TSTP Solution File: ALG420-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG420-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 12:10:51 EDT 2022
% Result : Timeout 300.03s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG420-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n021.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 14:27:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.80/1.21 *** allocated 10000 integers for termspace/termends
% 0.80/1.21 *** allocated 10000 integers for clauses
% 0.80/1.21 *** allocated 10000 integers for justifications
% 0.80/1.21 Bliksem 1.12
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Automatic Strategy Selection
% 0.80/1.21
% 0.80/1.21 Clauses:
% 0.80/1.21 [
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.21 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.21 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.21 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.80/1.21 X ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 , Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.21 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.80/1.21 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.21 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.21 Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.21 , X ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.21 , X ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.80/1.21 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.80/1.21 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.80/1.21 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.80/1.21 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ =( 'c_Polynomial_Opoly'( X,
% 0.80/1.21 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.80/1.21 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ), =( X, 'c_Polynomial_OpCons'(
% 0.80/1.21 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.80/1.21 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.80/1.21 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.80/1.21 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.80/1.21 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.80/1.21 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.21 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.21 , X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.21 , X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.80/1.21 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.80/1.21 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.80/1.21 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.21 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.21 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.80/1.21 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.21 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 Y, X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.21 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.80/1.21 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.21 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.21 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.21 T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.21 X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.21 T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.21 T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.21 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.21 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 Y, X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.21 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.21 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 Y, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.80/1.21 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.80/1.21 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.21 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.21 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.80/1.21 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.21 , X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.21 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.21 , T, X ), X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.80/1.21 X ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.80/1.21 X ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.21 X ) ) ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.80/1.21 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.80/1.21 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.21 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.80/1.21 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.80/1.21 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , Y, X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , Z, X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , Z, X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.21 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.80/1.21 ), X ), Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.21 , T, X ), X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.80/1.21 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.80/1.21 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , T, X ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.21 , T, X ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.80/1.21 [ ~( =( 'v_qa____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.21 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.21 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.21 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.21 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , U, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.21 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.80/1.21 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.80/1.21 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.80/1.21 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.80/1.21 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.21 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.21 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.80/1.21 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.21 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 Y, T, X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.80/1.21 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.80/1.21 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.21 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.80/1.21 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.80/1.21 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.21 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.21 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.21 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.80/1.21 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.80/1.21 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.21 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.80/1.21 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.80/1.21 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.80/1.21 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.80/1.21 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.80/1.21 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.80/1.21 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.80/1.21 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.80/1.21 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.21 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.21 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.21 , X ), W, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.80/1.21 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.80/1.21 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.21 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.80/1.21 , T, X ), X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.21 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.80/1.21 Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.80/1.21 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.80/1.21 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.21 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.80/1.21 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.80/1.21 Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.80/1.21 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.21 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.21 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.80/1.21 X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.21 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.80/1.21 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.80/1.21 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.80/1.21 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.80/1.21 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.80/1.21 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.80/1.21 X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( =( 'v_s____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.80/1.21 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.21 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.80/1.21 Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.80/1.21 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'(
% 0.80/1.21 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =(
% 0.80/1.21 'c_Polynomial_Opoly'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.80/1.21 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.21 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.21 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.21 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.80/1.21 , X ), X ), Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.80/1.21 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.21 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( =( 'c_Polynomial_Opoly'( 'v_p', X, 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.80/1.21 'c_Polynomial_Opoly'( 'v_q', X, 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.80/1.21 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.80/1.21 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ =( 'c_Polynomial_Opoly'( 'v_pa____', 'v_a____', 'tc_Complex_Ocomplex'
% 0.80/1.21 ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( =(
% 0.80/1.21 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.80/1.21 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.80/1.21 'c_Polynomial_Opoly'( X,
% 0.80/1.21 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.80/1.21 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.80/1.21 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.80/1.21 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ =( 'c_Polynomial_Opoly'( 'v_s____', 'v_x____', 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.80/1.21 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Polynomial_Oorder'( Z, Y
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( =( 'v_x____', 'v_a____' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.80/1.21 [ ~( =( 'v_pa____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.21 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( =( 'c_Polynomial_Opoly'( 'v_pa____', X, 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.80/1.21 'c_Polynomial_Opoly'( 'v_qa____', X, 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.80/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.80/1.21 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.80/1.21 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.80/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.21 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.21 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.80/1.21 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 0.80/1.21 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( X
% 0.80/1.21 , Y, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.80/1.21 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.80/1.21 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.21 ],
% 0.80/1.21 [ =( 'c_Polynomial_Opoly'( 'v_s____', 'v_x____', 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( =( 'c_Polynomial_Opoly'( 'v_pa____', 'v_x____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.80/1.22 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.22 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.22 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.80/1.22 ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.80/1.22 ],
% 0.80/1.22 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.80/1.22 ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.80/1.22 ],
% 0.80/1.22 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.80/1.22 ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.80/1.22 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.80/1.22 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.22 X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.22 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.22 ,
% 0.80/1.22 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.22 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.80/1.22 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.22 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.80/1.22 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.80/1.22 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.80/1.22 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.80/1.22 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.22 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.22 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.22 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.22 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.22 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.22 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.22 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.22 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.22 ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.22 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.22 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.22 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.22 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.80/1.22 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.22 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.22 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.22 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.80/1.22 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.22 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.22 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.22 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.80/1.22 X ) ) ]
% 0.80/1.22 ] .
