TSTP Solution File: ALG424-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG424-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:52 EDT 2022
% Result : Timeout 300.05s 300.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG424-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 8 21:15:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.94/1.36 *** allocated 10000 integers for termspace/termends
% 0.94/1.36 *** allocated 10000 integers for clauses
% 0.94/1.36 *** allocated 10000 integers for justifications
% 0.94/1.36 *** allocated 15000 integers for termspace/termends
% 0.94/1.36 *** allocated 22500 integers for termspace/termends
% 0.94/1.36 Bliksem 1.12
% 0.94/1.36
% 0.94/1.36
% 0.94/1.36 Automatic Strategy Selection
% 0.94/1.36
% 0.94/1.36 Clauses:
% 0.94/1.36 [
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.36 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.36 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.36 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.36 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.94/1.36 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.94/1.36 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.94/1.36 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.36 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.36 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.94/1.36 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.36 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.36 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.94/1.36 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.36 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.36 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.94/1.36 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.36 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.36 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.94/1.36 ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.36 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.36 Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.94/1.36 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.94/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.36 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.36 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.36 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.94/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.36 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.94/1.36 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.36 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ), T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.36 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.36 X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.94/1.36 Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.94/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.94/1.36 Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.94/1.36 X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.94/1.36 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.36 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.36 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.36 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.36 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.36 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.36 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.36 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.36 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.36 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.36 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.94/1.36 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.36 , Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.94/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.94/1.36 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.94/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.36 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.94/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.36 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.94/1.36 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.94/1.36 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.94/1.36 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.94/1.36 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.94/1.36 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.36 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.94/1.36 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.94/1.36 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.94/1.36 X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.36 , Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.36 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.94/1.36 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.36 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.36 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.94/1.36 X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.36 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.36 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.94/1.36 X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.36 ), =( Z, Y ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.36 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.94/1.36 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.36 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.94/1.36 , Y, 'tc_nat' ) ) ],
% 0.94/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.94/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.36 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.36 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.36 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.94/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.36 , Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.36 , X ) ) ), =( Y, Z ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.36 , X ) ) ), =( Y, Z ) ],
% 0.94/1.36 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.36 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.94/1.36 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.36 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.94/1.36 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.94/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.94/1.36 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.94/1.36 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.94/1.36 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.36 T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.36 X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.36 T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.36 X ), T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.36 T, X ), X ) ) ],
% 0.94/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.94/1.36 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.36 X ), T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.94/1.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.94/1.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.94/1.36 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.94/1.36 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.36 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.94/1.36 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.94/1.36 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.36 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.36 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.94/1.36 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.94/1.36 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.36 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.94/1.36 X ) ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.36 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.94/1.36 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.94/1.36 ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.36 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.36 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.36 Y, X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.36 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.94/1.36 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.36 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.94/1.36 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.36 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.36 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.36 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.94/1.36 , X ), X ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.94/1.36 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.36 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.94/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.36 X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.94/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.36 X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.94/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.36 X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.94/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.36 X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 Y, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.94/1.36 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.94/1.36 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.36 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ) ) ],
% 0.94/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.36 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.94/1.36 ],
% 0.94/1.36 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.36 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.36 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.36 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.36 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.36 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.94/1.36 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.36 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.36 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 Y, T, X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.36 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 Y, T, X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.94/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.94/1.36 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.36 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.36 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.36 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.94/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.94/1.36 X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.94/1.36 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.94/1.36 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.94/1.36 ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.36 ), X ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.94/1.36 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.94/1.36 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 Z, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.36 , X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.94/1.36 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.94/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.36 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.36 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.94/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.94/1.36 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.36 Z, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.94/1.36 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.94/1.36 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.94/1.36 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.94/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.36 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.94/1.36 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.94/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.36 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.36 , T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.36 , Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.36 , T, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.36 , Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.94/1.36 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.94/1.36 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.36 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.36 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.94/1.36 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.94/1.36 ), 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.36 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.94/1.36 , X ), W, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.94/1.36 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.94/1.36 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.94/1.36 , X ), T, X ), W, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.94/1.36 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.94/1.36 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.94/1.36 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.94/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.94/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.94/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.94/1.36 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.94/1.36 ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.94/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.94/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.36 , X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.94/1.36 , X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.94/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.94/1.36 ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.94/1.36 ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.36 ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.36 ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.94/1.36 ],
% 0.94/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.94/1.36 , X, 'tc_nat' ), X ) ],
% 0.94/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.94/1.36 ), 'tc_nat' ), X ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.94/1.36 ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.36 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.36 Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.94/1.36 , T, X ), X ), T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.94/1.36 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.94/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.36 ,
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.94/1.36 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.94/1.36 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.94/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.94/1.36 X ) ) ), =( Z, T ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.94/1.36 X ) ) ), =( Z, T ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.94/1.36 X ) ) ), =( Y, T ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.94/1.36 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.94/1.36 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.36 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.94/1.36 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.94/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.94/1.36 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.94/1.36 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.94/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.94/1.36 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.94/1.36 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.94/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.36 X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.94/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.36 , X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.94/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.36 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.94/1.36 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.94/1.36 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.94/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.94/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.94/1.36 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.36 ), 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.94/1.36 ), 'tc_nat' ) ) ],
