TSTP Solution File: ALG416-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG416-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 12:10:50 EDT 2022
% Result : Timeout 300.03s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG416-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 8 21:05:36 EDT 2022
% 0.13/0.34 % 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 [ ~( =( 'v_na____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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 [ ~( =( 'v_qa____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ) ), 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.80/1.21 'v_pa____', 'c_Power_Opower__class_Opower'( 'v_qa____', 'v_na____',
% 0.80/1.21 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, 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_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), 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_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.80/1.21 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, 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_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 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.21 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 0.80/1.21 , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.21 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.21 , X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.21 , X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Z, Y, 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_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_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_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_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 0.80/1.21 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.80/1.21 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 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_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_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_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 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.21 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 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_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.80/1.21 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.80/1.21 , X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.80/1.21 Z, 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.80/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.21 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.80/1.21 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 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_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.21 ,
% 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_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_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'( 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_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.80/1.21 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.21 , 'c_HOL_Otimes__class_Otimes'( 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_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_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_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_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.21 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.80/1.21 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.80/1.21 ,
% 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 [ ~( '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__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_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_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 ) ),
% 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_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_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 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 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 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.21 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 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 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.21 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.21 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.21 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.21 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.21 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.21 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.21 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , 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_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 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'( 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_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 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_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, 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_Oordered__semidom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.21 ,
% 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_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 ), 'c_Suc'( Y ), X ),