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 percentage equality = 0.403685, percentage horn = 0.899083
% 0.80/1.22 This is a problem with some equality
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22
% 0.80/1.22 Options Used:
% 0.80/1.22
% 0.80/1.22 useres = 1
% 0.80/1.22 useparamod = 1
% 0.80/1.22 useeqrefl = 1
% 0.80/1.22 useeqfact = 1
% 0.80/1.22 usefactor = 1
% 0.80/1.22 usesimpsplitting = 0
% 0.80/1.22 usesimpdemod = 5
% 0.80/1.22 usesimpres = 3
% 0.80/1.22
% 0.80/1.22 resimpinuse = 1000
% 0.80/1.22 resimpclauses = 20000
% 0.80/1.22 substype = eqrewr
% 0.80/1.22 backwardsubs = 1
% 0.80/1.22 selectoldest = 5
% 0.80/1.22
% 0.80/1.22 litorderings [0] = split
% 0.80/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.22
% 0.80/1.22 termordering = kbo
% 0.80/1.22
% 0.80/1.22 litapriori = 0
% 0.80/1.22 termapriori = 1
% 0.80/1.22 litaposteriori = 0
% 0.80/1.22 termaposteriori = 0
% 0.80/1.22 demodaposteriori = 0
% 0.80/1.22 ordereqreflfact = 0
% 0.80/1.22
% 0.80/1.22 litselect = negord
% 0.80/1.22
% 0.80/1.22 maxweight = 15
% 0.80/1.22 maxdepth = 30000
% 0.80/1.22 maxlength = 115
% 0.80/1.22 maxnrvars = 195
% 0.80/1.22 excuselevel = 1
% 0.80/1.22 increasemaxweight = 1
% 0.80/1.22
% 0.80/1.22 maxselected = 10000000
% 0.80/1.22 maxnrclauses = 10000000
% 0.80/1.22
% 0.80/1.22 showgenerated = 0
% 0.80/1.22 showkept = 0
% 0.80/1.22 showselected = 0
% 0.80/1.22 showdeleted = 0
% 0.80/1.22 showresimp = 1
% 0.80/1.22 showstatus = 2000
% 0.80/1.22
% 0.80/1.22 prologoutput = 1
% 0.80/1.22 nrgoals = 5000000
% 0.80/1.22 totalproof = 1
% 0.80/1.22
% 0.80/1.22 Symbols occurring in the translation:
% 0.80/1.22
% 0.80/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.22 . [1, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.80/1.22 ! [4, 1] (w:0, o:54, a:1, s:1, b:0),
% 0.80/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.22 'class_Ring__and__Field_Ocomm__semiring__0' [40, 1] (w:1, o:61, a:1
% 0.80/1.22 , s:1, b:0),
% 0.80/1.22 'c_Polynomial_OpCons' [43, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.80/1.22 'c_Polynomial_Opoly' [45, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.80/1.22 'c_HOL_Otimes__class_Otimes' [46, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.80/1.22 'c_HOL_Oplus__class_Oplus' [47, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.80/1.22 'class_HOL_Ozero' [48, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.80/1.22 'tc_Polynomial_Opoly' [51, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.48/1.87 'c_HOL_Ozero__class_Ozero' [52, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.48/1.87 'class_Power_Opower' [53, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.48/1.87 'tc_nat' [54, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.48/1.87 'c_Power_Opower__class_Opower' [55, 3] (w:1, o:159, a:1, s:1, b:0),
% 1.48/1.87 'c_HOL_Oone__class_Oone' [56, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Ocomm__semiring__1' [57, 1] (w:1, o:83, a:1
% 1.48/1.87 , s:1, b:0),
% 1.48/1.87 'c_Ring__and__Field_Odvd__class_Odvd' [58, 3] (w:1, o:160, a:1, s:1
% 1.48/1.87 , b:0),
% 1.48/1.87 'class_Divides_Osemiring__div' [59, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.48/1.87 'c_Divides_Odiv__class_Odiv' [61, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.48/1.87 'class_OrderedGroup_Oab__semigroup__idem__mult' [64, 1] (w:1, o:65