% 0.94/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.36 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.36 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.99/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.99/1.36 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.36 , X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.36 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.36 ,
% 0.99/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.99/1.36 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.36 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.36 ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.36 ) ],
% 0.99/1.36 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.99/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.36 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.99/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.99/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.36 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.99/1.36 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.99/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.36 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.99/1.36 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.99/1.36 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.36 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.36 ,
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.36 ,
% 0.99/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.99/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.99/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.99/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.36 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.99/1.36 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.99/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.99/1.36 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.36 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.99/1.36 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.99/1.36 , X ), W, X ) ) ],
% 0.99/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.99/1.36 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.99/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.99/1.36 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.36 X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.99/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.99/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.36 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.36 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.99/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.36 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.99/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.36 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.99/1.36 ) ],
% 0.99/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.36 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.36 ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.99/1.36 X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.99/1.36 X ) ) ],
% 0.99/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.99/1.36 X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.36 ), X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.36 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.36 ), X ) ) ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.99/1.36 ],
% 0.99/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.99/1.36 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.36 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.99/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.37 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.37 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.99/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.37 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.99/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.99/1.37 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.99/1.37 ), X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ),
% 0.99/1.37 'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ),
% 0.99/1.37 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.99/1.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.99/1.37 ), Y ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.99/1.37 ), X ), Y ) ],
% 0.99/1.37 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ) ],
% 0.99/1.37 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.99/1.37 'tc_nat' ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.37 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.37 , Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.37 , Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.37 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.99/1.37 , T, X ), X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.37 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.37 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.37 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.99/1.37 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.99/1.37 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.37 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.99/1.37 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.37 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.99/1.37 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.37 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.37 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.99/1.37 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.37 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.37 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.37 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.37 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.99/1.37 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.37 , T, X ) ) ), =( Z, T ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.99/1.37 , T, X ) ) ), =( Y, Z ) ],
% 0.99/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ) ), =( Y, Z ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.99/1.37 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.37 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.37 , T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.37 , Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.99/1.37 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.37 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.99/1.37 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.37 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.99/1.37 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.99/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.99/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.37 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.37 Y, Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.37 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.99/1.37 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.99/1.37 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.37 , Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.99/1.37 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.99/1.37 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.99/1.37 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.37 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.99/1.37 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.99/1.37 ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.37 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.99/1.37 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 ) ), =( Y, Z ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 ) ), =( Y, Z ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.37 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.99/1.37 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.37 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.99/1.37 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.37 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.99/1.37 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.37 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.99/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.99/1.37 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.99/1.37 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.37 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.99/1.37 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.37 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.37 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.99/1.37 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.99/1.37 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.99/1.37 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.99/1.37 , T, X ), X ), T, X ) ) ],
% 0.99/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.99/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.99/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.99/1.37 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.99/1.37 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.37 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.99/1.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.99/1.37 , Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.37 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 , Z, X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.37 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 , Z, X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.37 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.99/1.37 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.37 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.99/1.37 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.37 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 , T, X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.37 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 , T, X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.37 Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.99/1.37 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.99/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.99/1.37 W, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.99/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.99/1.37 , X ), T, X ), W, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.99/1.37 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.99/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.99/1.37 W, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.99/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.99/1.37 , X ), W, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.99/1.37 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.99/1.37 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.99/1.37 Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 0.99/1.37 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.37 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.37 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.37 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.37 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.37 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.37 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.37 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.37 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.37 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.37 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.99/1.37 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.99/1.37 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.99/1.37 X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.37 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.37 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.37 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.99/1.37 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.99/1.37 ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.99/1.37 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.99/1.37 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.99/1.37 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.37 , Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.37 , Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.37 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.99/1.37 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.99/1.37 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.99/1.37 X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.37 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.99/1.37 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.37 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.37 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.99/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.99/1.37 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.99/1.37 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.99/1.37 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.37 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.37 , U, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.99/1.37 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.37 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.99/1.37 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.99/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.99/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.99/1.37 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.99/1.37 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.99/1.37 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.99/1.37 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.37 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.37 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.37 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 0.99/1.37 'tc_nat' ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.37 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 Y, T, X ), Z, X ) ) ],