% 0.80/1.21 '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, '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_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.21 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.80/1.21 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 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_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( 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_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.21 Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.80/1.21 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.21 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.80/1.21 ), Y, X ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.80/1.21 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 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_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 ),
% 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_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 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 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 [ ~( 'class_Ring__and__Field_Ocomm__ring__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_Ouminus__class_Ouminus'( 'c_Power_Opower__class_Opower'( Y
% 0.80/1.21 , Z, X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__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_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( 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_Polynomial_Opoly'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_Polynomial_Opoly'( Y, T, X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, 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_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.21 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( T, 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_Oinverse__class_Oinverse'( Y, X
% 0.80/1.21 ), X ), Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Odegree'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.80/1.21 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( 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_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.80/1.21 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.21 ), =( Z, Y ) ],
% 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_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_Oordered__field'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.80/1.21 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.21 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 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_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.80/1.21 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, 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_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( '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_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.80/1.21 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.21 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Suc'( T ), X ),
% 0.80/1.21 'c_Polynomial_Ocoeff'( Z, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), Y, 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_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.80/1.21 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.21 '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_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.80/1.21 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.80/1.21 '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_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.21 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.80/1.21 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.80/1.21 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_nat' ), 'tc_nat' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, 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_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 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_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.80/1.21 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.80/1.21 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.21 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.80/1.21 , X ), Y ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 0.80/1.21 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 0.80/1.21 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Opoly'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.21 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, 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_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ),
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.21 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 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 ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.80/1.21 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.80/1.21 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z
% 0.80/1.21 , 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, 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_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_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_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_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.80/1.21 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ),