% 1.48/1.87 , a:1, s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Oring' [65, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.48/1.87 'c_HOL_Ouminus__class_Ouminus' [66, 2] (w:1, o:146, a:1, s:1, b:0),
% 1.48/1.87 'class_RealVector_Oreal__normed__vector' [67, 1] (w:1, o:87, a:1, s:1
% 1.48/1.87 , b:0),
% 1.48/1.87 'c_HOL_Osgn__class_Osgn' [68, 2] (w:1, o:147, a:1, s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Ofield' [69, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Odivision__by__zero' [70, 1] (w:1, o:90, a:1
% 1.48/1.87 , s:1, b:0),
% 1.48/1.87 'c_HOL_Oinverse__class_Odivide' [71, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.48/1.87
% 1.48/1.87 'class_Ring__and__Field_Oordered__idom' [72, 1] (w:1, o:93, a:1, s:1
% 1.48/1.87 , b:0),
% 1.48/1.87 'c_HOL_Oabs__class_Oabs' [73, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Oidom' [74, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.48/1.87 'class_RealVector_Oreal__vector' [76, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.48/1.87
% 1.48/1.87 'c_HOL_Ominus__class_Ominus' [77, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.48/1.87 'c_RealVector_OscaleR__class_OscaleR' [78, 3] (w:1, o:164, a:1, s:1
% 1.48/1.87 , b:0),
% 1.48/1.87 'class_Lattices_Oboolean__algebra' [81, 1] (w:1, o:96, a:1, s:1, b:0)
% 1.48/1.87 ,
% 1.48/1.87 'class_OrderedGroup_Ogroup__add' [82, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.48/1.87
% 1.48/1.87 'class_RealVector_Oreal__normed__field' [87, 1] (w:1, o:97, a:1, s:1
% 1.48/1.87 , b:0),
% 1.48/1.87
% 1.48/1.87 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'
% 1.48/1.87 [89, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.48/1.87 'tc_Complex_Ocomplex' [90, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.48/1.87
% 1.48/1.87 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'
% 1.48/1.87 [91, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Ozero__neq__one' [92, 1] (w:1, o:100, a:1, s:
% 1.48/1.87 1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Ono__zero__divisors' [93, 1] (w:1, o:92, a:1
% 1.48/1.87 , s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Omult__zero' [94, 1] (w:1, o:91, a:1, s:1, b:
% 1.48/1.87 0),
% 1.48/1.87 'class_Ring__and__Field_Osemiring__0' [95, 1] (w:1, o:104, a:1, s:1
% 1.48/1.87 , b:0),
% 1.48/1.87 'c_Divides_Odiv__class_Omod' [96, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.48/1.87 'c_HOL_Oinverse__class_Oinverse' [97, 2] (w:1, o:149, a:1, s:1, b:0)
% 1.48/1.87 ,
% 1.48/1.87 'class_OrderedGroup_Olordered__ab__group__add' [99, 1] (w:1, o:67, a:
% 1.48/1.87 1, s:1, b:0),
% 1.48/1.87 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [100, 2] (w:1
% 1.48/1.87 , o:150, a:1, s:1, b:0),
% 1.48/1.87 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [101, 2] (w:1
% 1.48/1.87 , o:151, a:1, s:1, b:0),
% 1.48/1.87 'class_Int_Onumber__ring' [102, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Oordered__ring__strict' [105, 1] (w:1, o:106
% 1.48/1.87 , a:1, s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Odivision__ring' [106, 1] (w:1, o:107, a:1
% 1.48/1.87 , s:1, b:0),
% 1.48/1.87 'class_OrderedGroup_Ocomm__monoid__mult' [107, 1] (w:1, o:68, a:1, s:
% 1.48/1.87 1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Odvd' [108, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Ocomm__ring' [109, 1] (w:1, o:59, a:1, s:1