% 0.99/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.99/1.37 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.99/1.37 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.99/1.37 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.37 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.37 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.37 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.99/1.37 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.99/1.37 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.99/1.37 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.99/1.37 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.99/1.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.99/1.37 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.99/1.37 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.99/1.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.99/1.37 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.99/1.37 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.99/1.37 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.99/1.37 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.99/1.37 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.99/1.37 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.99/1.37 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.99/1.37 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.99/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.99/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.37 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.99/1.37 ), Y ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.99/1.37 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.99/1.37 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.99/1.37 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.99/1.37 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.99/1.37 , Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.37 ), Y ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.37 ), Y ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.99/1.37 ), Y ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.37 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.99/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.99/1.37 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.99/1.37 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.37 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.99/1.37 ), Y, X ) ), =( Z, T ) ],
% 0.99/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.99/1.37 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.99/1.37 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.99/1.37 X ), X ) ) ],
% 0.99/1.37 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.99/1.37 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.99/1.37 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.37 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.37 Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.99/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.37 ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.99/1.37 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.99/1.37 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.99/1.37 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.99/1.37 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.37 X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.37 X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.37 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.99/1.37 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.99/1.37 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.37 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.99/1.37 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.37 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.99/1.37 X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Z, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Z, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.37 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.99/1.37 X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.99/1.37 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.99/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.99/1.37 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.99/1.37 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.37 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.99/1.37 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.37 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.37 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_Polynomial_Odegree'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' ), 'tc_nat' ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.99/1.37 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.99/1.37 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.37 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.99/1.37 , X ), X ), Y ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.99/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.37 , Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.37 , T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.37 , T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.37 , Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.37 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.99/1.37 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.99/1.37 ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.99/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.99/1.37 ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.37 Y, X ), X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.99/1.37 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.99/1.37 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.99/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.99/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), 'c_lessequals'(
% 0.99/1.37 'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( Y, Z, X ), X ),
% 0.99/1.37 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.99/1.37 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.37 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.99/1.37 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.99/1.37 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.99/1.37 , U, X ), T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.99/1.37 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.99/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.99/1.37 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.99/1.37 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.99/1.37 X ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.99/1.37 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.99/1.37 X ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.99/1.37 ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.99/1.37 ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.99/1.37 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 0.99/1.37 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.99/1.37 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.99/1.37 ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.37 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.37 Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.37 , X ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.99/1.37 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.99/1.37 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.99/1.37 X ), Y ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.99/1.37 X ), Y ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.37 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.99/1.37 Y, Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.99/1.37 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.99/1.37 T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.99/1.37 Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.99/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.99/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.99/1.37 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.37 [ ~( =( 'v_na____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.99/1.37 , X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.99/1.37 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.99/1.37 , X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.37 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.99/1.37 Z, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.99/1.37 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.99/1.37 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.99/1.37 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.99/1.37 [ =( 'c_Polynomial_Odegree'( 'v_pa____', 'tc_Complex_Ocomplex' ),
% 0.99/1.37 'v_na____' ) ],
% 0.99/1.37 [ ~( =( 'c_Polynomial_Opoly'( X, 'v_sko__local__XIH__1'( Y, X ),
% 0.99/1.37 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_Complex_Ocomplex' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_Polynomial_Odegree'( Y, 'tc_Complex_Ocomplex' ), 'v_na____', 'tc_nat'
% 0.99/1.37 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.99/1.37 'c_Power_Opower__class_Opower'( X, 'c_Polynomial_Odegree'( Y,
% 0.99/1.37 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) )
% 0.99/1.37 , 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), =(
% 0.99/1.37 'c_Polynomial_Odegree'( Y, 'tc_Complex_Ocomplex' ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.37 [ =( 'c_Polynomial_Opoly'( X, 'v_sko__local__XIH__1'( X, Y ),
% 0.99/1.37 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 'tc_Complex_Ocomplex' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.37 'c_Polynomial_Odegree'( X, 'tc_Complex_Ocomplex' ), 'v_na____', 'tc_nat'
% 0.99/1.37 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, 'c_Polynomial_Odegree'( X,
% 0.99/1.37 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) )
% 0.99/1.37 , 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), =(
% 0.99/1.37 'c_Polynomial_Odegree'( X, 'tc_Complex_Ocomplex' ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.99/1.37 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.37 Y, X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.99/1.37 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.37 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.99/1.37 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.99/1.37 , X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.99/1.37 , X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.99/1.37 X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.99/1.37 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.37 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.99/1.37 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.37 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 Z, T, X ), X ) ) ],
% 0.99/1.37 [ ~( =( 'v_pa____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.99/1.37 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.99/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.99/1.37 ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.99/1.37 , T, X ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.99/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.99/1.37 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.99/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.99/1.37 [ ~( =( 'c_Polynomial_Opoly'( 'v_pa____', X, 'tc_Complex_Ocomplex' ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.99/1.37 'c_Polynomial_Opoly'( 'v_qa____', X, 'tc_Complex_Ocomplex' ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.37 , Y, X ), X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.37 , Z, X ), X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.37 , Z, X ), X ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.99/1.37 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.99/1.37 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.99/1.37 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.37 Z, T, 'tc_nat' ), X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.37 'c_Polynomial_Opoly'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_Power_Opower__class_Opower'(
% 0.99/1.37 'c_Polynomial_Opoly'( Y, T, X ), Z, X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.37 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.99/1.37 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.99/1.37 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.99/1.37 [ ~( =( 'v_pa____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.99/1.37 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.99/1.37 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Polynomial_Oorder'( Z, Y
% 0.99/1.37 , X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'(
% 0.99/1.37 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z,
% 0.99/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =(
% 0.99/1.37 'c_Polynomial_Opoly'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ =( 'c_Polynomial_Opoly'( 'v_pa____', 'v_a____', 'tc_Complex_Ocomplex'
% 0.99/1.37 ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.99/1.37 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_pa____',
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'v_qa____', 'v_na____',
% 0.99/1.37 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Polynomial_Opoly'(
% 0.99/1.37 'tc_Complex_Ocomplex' ) ), =( 'c_Polynomial_Oorder'( 'v_a____',
% 0.99/1.37 'v_pa____', 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.99/1.37 ) ) ],
% 0.99/1.37 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'v_pa____',
% 0.99/1.37 'c_Power_Opower__class_Opower'( 'v_qa____', 'v_na____',
% 0.99/1.37 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Polynomial_Opoly'(
% 0.99/1.37 'tc_Complex_Ocomplex' ) ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.99/1.37 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.99/1.37 ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.99/1.37 ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.99/1.37 ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.99/1.37 ],
% 0.99/1.37 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.99/1.37 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.99/1.37 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.99/1.37 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.99/1.37 ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.99/1.37 ],
% 0.99/1.37 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.99/1.37 ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.99/1.37 X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.99/1.37 ,
% 0.99/1.37 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.99/1.37 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.99/1.37 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.99/1.37 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.99/1.37 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.99/1.37 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.99/1.37 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.99/1.37 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.99/1.37 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.99/1.37 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.99/1.37 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.99/1.37 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.99/1.37 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.99/1.37 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.99/1.37 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 0.99/1.37 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.99/1.37 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.99/1.37 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.99/1.37 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.99/1.37 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.99/1.37 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.99/1.37 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.99/1.37 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.99/1.37 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.99/1.37 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.99/1.37 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.99/1.37 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.99/1.37 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.99/1.37 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.99/1.37 X ) ) ]
% 0.99/1.37 ] .