% 0.80/1.21 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.80/1.21 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.80/1.21 'c_Suc'( 'c_Polynomial_Oorder'( Y, Z, X ) ), 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 , Z, 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.80/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( =( 'c_Polynomial_Oorder'( 'v_a____', 'v_pa____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Odegree'( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_Polynomial_OpCons'( Y, 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'(
% 0.80/1.21 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.80/1.21 Z, 'tc_Polynomial_Opoly'( X ) ), X ), Z ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_Polynomial_Ocoeff'( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_Polynomial_OpCons'( Y, 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'(
% 0.80/1.21 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.80/1.21 Z, 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ =( 'v_qa____', 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'v_a____', 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.80/1.21 ), 'v_r____', 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.80/1.21 [ ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_Polynomial_OpCons'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'v_a____', 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.80/1.21 ), 'c_Suc'( 'c_Polynomial_Oorder'( 'v_a____', 'v_pa____',
% 0.80/1.21 'tc_Complex_Ocomplex' ) ), 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 ), 'v_pa____', 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.80/1.21 'c_Polynomial_Oorder'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ), Z,
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.80/1.21 'c_Polynomial_Oorder'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ), Z,
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.21 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( 'v_a____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'(
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'tc_Complex_Ocomplex' ), 'c_Polynomial_Oorder'( 'v_a____', 'v_pa____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) )
% 0.80/1.21 , 'v_pa____', 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ],
% 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 [ ~( '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_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_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_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_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_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 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_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.80/1.21 [ ~( =( 'v_pa____', 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_Polynomial_OpCons'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'v_a____', 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.80/1.21 ), 'c_Polynomial_Oorder'( 'v_a____', 'v_pa____', 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 0.80/1.21 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ), 'v_thesis____' ]
% 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 [ ~( '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_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_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_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_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_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_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_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_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 [ 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( 'v_a____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'(
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'tc_Complex_Ocomplex' ), 'c_Polynomial_Oorder'( 'v_a____', 'v_pa____',
% 0.80/1.21 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) )
% 0.80/1.21 , 'v_pa____', 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.21 [ ~( 'v_thesis____' ) ],
% 0.80/1.21 [ ~( =( 'v_pa____', 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_Power_Opower__class_Opower'( 'c_Polynomial_OpCons'(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'v_a____', 'tc_Complex_Ocomplex' ),
% 0.80/1.21 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.80/1.21 ), 'c_Polynomial_Oorder'( 'v_a____', 'v_pa____', 'tc_Complex_Ocomplex' )
% 0.80/1.21 , 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 0.80/1.21 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ), 'v_thesis____' ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semidom'( '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_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.80/1.21 [ 'class_Orderings_Oorder'( '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_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.21 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.21 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.80/1.21 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.21 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.21 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.21 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.21 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.21 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.21 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.21 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.21 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.80/1.21 X ) ) ]
