658
% 45.88/46.29 Kept: 56459
% 45.88/46.29 Inuse: 1014
% 45.88/46.29 Deleted: 326
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 265244
% 45.88/46.29 Kept: 58512
% 45.88/46.29 Inuse: 1064
% 45.88/46.29 Deleted: 326
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 277310
% 45.88/46.29 Kept: 61183
% 45.88/46.29 Inuse: 1094
% 45.88/46.29 Deleted: 326
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying clauses:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 288475
% 45.88/46.29 Kept: 63190
% 45.88/46.29 Inuse: 1119
% 45.88/46.29 Deleted: 816
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 295740
% 45.88/46.29 Kept: 65207
% 45.88/46.29 Inuse: 1159
% 45.88/46.29 Deleted: 816
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 306504
% 45.88/46.29 Kept: 67309
% 45.88/46.29 Inuse: 1204
% 45.88/46.29 Deleted: 816
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 318394
% 45.88/46.29 Kept: 69540
% 45.88/46.29 Inuse: 1229
% 45.88/46.29 Deleted: 816
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 334573
% 45.88/46.29 Kept: 71911
% 45.88/46.29 Inuse: 1254
% 45.88/46.29 Deleted: 816
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 346688
% 45.88/46.29 Kept: 74449
% 45.88/46.29 Inuse: 1269
% 45.88/46.29 Deleted: 816
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 356413
% 45.88/46.29 Kept: 76466
% 45.88/46.29 Inuse: 1274
% 45.88/46.29 Deleted: 816
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 367021
% 45.88/46.29 Kept: 78483
% 45.88/46.29 Inuse: 1309
% 45.88/46.29 Deleted: 816
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 377965
% 45.88/46.29 Kept: 80494
% 45.88/46.29 Inuse: 1346
% 45.88/46.29 Deleted: 816
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying clauses:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 389494
% 45.88/46.29 Kept: 82631
% 45.88/46.29 Inuse: 1379
% 45.88/46.29 Deleted: 1313
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 405473
% 45.88/46.29 Kept: 84637
% 45.88/46.29 Inuse: 1421
% 45.88/46.29 Deleted: 1313
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 415079
% 45.88/46.29 Kept: 86783
% 45.88/46.29 Inuse: 1454
% 45.88/46.29 Deleted: 1313
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 437611
% 45.88/46.29 Kept: 88796
% 45.88/46.29 Inuse: 1465
% 45.88/46.29 Deleted: 1313
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 460226
% 45.88/46.29 Kept: 91063
% 45.88/46.29 Inuse: 1474
% 45.88/46.29 Deleted: 1313
% 45.88/46.29 Deletedinuse: 28
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29 Resimplifying inuse:
% 45.88/46.29 Done
% 45.88/46.29
% 45.88/46.29
% 45.88/46.29 Intermediate Status:
% 45.88/46.29 Generated: 470062
% 45.88/46.29 Kept: 93064
% 114.19/114.69 Inuse: 1505
% 114.19/114.69 Deleted: 1313
% 114.19/114.69 Deletedinuse: 28
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 485512
% 114.19/114.69 Kept: 95864
% 114.19/114.69 Inuse: 1534
% 114.19/114.69 Deleted: 1313
% 114.19/114.69 Deletedinuse: 28
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 496999
% 114.19/114.69 Kept: 97959
% 114.19/114.69 Inuse: 1549
% 114.19/114.69 Deleted: 1313
% 114.19/114.69 Deletedinuse: 28
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 506983
% 114.19/114.69 Kept: 99968
% 114.19/114.69 Inuse: 1580
% 114.19/114.69 Deleted: 1313
% 114.19/114.69 Deletedinuse: 28
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying clauses:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 518466
% 114.19/114.69 Kept: 102005
% 114.19/114.69 Inuse: 1604
% 114.19/114.69 Deleted: 1439
% 114.19/114.69 Deletedinuse: 29
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 530412
% 114.19/114.69 Kept: 104120
% 114.19/114.69 Inuse: 1624