% 0.99/1.37
% 0.99/1.37
% 0.99/1.37 percentage equality = 0.189130, percentage horn = 0.842105
% 0.99/1.37 This is a problem with some equality
% 0.99/1.37
% 0.99/1.37
% 0.99/1.37
% 0.99/1.37 Options Used:
% 0.99/1.37
% 0.99/1.37 useres = 1
% 0.99/1.37 useparamod = 1
% 0.99/1.37 useeqrefl = 1
% 0.99/1.37 useeqfact = 1
% 0.99/1.37 usefactor = 1
% 0.99/1.37 usesimpsplitting = 0
% 0.99/1.37 usesimpdemod = 5
% 0.99/1.37 usesimpres = 3
% 0.99/1.37
% 0.99/1.37 resimpinuse = 1000
% 0.99/1.37 resimpclauses = 20000
% 0.99/1.37 substype = eqrewr
% 0.99/1.37 backwardsubs = 1
% 0.99/1.37 selectoldest = 5
% 0.99/1.37
% 0.99/1.37 litorderings [0] = split
% 0.99/1.37 litorderings [1] = extend the termordering, first sorting on arguments
% 0.99/1.37
% 0.99/1.37 termordering = kbo
% 0.99/1.37
% 0.99/1.37 litapriori = 0
% 0.99/1.37 termapriori = 1
% 0.99/1.37 litaposteriori = 0
% 0.99/1.37 termaposteriori = 0
% 0.99/1.37 demodaposteriori = 0
% 0.99/1.37 ordereqreflfact = 0
% 0.99/1.37
% 0.99/1.37 litselect = negord
% 0.99/1.37
% 0.99/1.37 maxweight = 15
% 0.99/1.37 maxdepth = 30000
% 0.99/1.37 maxlength = 115
% 0.99/1.37 maxnrvars = 195
% 0.99/1.37 excuselevel = 1
% 0.99/1.37 increasemaxweight = 1
% 0.99/1.37
% 0.99/1.37 maxselected = 10000000
% 0.99/1.37 maxnrclauses = 10000000
% 0.99/1.37
% 0.99/1.37 showgenerated = 0
% 0.99/1.37 showkept = 0
% 0.99/1.37 showselected = 0
% 0.99/1.37 showdeleted = 0
% 0.99/1.37 showresimp = 1
% 0.99/1.37 showstatus = 2000
% 0.99/1.37
% 0.99/1.37 prologoutput = 1
% 0.99/1.37 nrgoals = 5000000
% 0.99/1.37 totalproof = 1
% 0.99/1.37
% 0.99/1.37 Symbols occurring in the translation:
% 0.99/1.37
% 0.99/1.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.99/1.37 . [1, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.99/1.37 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.99/1.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.99/1.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.99/1.37 'class_OrderedGroup_Opordered__ab__group__add' [40, 1] (w:1, o:56, a:
% 0.99/1.37 1, s:1, b:0),
% 0.99/1.37 'c_HOL_Ominus__class_Ominus' [43, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.99/1.37 'c_HOL_Oord__class_Oless' [46, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.99/1.37 'c_lessequals' [47, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.99/1.37 'class_Ring__and__Field_Oidom' [48, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.99/1.37 'c_Polynomial_Osmult' [51, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.99/1.37 'c_Polynomial_Odegree' [52, 2] (w:1, o:150, a:1, s:1, b:0),
% 0.99/1.37 'c_HOL_Ozero__class_Ozero' [53, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.99/1.37 'class_Divides_Osemiring__div' [54, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.99/1.37 'c_Divides_Odiv__class_Omod' [57, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.99/1.37 'c_HOL_Oplus__class_Oplus' [58, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.99/1.37 'class_Ring__and__Field_Odvd' [59, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.99/1.37 'class_Ring__and__Field_Ocomm__ring' [60, 1] (w:1, o:61, a:1, s:1, b:
% 0.99/1.37 0),
% 0.99/1.37 'c_HOL_Otimes__class_Otimes' [64, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.99/1.37 'c_Ring__and__Field_Odvd__class_Odvd' [66, 3] (w:1, o:162, a:1, s:1
% 0.99/1.37 , b:0),
% 0.99/1.37 'c_Divides_Odiv__class_Odiv' [67, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.99/1.37 'class_Orderings_Oorder' [68, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.99/1.37 'tc_nat' [71, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.99/1.37 'class_Orderings_Olinorder' [72, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.99/1.37 'class_Ring__and__Field_Oordered__field' [73, 1] (w:1, o:72, a:1, s:1
% 0.99/1.37 , b:0),
% 0.99/1.37 'class_Ring__and__Field_Odivision__by__zero' [74, 1] (w:1, o:73, a:1
% 0.99/1.37 , s:1, b:0),
% 0.99/1.37 'c_HOL_Oinverse__class_Odivide' [75, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.99/1.37
% 0.99/1.37 'class_Ring__and__Field_Odivision__ring' [76, 1] (w:1, o:74, a:1, s:1
% 0.99/1.37 , b:0),
% 0.99/1.37 'c_HOL_Ouminus__class_Ouminus' [77, 2] (w:1, o:151, a:1, s:1, b:0),
% 0.99/1.37 'c_HOL_Oinverse__class_Oinverse' [78, 2] (w:1, o:152, a:1, s:1, b:0)
% 0.99/1.37 ,
% 0.99/1.37 'class_Ring__and__Field_Ofield' [79, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.99/1.37 'tc_Polynomial_Opoly' [80, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.99/1.37 'class_Ring__and__Field_Opordered__ring' [81, 1] (w:1, o:83, a:1, s:1
% 0.99/1.37 , b:0),
% 0.99/1.37 'class_Ring__and__Field_Oordered__ring__strict' [82, 1] (w:1, o:77
% 0.99/1.37 , a:1, s:1, b:0),
% 0.99/1.37 'class_Ring__and__Field_Oordered__semiring__strict' [85, 1] (w:1, o:
% 0.99/1.37 78, a:1, s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Oab__semigroup__idem__mult' [86, 1] (w:1, o:84
% 3.31/3.71 , a:1, s:1, b:0),
% 3.31/3.71 'c_HOL_Oone__class_Oone' [88, 1] (w:1, o:85, a:1, s:1, b:0),
% 3.31/3.71 'class_Int_Onumber__ring' [89, 1] (w:1, o:87, a:1, s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Omult__mono' [91, 1] (w:1, o:88, a:1, s:1, b:
% 3.31/3.71 0),
% 3.31/3.71 'class_Ring__and__Field_Omult__mono1' [92, 1] (w:1, o:89, a:1, s:1
% 3.31/3.71 , b:0),
% 3.31/3.71 'class_Ring__and__Field_Oordered__semidom' [93, 1] (w:1, o:79, a:1
% 3.31/3.71 , s:1, b:0),
% 3.31/3.71 'c_Power_Opower__class_Opower' [94, 3] (w:1, o:165, a:1, s:1, b:0),
% 3.31/3.71 'class_RealVector_Oreal__normed__field' [95, 1] (w:1, o:90, a:1, s:1
% 3.31/3.71 , b:0),
% 3.31/3.71 'class_OrderedGroup_Ogroup__add' [97, 1] (w:1, o:91, a:1, s:1, b:0),