% 0.80/1.21 ] .
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 percentage equality = 0.161342, percentage horn = 0.860674
% 0.80/1.21 This is a problem with some equality
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Options Used:
% 0.80/1.21
% 0.80/1.21 useres = 1
% 0.80/1.21 useparamod = 1
% 0.80/1.21 useeqrefl = 1
% 0.80/1.21 useeqfact = 1
% 0.80/1.21 usefactor = 1
% 1.81/2.18 usesimpsplitting = 0
% 1.81/2.18 usesimpdemod = 5
% 1.81/2.18 usesimpres = 3
% 1.81/2.18
% 1.81/2.18 resimpinuse = 1000
% 1.81/2.18 resimpclauses = 20000
% 1.81/2.18 substype = eqrewr
% 1.81/2.18 backwardsubs = 1
% 1.81/2.18 selectoldest = 5
% 1.81/2.18
% 1.81/2.18 litorderings [0] = split
% 1.81/2.18 litorderings [1] = extend the termordering, first sorting on arguments
% 1.81/2.18
% 1.81/2.18 termordering = kbo
% 1.81/2.18
% 1.81/2.18 litapriori = 0
% 1.81/2.18 termapriori = 1
% 1.81/2.18 litaposteriori = 0
% 1.81/2.18 termaposteriori = 0
% 1.81/2.18 demodaposteriori = 0
% 1.81/2.18 ordereqreflfact = 0
% 1.81/2.18
% 1.81/2.18 litselect = negord
% 1.81/2.18
% 1.81/2.18 maxweight = 15
% 1.81/2.18 maxdepth = 30000
% 1.81/2.18 maxlength = 115
% 1.81/2.18 maxnrvars = 195
% 1.81/2.18 excuselevel = 1
% 1.81/2.18 increasemaxweight = 1
% 1.81/2.18
% 1.81/2.18 maxselected = 10000000
% 1.81/2.18 maxnrclauses = 10000000
% 1.81/2.18
% 1.81/2.18 showgenerated = 0
% 1.81/2.18 showkept = 0
% 1.81/2.18 showselected = 0
% 1.81/2.18 showdeleted = 0
% 1.81/2.18 showresimp = 1
% 1.81/2.18 showstatus = 2000
% 1.81/2.18
% 1.81/2.18 prologoutput = 1
% 1.81/2.18 nrgoals = 5000000
% 1.81/2.18 totalproof = 1
% 1.81/2.18
% 1.81/2.18 Symbols occurring in the translation:
% 1.81/2.18
% 1.81/2.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.81/2.18 . [1, 2] (w:1, o:94, a:1, s:1, b:0),
% 1.81/2.18 ! [4, 1] (w:0, o:39, a:1, s:1, b:0),
% 1.81/2.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.81/2.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.81/2.18 'v_na____' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.81/2.18 'tc_nat' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.81/2.18 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.81/2.18 'class_Ring__and__Field_Opordered__cancel__semiring' [43, 1] (w:1, o:
% 1.81/2.18 54, a:1, s:1, b:0),
% 1.81/2.18 'c_HOL_Otimes__class_Otimes' [46, 3] (w:1, o:123, a:1, s:1, b:0),
% 1.81/2.18 'c_lessequals' [47, 3] (w:1, o:124, a:1, s:1, b:0),
% 1.81/2.18 'class_Ring__and__Field_Oordered__ring__strict' [48, 1] (w:1, o:47
% 1.81/2.18 , a:1, s:1, b:0),
% 1.81/2.18 'c_HOL_Oord__class_Oless' [49, 3] (w:1, o:125, a:1, s:1, b:0),
% 1.81/2.18 'v_qa____' [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.81/2.18 'tc_Complex_Ocomplex' [52, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.81/2.18 'tc_Polynomial_Opoly' [53, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.81/2.18 'v_pa____' [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.81/2.18 'c_Power_Opower__class_Opower' [55, 3] (w:1, o:126, a:1, s:1, b:0),
% 1.81/2.18 'c_Ring__and__Field_Odvd__class_Odvd' [56, 3] (w:1, o:127, a:1, s:1
% 1.81/2.18 , b:0),
% 1.81/2.18 'class_Ring__and__Field_Odivision__ring' [57, 1] (w:1, o:60, a:1, s:1
% 1.81/2.18 , b:0),
% 1.81/2.18 'c_HOL_Oinverse__class_Oinverse' [58, 2] (w:1, o:119, a:1, s:1, b:0)
% 1.81/2.18 ,
% 1.81/2.18 'class_Ring__and__Field_Oidom' [59, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.81/2.18 'c_Polynomial_Oorder' [61, 3] (w:1, o:128, a:1, s:1, b:0),
% 1.81/2.18 'c_Polynomial_Opoly' [62, 3] (w:1, o:129, a:1, s:1, b:0),
% 1.81/2.18 'class_Ring__and__Field_Oordered__semidom' [63, 1] (w:1, o:48, a:1
% 1.81/2.18 , s:1, b:0),
% 1.81/2.18 'c_Suc' [65, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.81/2.18 'c_HOL_Oone__class_Oone' [66, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.81/2.18 'class_HOL_Ozero' [67, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.81/2.18 'c_Polynomial_OpCons' [68, 3] (w:1, o:130, a:1, s:1, b:0),
% 1.81/2.18 'c_Polynomial_Odegree' [69, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.81/2.18 'class_OrderedGroup_Opordered__ab__group__add' [70, 1] (w:1, o:66, a:
% 1.81/2.18 1, s:1, b:0),
% 1.81/2.18 'c_HOL_Ouminus__class_Ouminus' [71, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.81/2.18 'class_Ring__and__Field_Odivision__by__zero' [72, 1] (w:1, o:67, a:1
% 1.81/2.18 , s:1, b:0),
% 1.81/2.18 'class_Ring__and__Field_Ocomm__ring__1' [73, 1] (w:1, o:56, a:1, s:1
% 1.81/2.18 , b:0),
% 1.81/2.18 'class_Ring__and__Field_Ocomm__semiring__1' [76, 1] (w:1, o:59, a:1
% 1.81/2.18 , s:1, b:0),
% 1.81/2.18 'c_Polynomial_Ocoeff' [77, 3] (w:1, o:131, a:1, s:1, b:0),
% 1.81/2.18 'class_Ring__and__Field_Ofield' [78, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.81/2.18 'class_OrderedGroup_Omonoid__mult' [79, 1] (w:1, o:70, a:1, s:1, b:0)
% 1.81/2.18 ,
% 1.81/2.18 'c_Parity_Oeven__odd__class_Oeven' [80, 2] (w:1, o:122, a:1, s:1, b:0
% 1.81/2.18 ),
% 1.81/2.18 'class_Ring__and__Field_Oordered__idom' [81, 1] (w:1, o:49, a:1, s:1
% 1.81/2.18 , b:0),
% 1.81/2.18 'class_Ring__and__Field_Oordered__field' [82, 1] (w:1, o:50, a:1, s:1
% 1.81/2.18 , b:0),
% 1.81/2.18 'class_Ring__and__Field_Odvd' [83, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.81/2.18 'class_Ring__and__Field_Oordered__semiring__strict' [86, 1] (w:1, o:
% 1.81/2.18 51, a:1, s:1, b:0),
% 1.81/2.18 'class_Ring__and__Field_Oordered__semiring' [87, 1] (w:1, o:52, a:1
% 1.81/2.18 , s:1, b:0),
% 1.81/2.18 'class_Ring__and__Field_Opordered__semiring' [88, 1] (w:1, o:73, a:1
% 10.46/10.88 , s:1, b:0),
% 10.46/10.88 'class_Ring__and__Field_Opordered__ring' [89, 1] (w:1, o:72, a:1, s:1
% 10.46/10.88 , b:0),
% 10.46/10.88 'class_Ring__and__Field_Omult__mono' [90, 1] (w:1, o:74, a:1, s:1, b:
% 10.46/10.88 0),
% 10.46/10.88 'class_Ring__and__Field_Omult__mono1' [91, 1] (w:1, o:75, a:1, s:1
% 10.46/10.88 , b:0),
% 10.46/10.88 'class_Ring__and__Field_Oordered__comm__semiring__strict' [92, 1] (w:
% 10.46/10.88 1, o:53, a:1, s:1, b:0),
% 10.46/10.88 'class_Ring__and__Field_Osemiring__0' [94, 1] (w:1, o:80, a:1, s:1
% 10.46/10.88 , b:0),
% 10.46/10.88 'class_Power_Opower' [95, 1] (w:1, o:89, a:1, s:1, b:0),
% 10.46/10.88 'class_Ring__and__Field_Ozero__neq__one' [96, 1] (w:1, o:90, a:1, s:1
% 10.46/10.88 , b:0),
% 10.46/10.88 'class_Ring__and__Field_Ono__zero__divisors' [97, 1] (w:1, o:46, a:1
% 10.46/10.88 , s:1, b:0),
% 10.46/10.88 'class_Ring__and__Field_Omult__zero' [98, 1] (w:1, o:45, a:1, s:1, b:
% 10.46/10.88 0),
% 10.46/10.88 'class_OrderedGroup_Oordered__ab__group__add' [99, 1] (w:1, o:65, a:1
% 10.46/10.88 , s:1, b:0),
% 10.46/10.88 'class_OrderedGroup_Olordered__ab__group__add' [100, 1] (w:1, o:69
% 10.46/10.88 , a:1, s:1, b:0),
% 10.46/10.88 'class_Ring__and__Field_Ocomm__semiring__0' [102, 1] (w:1, o:58, a:1
% 10.46/10.88 , s:1, b:0),
% 10.46/10.88 'class_Orderings_Olinorder' [103, 1] (w:1, o:81, a:1, s:1, b:0),
% 10.46/10.88 'class_Orderings_Opreorder' [104, 1] (w:1, o:83, a:1, s:1, b:0),
% 10.46/10.88 'class_Orderings_Oorder' [106, 1] (w:1, o:82, a:1, s:1, b:0),
% 10.46/10.88 'v_a____' [109, 0] (w:1, o:32, a:1, s:1, b:0),
% 10.46/10.88 'v_r____' [110, 0] (w:1, o:33, a:1, s:1, b:0),
% 10.46/10.88 'class_OrderedGroup_Ogroup__add' [111, 1] (w:1, o:84, a:1, s:1, b:0)
% 10.46/10.88 ,
% 10.46/10.88 'class_Ring__and__Field_Oring' [112, 1] (w:1, o:76, a:1, s:1, b:0),
% 10.46/10.88 'class_Ring__and__Field_Oring__no__zero__divisors' [113, 1] (w:1, o:
% 10.46/10.88 77, a:1, s:1, b:0),
% 10.46/10.88 'class_RealVector_Oreal__normed__algebra' [114, 1] (w:1, o:91, a:1
% 10.46/10.88 , s:1, b:0),
% 10.46/10.88 'class_Ring__and__Field_Oring__1' [115, 1] (w:1, o:78, a:1, s:1, b:0)
% 10.46/10.88 ,
% 10.46/10.88 'class_OrderedGroup_Oab__semigroup__mult' [121, 1] (w:1, o:85, a:1
% 10.46/10.88 , s:1, b:0),
% 10.46/10.88 'class_Int_Onumber__ring' [122, 1] (w:1, o:92, a:1, s:1, b:0),
% 10.46/10.88 'class_OrderedGroup_Ocomm__monoid__mult' [123, 1] (w:1, o:86, a:1, s:
% 10.46/10.88 1, b:0),
% 10.46/10.88 'class_OrderedGroup_Oab__semigroup__idem__mult' [124, 1] (w:1, o:87
% 10.46/10.88 , a:1, s:1, b:0),
% 10.46/10.88 'v_thesis____' [126, 0] (w:1, o:37, a:1, s:1, b:0),
% 10.46/10.88 'class_Ring__and__Field_Oring__1__no__zero__divisors' [127, 1] (w:1
% 10.46/10.88 , o:79, a:1, s:1, b:0),
% 10.46/10.88 'class_Lattices_Oboolean__algebra' [128, 1] (w:1, o:93, a:1, s:1, b:0
% 10.46/10.88 ),
% 10.46/10.88 'class_OrderedGroup_Oab__group__add' [130, 1] (w:1, o:88, a:1, s:1
% 10.46/10.88 , b:0),
% 10.46/10.88 'class_Ring__and__Field_Ocomm__ring' [131, 1] (w:1, o:57, a:1, s:1
% 10.46/10.88 , b:0).
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Starting Search:
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Intermediate Status:
% 10.46/10.88 Generated: 5080
% 10.46/10.88 Kept: 2242
% 10.46/10.88 Inuse: 194
% 10.46/10.88 Deleted: 2
% 10.46/10.88 Deletedinuse: 0
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Intermediate Status:
% 10.46/10.88 Generated: 13265
% 10.46/10.88 Kept: 4279
% 10.46/10.88 Inuse: 298
% 10.46/10.88 Deleted: 3
% 10.46/10.88 Deletedinuse: 0
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Intermediate Status:
% 10.46/10.88 Generated: 21629
% 10.46/10.88 Kept: 6279
% 10.46/10.88 Inuse: 423
% 10.46/10.88 Deleted: 3
% 10.46/10.88 Deletedinuse: 0
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Intermediate Status:
% 10.46/10.88 Generated: 41295
% 10.46/10.88 Kept: 8895
% 10.46/10.88 Inuse: 462
% 10.46/10.88 Deleted: 4
% 10.46/10.88 Deletedinuse: 0
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Intermediate Status:
% 10.46/10.88 Generated: 49954
% 10.46/10.88 Kept: 11003
% 10.46/10.88 Inuse: 486
% 10.46/10.88 Deleted: 6
% 10.46/10.88 Deletedinuse: 1
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Intermediate Status:
% 10.46/10.88 Generated: 58031
% 10.46/10.88 Kept: 13006
% 10.46/10.88 Inuse: 512
% 10.46/10.88 Deleted: 6
% 10.46/10.88 Deletedinuse: 1
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Intermediate Status:
% 10.46/10.88 Generated: 69166
% 10.46/10.88 Kept: 15087
% 10.46/10.88 Inuse: 585
% 10.46/10.88 Deleted: 9
% 10.46/10.88 Deletedinuse: 3
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Intermediate Status:
% 10.46/10.88 Generated: 79575
% 10.46/10.88 Kept: 17202
% 10.46/10.88 Inuse: 649
% 10.46/10.88 Deleted: 10
% 10.46/10.88 Deletedinuse: 3
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88
% 10.46/10.88 Intermediate Status:
% 10.46/10.88 Generated: 92093
% 10.46/10.88 Kept: 19646
% 10.46/10.88 Inuse: 677
% 10.46/10.88 Deleted: 12
% 10.46/10.88 Deletedinuse: 3
% 10.46/10.88
% 10.46/10.88 Resimplifying inuse:
% 10.46/10.88 Done
% 10.46/10.88
% 10.46/10.88 ResCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------