% 114.19/114.69 Deleted: 1439
% 114.19/114.69 Deletedinuse: 29
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 543923
% 114.19/114.69 Kept: 106123
% 114.19/114.69 Inuse: 1666
% 114.19/114.69 Deleted: 1440
% 114.19/114.69 Deletedinuse: 30
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 574529
% 114.19/114.69 Kept: 108358
% 114.19/114.69 Inuse: 1679
% 114.19/114.69 Deleted: 1441
% 114.19/114.69 Deletedinuse: 31
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 608181
% 114.19/114.69 Kept: 110785
% 114.19/114.69 Inuse: 1694
% 114.19/114.69 Deleted: 1441
% 114.19/114.69 Deletedinuse: 31
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 640974
% 114.19/114.69 Kept: 115108
% 114.19/114.69 Inuse: 1724
% 114.19/114.69 Deleted: 1441
% 114.19/114.69 Deletedinuse: 31
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 652495
% 114.19/114.69 Kept: 117397
% 114.19/114.69 Inuse: 1754
% 114.19/114.69 Deleted: 1441
% 114.19/114.69 Deletedinuse: 31
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 673497
% 114.19/114.69 Kept: 120641
% 114.19/114.69 Inuse: 1769
% 114.19/114.69 Deleted: 1441
% 114.19/114.69 Deletedinuse: 31
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying clauses:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 688072
% 114.19/114.69 Kept: 122981
% 114.19/114.69 Inuse: 1789
% 114.19/114.69 Deleted: 1917
% 114.19/114.69 Deletedinuse: 31
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 698808
% 114.19/114.69 Kept: 125092
% 114.19/114.69 Inuse: 1814
% 114.19/114.69 Deleted: 1917
% 114.19/114.69 Deletedinuse: 31
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 714201
% 114.19/114.69 Kept: 127898
% 114.19/114.69 Inuse: 1834
% 114.19/114.69 Deleted: 1919
% 114.19/114.69 Deletedinuse: 33
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 754750
% 114.19/114.69 Kept: 131729
% 114.19/114.69 Inuse: 1844
% 114.19/114.69 Deleted: 1919
% 114.19/114.69 Deletedinuse: 33
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 764210
% 114.19/114.69 Kept: 133858
% 114.19/114.69 Inuse: 1864
% 114.19/114.69 Deleted: 1919
% 114.19/114.69 Deletedinuse: 33
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 774526
% 114.19/114.69 Kept: 136020
% 114.19/114.69 Inuse: 1888
% 114.19/114.69 Deleted: 1920
% 114.19/114.69 Deletedinuse: 33
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 790994
% 114.19/114.69 Kept: 138834
% 114.19/114.69 Inuse: 1912
% 114.19/114.69 Deleted: 1921
% 114.19/114.69 Deletedinuse: 33
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 805719
% 114.19/114.69 Kept: 142640
% 114.19/114.69 Inuse: 1913
% 114.19/114.69 Deleted: 1923
% 114.19/114.69 Deletedinuse: 35
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying clauses:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 824946
% 114.19/114.69 Kept: 145625
% 114.19/114.69 Inuse: 1922
% 114.19/114.69 Deleted: 2356
% 114.19/114.69 Deletedinuse: 35
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 833621
% 114.19/114.69 Kept: 147735
% 114.19/114.69 Inuse: 1942
% 114.19/114.69 Deleted: 2356
% 114.19/114.69 Deletedinuse: 35
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 841408
% 114.19/114.69 Kept: 149752
% 114.19/114.69 Inuse: 1960
% 114.19/114.69 Deleted: 2356
% 114.19/114.69 Deletedinuse: 35
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 114.19/114.69 Intermediate Status:
% 114.19/114.69 Generated: 849987
% 114.19/114.69 Kept: 151968
% 114.19/114.69 Inuse: 1982
% 114.19/114.69 Deleted: 2356
% 114.19/114.69 Deletedinuse: 35
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69 Resimplifying inuse:
% 114.19/114.69 Done
% 114.19/114.69
% 114.19/114.69
% 300.04/300.93 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------