% 3.31/3.71
% 3.31/3.71 'class_OrderedGroup_Opordered__ab__group__add__abs' [98, 1] (w:1, o:
% 3.31/3.71 92, a:1, s:1, b:0),
% 3.31/3.71 'c_HOL_Oabs__class_Oabs' [99, 2] (w:1, o:153, a:1, s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Oordered__idom' [100, 1] (w:1, o:80, a:1, s:1
% 3.31/3.71 , b:0),
% 3.31/3.71 'class_Ring__and__Field_Osemiring__0' [101, 1] (w:1, o:97, a:1, s:1
% 3.31/3.71 , b:0),
% 3.31/3.71 'class_Power_Opower' [102, 1] (w:1, o:115, a:1, s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Ozero__neq__one' [103, 1] (w:1, o:116, a:1
% 3.31/3.71 , s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Ono__zero__divisors' [104, 1] (w:1, o:71, a:1
% 3.31/3.71 , s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Omult__zero' [105, 1] (w:1, o:70, a:1, s:1
% 3.31/3.71 , b:0),
% 3.31/3.71 'class_Ring__and__Field_Ocomm__semiring__1' [106, 1] (w:1, o:64, a:1
% 3.31/3.71 , s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Olordered__ab__group__add' [108, 1] (w:1, o:98
% 3.31/3.71 , a:1, s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Oring' [109, 1] (w:1, o:93, a:1, s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Opordered__ring__abs' [110, 1] (w:1, o:117
% 3.31/3.71 , a:1, s:1, b:0),
% 3.31/3.71 'c_Polynomial_Opoly__gcd' [111, 3] (w:1, o:167, a:1, s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [112, 1]
% 3.31/3.71 (w:1, o:99, a:1, s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Opordered__ab__semigroup__add' [113, 1] (w:1, o:
% 3.31/3.71 100, a:1, s:1, b:0),
% 3.31/3.71 'class_Lattices_Oboolean__algebra' [114, 1] (w:1, o:118, a:1, s:1, b:
% 3.31/3.71 0),
% 3.31/3.71 'class_Ring__and__Field_Opordered__cancel__semiring' [115, 1] (w:1
% 3.31/3.71 , o:119, a:1, s:1, b:0),
% 3.31/3.71 'class_Divides_Oring__div' [116, 1] (w:1, o:59, a:1, s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Oab__semigroup__mult' [117, 1] (w:1, o:101, a:1
% 3.31/3.71 , s:1, b:0),
% 3.31/3.71 'class_RealVector_Oreal__normed__algebra' [122, 1] (w:1, o:120, a:1
% 3.31/3.71 , s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Ocomm__semiring' [127, 1] (w:1, o:65, a:1, s:
% 3.31/3.71 1, b:0),
% 3.31/3.71 'class_OrderedGroup_Oordered__ab__group__add' [129, 1] (w:1, o:55, a:
% 3.31/3.71 1, s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Opordered__semiring' [131, 1] (w:1, o:121, a:
% 3.31/3.71 1, s:1, b:0),
% 3.31/3.71 'c_Polynomial_Opoly' [132, 3] (w:1, o:168, a:1, s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Ocomm__semiring__0' [133, 1] (w:1, o:63, a:1
% 3.31/3.71 , s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Olordered__ab__group__add__abs' [134, 1] (w:1, o:
% 3.31/3.71 102, a:1, s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Opordered__comm__monoid__add' [135, 1] (w:1, o:
% 3.31/3.71 103, a:1, s:1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Oring__no__zero__divisors' [136, 1] (w:1, o:
% 3.31/3.71 94, a:1, s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Oab__group__add' [137, 1] (w:1, o:104, a:1, s:1
% 3.31/3.71 , b:0),
% 3.31/3.71 'class_Ring__and__Field_Oabs__if' [138, 1] (w:1, o:122, a:1, s:1, b:0
% 3.31/3.71 ),
% 3.31/3.71 'class_Ring__and__Field_Oordered__semiring' [139, 1] (w:1, o:81, a:1
% 3.31/3.71 , s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Ocomm__monoid__add' [141, 1] (w:1, o:105, a:1, s:
% 3.31/3.71 1, b:0),
% 3.31/3.71 'class_Ring__and__Field_Olordered__ring' [142, 1] (w:1, o:69, a:1, s:
% 3.31/3.71 1, b:0),
% 3.31/3.71 'class_OrderedGroup_Omonoid__mult' [143, 1] (w:1, o:106, a:1, s:1, b:
% 3.31/3.71 0),
% 3.31/3.71 'class_OrderedGroup_Ocomm__monoid__mult' [144, 1] (w:1, o:107, a:1
% 3.31/3.71 , s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Ocancel__ab__semigroup__add' [145, 1] (w:1, o:108
% 3.31/3.71 , a:1, s:1, b:0),
% 3.31/3.71 'class_OrderedGroup_Ocancel__semigroup__add' [146, 1] (w:1, o:109, a:
% 3.31/3.71 1, s:1, b:0),
% 3.31/3.71 'class_RealVector_Oreal__field' [149, 1] (w:1, o:123, a:1, s:1, b:0)
% 3.31/3.71 ,
% 3.31/3.71 'class_Orderings_Opreorder' [150, 1] (w:1, o:110, a:1, s:1, b:0),
% 15.77/16.19 'class_OrderedGroup_Oab__semigroup__add' [151, 1] (w:1, o:111, a:1
% 15.77/16.19 , s:1, b:0),
% 15.77/16.19 'class_Ring__and__Field_Osemiring' [152, 1] (w:1, o:124, a:1, s:1, b:
% 15.77/16.19 0),
% 15.77/16.19 'class_Ring__and__Field_Oring__1' [153, 1] (w:1, o:95, a:1, s:1, b:0)
% 15.77/16.19 ,
% 15.77/16.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [154, 1]
% 15.77/16.19 (w:1, o:112, a:1, s:1, b:0),
% 15.77/16.19 'class_HOL_Ozero' [155, 1] (w:1, o:86, a:1, s:1, b:0),
% 15.77/16.19 'class_Ring__and__Field_Oordered__comm__semiring__strict' [156, 1]
% 15.77/16.19 (w:1, o:82, a:1, s:1, b:0),
% 15.77/16.19 'class_OrderedGroup_Omonoid__add' [157, 1] (w:1, o:113, a:1, s:1, b:0
% 15.77/16.19 ),
% 15.77/16.19 'v_na____' [158, 0] (w:1, o:44, a:1, s:1, b:0),
% 15.77/16.19 'class_Ring__and__Field_Ocomm__ring__1' [159, 1] (w:1, o:62, a:1, s:1
% 15.77/16.19 , b:0),
% 15.77/16.19 'v_pa____' [160, 0] (w:1, o:45, a:1, s:1, b:0),
% 15.77/16.19 'tc_Complex_Ocomplex' [161, 0] (w:1, o:46, a:1, s:1, b:0),
% 15.77/16.19 'v_sko__local__XIH__1' [162, 2] (w:1, o:154, a:1, s:1, b:0),
% 15.77/16.19 'class_Ring__and__Field_Oring__1__no__zero__divisors' [163, 1] (w:1
% 15.77/16.19 , o:96, a:1, s:1, b:0),
% 15.77/16.19 'v_qa____' [164, 0] (w:1, o:47, a:1, s:1, b:0),
% 15.77/16.19 'c_Polynomial_Oorder' [165, 3] (w:1, o:166, a:1, s:1, b:0),
% 15.77/16.19 'v_a____' [166, 0] (w:1, o:48, a:1, s:1, b:0),
% 15.77/16.19 'class_OrderedGroup_Ocancel__comm__monoid__add' [168, 1] (w:1, o:114
% 15.77/16.19 , a:1, s:1, b:0).