% 1.48/1.87 , b:0),
% 1.48/1.87 'class_Divides_Oring__div' [113, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.48/1.87 'class_OrderedGroup_Oab__semigroup__mult' [114, 1] (w:1, o:69, a:1
% 1.48/1.87 , s:1, b:0),
% 1.48/1.87 'class_RealVector_Oreal__normed__algebra' [115, 1] (w:1, o:109, a:1
% 1.48/1.87 , s:1, b:0),
% 1.48/1.87 'class_Ring__and__Field_Ocomm__semiring' [118, 1] (w:1, o:89, a:1, s:
% 1.48/1.87 1, b:0),
% 1.48/1.87 'class_OrderedGroup_Opordered__ab__group__add__abs' [119, 1] (w:1, o:
% 14.60/15.01 71, a:1, s:1, b:0),
% 14.60/15.01 'class_OrderedGroup_Oab__group__add' [121, 1] (w:1, o:72, a:1, s:1
% 14.60/15.01 , b:0),
% 14.60/15.01 'class_Ring__and__Field_Ocomm__ring__1' [122, 1] (w:1, o:60, a:1, s:1
% 14.60/15.01 , b:0),
% 14.60/15.01 'class_OrderedGroup_Ocancel__ab__semigroup__add' [123, 1] (w:1, o:73
% 14.60/15.01 , a:1, s:1, b:0),
% 14.60/15.01 'class_OrderedGroup_Ocancel__semigroup__add' [124, 1] (w:1, o:74, a:1
% 14.60/15.01 , s:1, b:0),
% 14.60/15.01 'class_SEQ_Obanach' [126, 1] (w:1, o:118, a:1, s:1, b:0),
% 14.60/15.01 'c_Transcendental_Oexp' [127, 2] (w:1, o:152, a:1, s:1, b:0),
% 14.60/15.01 'class_OrderedGroup_Omonoid__mult' [128, 1] (w:1, o:76, a:1, s:1, b:0
% 14.60/15.01 ),
% 14.60/15.01 'class_OrderedGroup_Olordered__ab__group__add__abs' [129, 1] (w:1, o:
% 14.60/15.01 75, a:1, s:1, b:0),
% 14.60/15.01 'c_Polynomial_Opcompose' [130, 3] (w:1, o:166, a:1, s:1, b:0),
% 14.60/15.01 'class_OrderedGroup_Ocomm__monoid__add' [131, 1] (w:1, o:77, a:1, s:1
% 14.60/15.01 , b:0),
% 14.60/15.01 'class_OrderedGroup_Oab__semigroup__add' [132, 1] (w:1, o:78, a:1, s:
% 14.60/15.01 1, b:0),
% 14.60/15.01 'v_qa____' [135, 0] (w:1, o:43, a:1, s:1, b:0),
% 14.60/15.01 'class_Ring__and__Field_Osemiring' [136, 1] (w:1, o:110, a:1, s:1, b:
% 14.60/15.01 0),
% 14.60/15.01 'class_RealVector_Oreal__normed__algebra__1' [137, 1] (w:1, o:111, a:
% 14.60/15.01 1, s:1, b:0),
% 14.60/15.01 'class_Ring__and__Field_Oordered__field' [138, 1] (w:1, o:112, a:1
% 14.60/15.01 , s:1, b:0),
% 14.60/15.01 'class_RealVector_Oreal__algebra' [139, 1] (w:1, o:113, a:1, s:1, b:0
% 14.60/15.01 ),
% 14.60/15.01 'class_RealVector_Oreal__field' [141, 1] (w:1, o:114, a:1, s:1, b:0)
% 14.60/15.01 ,
% 14.60/15.01 'c_Complex_Ocnj' [142, 1] (w:1, o:119, a:1, s:1, b:0),
% 14.60/15.01 'class_Ring__and__Field_Oring__1' [144, 1] (w:1, o:101, a:1, s:1, b:0
% 14.60/15.01 ),
% 14.60/15.01 'v_s____' [145, 0] (w:1, o:46, a:1, s:1, b:0),
% 14.60/15.01 'c_Polynomial_Oorder' [146, 3] (w:1, o:154, a:1, s:1, b:0),
% 14.60/15.01 'class_Ring__and__Field_Osemiring__1' [147, 1] (w:1, o:115, a:1, s:1
% 14.60/15.01 , b:0),
% 14.60/15.01 'c_Int_Oiszero' [148, 2] (w:1, o:153, a:1, s:1, b:0),
% 14.60/15.01 'class_RealVector_Oreal__normed__div__algebra' [149, 1] (w:1, o:116
% 14.60/15.01 , a:1, s:1, b:0),
% 14.60/15.01 'c_Complex_Oii' [151, 0] (w:1, o:47, a:1, s:1, b:0),
% 14.60/15.01 'class_OrderedGroup_Oordered__ab__group__add' [152, 1] (w:1, o:70, a:
% 14.60/15.01 1, s:1, b:0),
% 14.60/15.01 'class_Ring__and__Field_Osgn__if' [153, 1] (w:1, o:117, a:1, s:1, b:0
% 14.60/15.01 ),
% 14.60/15.01 'class_Ring__and__Field_Oring__no__zero__divisors' [154, 1] (w:1, o:
% 14.60/15.01 102, a:1, s:1, b:0),
% 14.60/15.01 'v_p' [155, 0] (w:1, o:41, a:1, s:1, b:0),
% 14.60/15.01 'v_q' [156, 0] (w:1, o:48, a:1, s:1, b:0),