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Starting Search:
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 2980
% 15.77/16.19 Kept: 2001
% 15.77/16.19 Inuse: 89
% 15.77/16.19 Deleted: 0
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 12048
% 15.77/16.19 Kept: 4020
% 15.77/16.19 Inuse: 176
% 15.77/16.19 Deleted: 0
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 19869
% 15.77/16.19 Kept: 6062
% 15.77/16.19 Inuse: 211
% 15.77/16.19 Deleted: 0
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 29545
% 15.77/16.19 Kept: 8068
% 15.77/16.19 Inuse: 254
% 15.77/16.19 Deleted: 1
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 38425
% 15.77/16.19 Kept: 10317
% 15.77/16.19 Inuse: 324
% 15.77/16.19 Deleted: 2
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 48547
% 15.77/16.19 Kept: 12424
% 15.77/16.19 Inuse: 408
% 15.77/16.19 Deleted: 3
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 61778
% 15.77/16.19 Kept: 14710
% 15.77/16.19 Inuse: 483
% 15.77/16.19 Deleted: 3
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 74838
% 15.77/16.19 Kept: 17021
% 15.77/16.19 Inuse: 498
% 15.77/16.19 Deleted: 3
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 84909
% 15.77/16.19 Kept: 19612
% 15.77/16.19 Inuse: 513
% 15.77/16.19 Deleted: 3
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying clauses:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 92956
% 15.77/16.19 Kept: 22306
% 15.77/16.19 Inuse: 523
% 15.77/16.19 Deleted: 177
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 109216
% 15.77/16.19 Kept: 24906
% 15.77/16.19 Inuse: 548
% 15.77/16.19 Deleted: 177
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 125839
% 15.77/16.19 Kept: 26911
% 15.77/16.19 Inuse: 625
% 15.77/16.19 Deleted: 177
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 140520
% 15.77/16.19 Kept: 29202
% 15.77/16.19 Inuse: 648
% 15.77/16.19 Deleted: 177
% 15.77/16.19 Deletedinuse: 0
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 157668
% 15.77/16.19 Kept: 31834
% 15.77/16.19 Inuse: 675
% 15.77/16.19 Deleted: 191
% 15.77/16.19 Deletedinuse: 1
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 169983
% 15.77/16.19 Kept: 34520
% 15.77/16.19 Inuse: 682
% 15.77/16.19 Deleted: 214
% 15.77/16.19 Deletedinuse: 1
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 15.77/16.19 Generated: 193620
% 15.77/16.19 Kept: 37786
% 15.77/16.19 Inuse: 687
% 15.77/16.19 Deleted: 238
% 15.77/16.19 Deletedinuse: 5
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19 Resimplifying inuse:
% 15.77/16.19 Done
% 15.77/16.19
% 15.77/16.19
% 15.77/16.19 Intermediate Status:
% 57.86/58.29 Generated: 202713
% 57.86/58.29 Kept: 39844
% 57.86/58.29 Inuse: 695
% 57.86/58.29 Deleted: 265
% 57.86/58.29 Deletedinuse: 5
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying clauses:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 218734
% 57.86/58.29 Kept: 42428
% 57.86/58.29 Inuse: 708
% 57.86/58.29 Deleted: 647
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 229735
% 57.86/58.29 Kept: 45569
% 57.86/58.29 Inuse: 722
% 57.86/58.29 Deleted: 647
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 245098
% 57.86/58.29 Kept: 47578
% 57.86/58.29 Inuse: 755
% 57.86/58.29 Deleted: 647
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 260056
% 57.86/58.29 Kept: 49778
% 57.86/58.29 Inuse: 793
% 57.86/58.29 Deleted: 647
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 281496
% 57.86/58.29 Kept: 51848
% 57.86/58.29 Inuse: 808
% 57.86/58.29 Deleted: 647
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 300680
% 57.86/58.29 Kept: 53853
% 57.86/58.29 Inuse: 841
% 57.86/58.29 Deleted: 647
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 323654
% 57.86/58.29 Kept: 56066
% 57.86/58.29 Inuse: 853
% 57.86/58.29 Deleted: 647
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 335047
% 57.86/58.29 Kept: 58290
% 57.86/58.29 Inuse: 873
% 57.86/58.29 Deleted: 647
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 352163
% 57.86/58.29 Kept: 61206
% 57.86/58.29 Inuse: 893
% 57.86/58.29 Deleted: 647
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying clauses:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 365383
% 57.86/58.29 Kept: 63350
% 57.86/58.29 Inuse: 915
% 57.86/58.29 Deleted: 829
% 57.86/58.29 Deletedinuse: 7
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 384660
% 57.86/58.29 Kept: 65670
% 57.86/58.29 Inuse: 950
% 57.86/58.29 Deleted: 831
% 57.86/58.29 Deletedinuse: 9
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 405314
% 57.86/58.29 Kept: 67811
% 57.86/58.29 Inuse: 985
% 57.86/58.29 Deleted: 831
% 57.86/58.29 Deletedinuse: 9
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 429739
% 57.86/58.29 Kept: 70180
% 57.86/58.29 Inuse: 1000
% 57.86/58.29 Deleted: 831
% 57.86/58.29 Deletedinuse: 9
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 469605
% 57.86/58.29 Kept: 73916
% 57.86/58.29 Inuse: 1010
% 57.86/58.29 Deleted: 831
% 57.86/58.29 Deletedinuse: 9
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 485116
% 57.86/58.29 Kept: 76629
% 57.86/58.29 Inuse: 1026
% 57.86/58.29 Deleted: 831
% 57.86/58.29 Deletedinuse: 9
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 502995
% 57.86/58.29 Kept: 79143
% 57.86/58.29 Inuse: 1039
% 57.86/58.29 Deleted: 844
% 57.86/58.29 Deletedinuse: 21
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 514938