% 14.60/15.01 'v_pa____' [157, 0] (w:1, o:42, a:1, s:1, b:0),
% 14.60/15.01 'v_a____' [158, 0] (w:1, o:49, a:1, s:1, b:0),
% 14.60/15.01 'class_Ring__and__Field_Oring__1__no__zero__divisors' [159, 1] (w:1
% 14.60/15.01 , o:103, a:1, s:1, b:0),
% 14.60/15.01 'v_x____' [160, 0] (w:1, o:50, a:1, s:1, b:0),
% 14.60/15.01 't_a' [161, 0] (w:1, o:51, a:1, s:1, b:0),
% 14.60/15.01
% 14.60/15.01 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'
% 14.60/15.01 [162, 1] (w:1, o:120, a:1, s:1, b:0),
% 14.60/15.01 'class_OrderedGroup_Omonoid__add' [163, 1] (w:1, o:79, a:1, s:1, b:0)
% 14.60/15.01 ,
% 14.60/15.01 'class_OrderedGroup_Ocancel__comm__monoid__add' [165, 1] (w:1, o:80
% 14.60/15.01 , a:1, s:1, b:0),
% 14.60/15.01 'tc_RealDef_Oreal' [166, 0] (w:1, o:53, a:1, s:1, b:0).
% 14.60/15.01
% 14.60/15.01
% 14.60/15.01 Starting Search:
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01
% 14.60/15.01 Intermediate Status:
% 14.60/15.01 Generated: 4290
% 14.60/15.01 Kept: 2034
% 14.60/15.01 Inuse: 142
% 14.60/15.01 Deleted: 4
% 14.60/15.01 Deletedinuse: 0
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01
% 14.60/15.01 Intermediate Status:
% 14.60/15.01 Generated: 12611
% 14.60/15.01 Kept: 4513
% 14.60/15.01 Inuse: 222
% 14.60/15.01 Deleted: 4
% 14.60/15.01 Deletedinuse: 0
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01
% 14.60/15.01 Intermediate Status:
% 14.60/15.01 Generated: 21085
% 14.60/15.01 Kept: 6546
% 14.60/15.01 Inuse: 252
% 14.60/15.01 Deleted: 4
% 14.60/15.01 Deletedinuse: 0
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01
% 14.60/15.01 Intermediate Status:
% 14.60/15.01 Generated: 27528
% 14.60/15.01 Kept: 8553
% 14.60/15.01 Inuse: 309
% 14.60/15.01 Deleted: 4
% 14.60/15.01 Deletedinuse: 0
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01
% 14.60/15.01 Intermediate Status:
% 14.60/15.01 Generated: 36750
% 14.60/15.01 Kept: 10573
% 14.60/15.01 Inuse: 349
% 14.60/15.01 Deleted: 4
% 14.60/15.01 Deletedinuse: 0
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01
% 14.60/15.01 Intermediate Status:
% 14.60/15.01 Generated: 47017
% 14.60/15.01 Kept: 12846
% 14.60/15.01 Inuse: 406
% 14.60/15.01 Deleted: 5
% 14.60/15.01 Deletedinuse: 0
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 14.60/15.01 Done
% 14.60/15.01
% 14.60/15.01 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 61174
% 72.61/73.11 Kept: 15188
% 72.61/73.11 Inuse: 441
% 72.61/73.11 Deleted: 5
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 72042
% 72.61/73.11 Kept: 17444
% 72.61/73.11 Inuse: 461
% 72.61/73.11 Deleted: 5
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 91988
% 72.61/73.11 Kept: 19674
% 72.61/73.11 Inuse: 505
% 72.61/73.11 Deleted: 6
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying clauses:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 113707
% 72.61/73.11 Kept: 21728
% 72.61/73.11 Inuse: 549
% 72.61/73.11 Deleted: 125
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 127047
% 72.61/73.11 Kept: 23743
% 72.61/73.11 Inuse: 584
% 72.61/73.11 Deleted: 125
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 149725
% 72.61/73.11 Kept: 26746
% 72.61/73.11 Inuse: 599
% 72.61/73.11 Deleted: 125
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 167646
% 72.61/73.11 Kept: 28831
% 72.61/73.11 Inuse: 624
% 72.61/73.11 Deleted: 125
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 189750
% 72.61/73.11 Kept: 30881
% 72.61/73.11 Inuse: 699
% 72.61/73.11 Deleted: 125
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 204570
% 72.61/73.11 Kept: 32944
% 72.61/73.11 Inuse: 739
% 72.61/73.11 Deleted: 125
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 223983
% 72.61/73.11 Kept: 35004
% 72.61/73.11 Inuse: 794
% 72.61/73.11 Deleted: 125
% 72.61/73.11 Deletedinuse: 0
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 238480
% 72.61/73.11 Kept: 37044
% 72.61/73.11 Inuse: 844
% 72.61/73.11 Deleted: 126
% 72.61/73.11 Deletedinuse: 1
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 271234
% 72.61/73.11 Kept: 39077
% 72.61/73.11 Inuse: 909
% 72.61/73.11 Deleted: 126
% 72.61/73.11 Deletedinuse: 1
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying clauses:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 289390
% 72.61/73.11 Kept: 41097
% 72.61/73.11 Inuse: 934
% 72.61/73.11 Deleted: 446
% 72.61/73.11 Deletedinuse: 3
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 306541
% 72.61/73.11 Kept: 44299
% 72.61/73.11 Inuse: 958
% 72.61/73.11 Deleted: 447
% 72.61/73.11 Deletedinuse: 4
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 328378
% 72.61/73.11 Kept: 46907
% 72.61/73.11 Inuse: 1014
% 72.61/73.11 Deleted: 447
% 72.61/73.11 Deletedinuse: 4
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 342114
% 72.61/73.11 Kept: 48980
% 72.61/73.11 Inuse: 1049
% 72.61/73.11 Deleted: 447
% 72.61/73.11 Deletedinuse: 4
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 353036
% 72.61/73.11 Kept: 50993
% 72.61/73.11 Inuse: 1076
% 72.61/73.11 Deleted: 447
% 72.61/73.11 Deletedinuse: 4
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 367546
% 72.61/73.11 Kept: 53133
% 72.61/73.11 Inuse: 1104
% 72.61/73.11 Deleted: 447
% 72.61/73.11 Deletedinuse: 4
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 384898
% 72.61/73.11 Kept: 55428
% 72.61/73.11 Inuse: 1129
% 72.61/73.11 Deleted: 447
% 72.61/73.11 Deletedinuse: 4
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 395655
% 72.61/73.11 Kept: 57558
% 72.61/73.11 Inuse: 1144
% 72.61/73.11 Deleted: 447
% 72.61/73.11 Deletedinuse: 4
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 437708
% 72.61/73.11 Kept: 61194
% 72.61/73.11 Inuse: 1159
% 72.61/73.11 Deleted: 449
% 72.61/73.11 Deletedinuse: 6
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying clauses:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 456064
% 72.61/73.11 Kept: 63325
% 72.61/73.11 Inuse: 1179
% 72.61/73.11 Deleted: 599
% 72.61/73.11 Deletedinuse: 6
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 488025
% 72.61/73.11 Kept: 66036
% 72.61/73.11 Inuse: 1189
% 72.61/73.11 Deleted: 599
% 72.61/73.11 Deletedinuse: 6
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 500004
% 72.61/73.11 Kept: 68048
% 72.61/73.11 Inuse: 1225
% 72.61/73.11 Deleted: 599
% 72.61/73.11 Deletedinuse: 6
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate Status:
% 72.61/73.11 Generated: 519693
% 72.61/73.11 Kept: 70715
% 72.61/73.11 Inuse: 1263
% 72.61/73.11 Deleted: 601
% 72.61/73.11 Deletedinuse: 7
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11 Resimplifying inuse:
% 72.61/73.11 Done
% 72.61/73.11
% 72.61/73.11
% 72.61/73.11 Intermediate StCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------