% 57.86/58.29 Kept: 81176
% 57.86/58.29 Inuse: 1068
% 57.86/58.29 Deleted: 847
% 57.86/58.29 Deletedinuse: 23
% 57.86/58.29
% 57.86/58.29 Resimplifying clauses:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 539757
% 57.86/58.29 Kept: 84100
% 57.86/58.29 Inuse: 1083
% 57.86/58.29 Deleted: 1869
% 57.86/58.29 Deletedinuse: 41
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 546785
% 57.86/58.29 Kept: 86102
% 57.86/58.29 Inuse: 1103
% 57.86/58.29 Deleted: 1881
% 57.86/58.29 Deletedinuse: 53
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 553693
% 57.86/58.29 Kept: 88114
% 57.86/58.29 Inuse: 1125
% 57.86/58.29 Deleted: 1889
% 57.86/58.29 Deletedinuse: 61
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 562922
% 57.86/58.29 Kept: 90340
% 57.86/58.29 Inuse: 1138
% 57.86/58.29 Deleted: 1897
% 57.86/58.29 Deletedinuse: 69
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 569726
% 57.86/58.29 Kept: 92522
% 57.86/58.29 Inuse: 1158
% 57.86/58.29 Deleted: 1915
% 57.86/58.29 Deletedinuse: 87
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 577134
% 57.86/58.29 Kept: 94637
% 57.86/58.29 Inuse: 1178
% 57.86/58.29 Deleted: 1929
% 57.86/58.29 Deletedinuse: 101
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29
% 57.86/58.29 Intermediate Status:
% 57.86/58.29 Generated: 586646
% 57.86/58.29 Kept: 96638
% 57.86/58.29 Inuse: 1203
% 57.86/58.29 Deleted: 1937
% 57.86/58.29 Deletedinuse: 109
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 57.86/58.29 Done
% 57.86/58.29
% 57.86/58.29 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 595750
% 131.64/132.13 Kept: 98642
% 131.64/132.13 Inuse: 1229
% 131.64/132.13 Deleted: 1954
% 131.64/132.13 Deletedinuse: 126
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 605949
% 131.64/132.13 Kept: 100753
% 131.64/132.13 Inuse: 1258
% 131.64/132.13 Deleted: 1968
% 131.64/132.13 Deletedinuse: 140
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying clauses:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 618831
% 131.64/132.13 Kept: 103038
% 131.64/132.13 Inuse: 1298
% 131.64/132.13 Deleted: 4170
% 131.64/132.13 Deletedinuse: 167
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 633939
% 131.64/132.13 Kept: 105256
% 131.64/132.13 Inuse: 1327
% 131.64/132.13 Deleted: 4171
% 131.64/132.13 Deletedinuse: 167
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 660155
% 131.64/132.13 Kept: 107632
% 131.64/132.13 Inuse: 1336
% 131.64/132.13 Deleted: 4179
% 131.64/132.13 Deletedinuse: 169
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 680190
% 131.64/132.13 Kept: 110045
% 131.64/132.13 Inuse: 1338
% 131.64/132.13 Deleted: 4187
% 131.64/132.13 Deletedinuse: 169
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 717999
% 131.64/132.13 Kept: 114332
% 131.64/132.13 Inuse: 1365
% 131.64/132.13 Deleted: 4191
% 131.64/132.13 Deletedinuse: 170
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 733077
% 131.64/132.13 Kept: 117022
% 131.64/132.13 Inuse: 1383
% 131.64/132.13 Deleted: 4200
% 131.64/132.13 Deletedinuse: 172
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 740435
% 131.64/132.13 Kept: 119181
% 131.64/132.13 Inuse: 1390
% 131.64/132.13 Deleted: 4213
% 131.64/132.13 Deletedinuse: 172
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 755966
% 131.64/132.13 Kept: 121516
% 131.64/132.13 Inuse: 1403
% 131.64/132.13 Deleted: 4220
% 131.64/132.13 Deletedinuse: 172
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying clauses:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 770426
% 131.64/132.13 Kept: 124696
% 131.64/132.13 Inuse: 1409
% 131.64/132.13 Deleted: 4898
% 131.64/132.13 Deletedinuse: 172
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 809442
% 131.64/132.13 Kept: 128991
% 131.64/132.13 Inuse: 1428
% 131.64/132.13 Deleted: 4898
% 131.64/132.13 Deletedinuse: 172
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 823879
% 131.64/132.13 Kept: 131320
% 131.64/132.13 Inuse: 1443
% 131.64/132.13 Deleted: 4898
% 131.64/132.13 Deletedinuse: 172
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 838038
% 131.64/132.13 Kept: 133415
% 131.64/132.13 Inuse: 1468
% 131.64/132.13 Deleted: 4898
% 131.64/132.13 Deletedinuse: 172
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 851614
% 131.64/132.13 Kept: 135430
% 131.64/132.13 Inuse: 1493
% 131.64/132.13 Deleted: 4898
% 131.64/132.13 Deletedinuse: 172
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 865605
% 131.64/132.13 Kept: 138095
% 131.64/132.13 Inuse: 1508
% 131.64/132.13 Deleted: 4904
% 131.64/132.13 Deletedinuse: 178
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 875458
% 131.64/132.13 Kept: 140400
% 131.64/132.13 Inuse: 1528
% 131.64/132.13 Deleted: 4928
% 131.64/132.13 Deletedinuse: 202
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying clauses:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 886832
% 131.64/132.13 Kept: 142638
% 131.64/132.13 Inuse: 1553
% 131.64/132.13 Deleted: 5685
% 131.64/132.13 Deletedinuse: 208
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 908728
% 131.64/132.13 Kept: 146019
% 131.64/132.13 Inuse: 1583
% 131.64/132.13 Deleted: 5688
% 131.64/132.13 Deletedinuse: 211
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 917906
% 131.64/132.13 Kept: 148096
% 131.64/132.13 Inuse: 1588
% 131.64/132.13 Deleted: 5713
% 131.64/132.13 Deletedinuse: 236
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 932160
% 131.64/132.13 Kept: 150102
% 131.64/132.13 Inuse: 1614
% 131.64/132.13 Deleted: 5722
% 131.64/132.13 Deletedinuse: 245
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 944367
% 131.64/132.13 Kept: 152110
% 131.64/132.13 Inuse: 1632
% 131.64/132.13 Deleted: 5738
% 131.64/132.13 Deletedinuse: 260
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 959457
% 131.64/132.13 Kept: 154121
% 131.64/132.13 Inuse: 1651
% 131.64/132.13 Deleted: 5753
% 131.64/132.13 Deletedinuse: 275
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 131.64/132.13 Done
% 131.64/132.13
% 131.64/132.13
% 131.64/132.13 Intermediate Status:
% 131.64/132.13 Generated: 973451
% 131.64/132.13 Kept: 156177
% 131.64/132.13 Inuse: 1682
% 131.64/132.13 Deleted: 5781
% 131.64/132.13 Deletedinuse: 303
% 131.64/132.13
% 131.64/132.13 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 999652
% 248.64/249.20 Kept: 159146
% 248.64/249.20 Inuse: 1710
% 248.64/249.20 Deleted: 5802
% 248.64/249.20 Deletedinuse: 324
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1012284
% 248.64/249.20 Kept: 161146
% 248.64/249.20 Inuse: 1718
% 248.64/249.20 Deleted: 5809
% 248.64/249.20 Deletedinuse: 331
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying clauses:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1034210
% 248.64/249.20 Kept: 163544
% 248.64/249.20 Inuse: 1762
% 248.64/249.20 Deleted: 12929
% 248.64/249.20 Deletedinuse: 332
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1050598
% 248.64/249.20 Kept: 166407
% 248.64/249.20 Inuse: 1782
% 248.64/249.20 Deleted: 12938
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1063178
% 248.64/249.20 Kept: 168676
% 248.64/249.20 Inuse: 1802
% 248.64/249.20 Deleted: 12938
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1072256
% 248.64/249.20 Kept: 172216
% 248.64/249.20 Inuse: 1807
% 248.64/249.20 Deleted: 12938
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1081382
% 248.64/249.20 Kept: 175766
% 248.64/249.20 Inuse: 1812
% 248.64/249.20 Deleted: 12938
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1098021
% 248.64/249.20 Kept: 179766
% 248.64/249.20 Inuse: 1827
% 248.64/249.20 Deleted: 12938
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1116529
% 248.64/249.20 Kept: 181969
% 248.64/249.20 Inuse: 1837
% 248.64/249.20 Deleted: 12938
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying clauses:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1129338
% 248.64/249.20 Kept: 184302
% 248.64/249.20 Inuse: 1847
% 248.64/249.20 Deleted: 13421
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1137389
% 248.64/249.20 Kept: 186601
% 248.64/249.20 Inuse: 1862
% 248.64/249.20 Deleted: 13421
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1145308
% 248.64/249.20 Kept: 188784
% 248.64/249.20 Inuse: 1877
% 248.64/249.20 Deleted: 13421
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1172071
% 248.64/249.20 Kept: 191268
% 248.64/249.20 Inuse: 1912
% 248.64/249.20 Deleted: 13421
% 248.64/249.20 Deletedinuse: 341
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1193627
% 248.64/249.20 Kept: 193614
% 248.64/249.20 Inuse: 1937
% 248.64/249.20 Deleted: 13422
% 248.64/249.20 Deletedinuse: 342
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1210704
% 248.64/249.20 Kept: 198385
% 248.64/249.20 Inuse: 1942
% 248.64/249.20 Deleted: 13422
% 248.64/249.20 Deletedinuse: 342
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1227193
% 248.64/249.20 Kept: 201266
% 248.64/249.20 Inuse: 1947
% 248.64/249.20 Deleted: 13422
% 248.64/249.20 Deletedinuse: 342
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying clauses:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1254608
% 248.64/249.20 Kept: 205075
% 248.64/249.20 Inuse: 1957
% 248.64/249.20 Deleted: 13690
% 248.64/249.20 Deletedinuse: 342
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1279673
% 248.64/249.20 Kept: 207534
% 248.64/249.20 Inuse: 1982
% 248.64/249.20 Deleted: 13690
% 248.64/249.20 Deletedinuse: 342
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1294354
% 248.64/249.20 Kept: 209555
% 248.64/249.20 Inuse: 1997
% 248.64/249.20 Deleted: 13690
% 248.64/249.20 Deletedinuse: 342
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1339256
% 248.64/249.20 Kept: 213473
% 248.64/249.20 Inuse: 2022
% 248.64/249.20 Deleted: 13690
% 248.64/249.20 Deletedinuse: 342
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1376053
% 248.64/249.20 Kept: 216196
% 248.64/249.20 Inuse: 2027
% 248.64/249.20 Deleted: 13690
% 248.64/249.20 Deletedinuse: 342
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1399987
% 248.64/249.20 Kept: 219877
% 248.64/249.20 Inuse: 2037
% 248.64/249.20 Deleted: 13691
% 248.64/249.20 Deletedinuse: 343
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1409165
% 248.64/249.20 Kept: 222056
% 248.64/249.20 Inuse: 2052
% 248.64/249.20 Deleted: 13691
% 248.64/249.20 Deletedinuse: 343
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 Resimplifying clauses:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20
% 248.64/249.20 Intermediate Status:
% 248.64/249.20 Generated: 1418135
% 248.64/249.20 Kept: 224261
% 248.64/249.20 Inuse: 2067
% 248.64/249.20 Deleted: 14059
% 248.64/249.20 Deletedinuse: 343
% 248.64/249.20
% 248.64/249.20 Resimplifying inuse:
% 248.64/249.20 Done
% 248.64/249.20
% 248.64/249.20 ResimpliCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------