TSTP Solution File: ALG390-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG390-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:41 EDT 2022
% Result : Timeout 300.01s 300.48s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG390-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 20:09:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.96/1.33 *** allocated 10000 integers for termspace/termends
% 0.96/1.33 *** allocated 10000 integers for clauses
% 0.96/1.33 *** allocated 10000 integers for justifications
% 0.96/1.33 *** allocated 15000 integers for termspace/termends
% 0.96/1.33 *** allocated 22500 integers for termspace/termends
% 0.96/1.33 Bliksem 1.12
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Automatic Strategy Selection
% 0.96/1.33
% 0.96/1.33 Clauses:
% 0.96/1.33 [
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.96/1.33 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.96/1.33 X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.33 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.33 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.96/1.33 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.96/1.33 , X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.96/1.33 , X ), X ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.96/1.33 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.96/1.33 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Z,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.33 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat'
% 0.96/1.33 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.96/1.33 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 0.96/1.33 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, U, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.33 , T, X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , T, X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.96/1.33 'c_Polynomial_Omonom'( Y, Z, X ), X ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), X ), T ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Polynomial_Ocoeff'( Z, X ), T )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( Y, Z, 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, Z,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.96/1.33 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.33 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_Polynomial_OpCons'( hAPP( 'c_Polynomial_Opoly'( Z, X ), T ),
% 0.96/1.33 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.96/1.33 , X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.96/1.33 , X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.96/1.33 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.96/1.33 , X ), X ), Y ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.96/1.33 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.96/1.33 , X ), T, X ), W, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.96/1.33 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.96/1.33 Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.96/1.33 ), Y ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , U, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.96/1.33 ), Y ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y, 'c_Suc'( Z )
% 0.96/1.33 , X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Polynomial_Omonom'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.33 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_Nat_Osize__class_Osize'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.96/1.33 [ =( 'c_nat_Onat__size'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.96/1.33 'c_Polynomial_Omonom'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.33 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_nat' ), X ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat' ) ), 'tc_nat' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.96/1.33 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.96/1.33 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.96/1.33 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.96/1.33 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.96/1.33 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 0.96/1.33 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_nat' ), X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.96/1.33 X ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.96/1.33 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.96/1.33 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.96/1.33 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y, X ),
% 0.96/1.33 'c_Polynomial_Ocoeff'( Z, X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.33 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.33 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.96/1.33 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.96/1.33 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.96/1.33 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.96/1.33 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), Y ) ],
% 0.96/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'c_Divides_Odiv__class_Omod'( Y, T,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.96/1.33 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.96/1.33 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.96/1.33 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.33 ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.96/1.33 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( T ) ), hAPP(
% 0.96/1.33 'c_Polynomial_Ocoeff'( Z, X ), T ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 0.96/1.33 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, T, U, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.96/1.33 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.96/1.33 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.96/1.33 X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.96/1.33 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ) ), Y ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.33 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Int_Onumber'( X ) ), ~( 'class_Divides_Osemiring__div'( X )
% 0.96/1.33 ), =( 'c_Divides_Odiv__class_Omod'( 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.33 Y, X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.33 Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Int_Onumber'( X ) ), ~( 'class_Divides_Osemiring__div'( X )
% 0.96/1.33 ), ~( =( 'c_Divides_Odiv__class_Omod'(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.33 Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.96/1.33 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.33 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Ocoeff'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 0.96/1.33 ) ), 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Polynomial_Ocoeff'( Y, X ),
% 0.96/1.33 'c_Polynomial_Odegree'( Y, X ) ), hAPP( 'c_Polynomial_Ocoeff'( Z, X ),
% 0.96/1.33 'c_Polynomial_Odegree'( Z, X ) ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.96/1.33 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.96/1.33 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.96/1.33 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Z, T, 'tc_nat' ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.96/1.33 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.96/1.33 , T ), =( X, Z ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.96/1.33 , T ), =( X, Z ) ],
% 0.96/1.33 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ) ), hBOOL(
% 0.96/1.33 hAPP( X, Z ) ) ],
% 0.96/1.33 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ) ), hBOOL(
% 0.96/1.33 hAPP( X, Z ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.33 Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.96/1.33 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.33 Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.96/1.33 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 0.96/1.33 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 0.96/1.33 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.33 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.96/1.33 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) ), X
% 0.96/1.33 ), T ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( T
% 0.96/1.33 , Y, X ), hAPP( 'c_Polynomial_Opoly'( Z, X ), T ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.96/1.33 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'v_cs____', 't_a' ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( X,
% 0.96/1.33 'v_sko__local__XpCons__1__1'( 'v_cs____' ), 't_a' ), hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_sko__local__XpCons__1__2'(
% 0.96/1.33 'v_cs____' ), 'v_sko__local__XpCons__1__3'( 'v_cs____' ), 't_a' ), 't_a'
% 0.96/1.33 ), X ), 't_a' ) ), =( hAPP( 'c_Polynomial_Opoly'( 'v_cs____', 't_a' ), Y
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'v_cs____', 't_a' ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( X,
% 0.96/1.33 'v_sko__local__XpCons__Xhyps__1'( 'v_cs____' ), 't_a' ), hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.96/1.33 'v_sko__local__XpCons__Xhyps__2'( 'v_cs____' ),
% 0.96/1.33 'v_sko__local__XpCons__Xhyps__3'( 'v_cs____' ), 't_a' ), 't_a' ), X ),
% 0.96/1.33 't_a' ) ), =( hAPP( 'c_Polynomial_Opoly'( 'v_cs____', 't_a' ), Y ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 't_a' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.33 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.33 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.33 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.33 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.96/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.96/1.33 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.96/1.33 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.96/1.33 W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.96/1.33 , X ), T, X ), W, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.96/1.33 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.96/1.33 W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.33 Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.33 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.33 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.33 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.33 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.33 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.33 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.33 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.96/1.33 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.96/1.33 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 0.96/1.33 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), W, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.96/1.33 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 0.96/1.33 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.33 ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.33 , 'tc_nat' ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.33 'tc_nat' ), X ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.33 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.96/1.33 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.96/1.33 ), Y, X ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.96/1.33 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.96/1.33 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.96/1.33 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ), =( Y, Z ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.33 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.96/1.33 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.96/1.33 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), Y ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.96/1.33 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.96/1.33 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.96/1.33 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 0.96/1.33 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.96/1.33 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.96/1.33 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.96/1.33 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.96/1.33 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =(
% 0.96/1.33 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 0.96/1.33 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), Y ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ),
% 0.96/1.33 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), X ), T ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Polynomial_Opoly'( Z, X ), T )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), X ), T ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 hAPP( 'c_Polynomial_Opoly'( Y, X ), T ), hAPP( 'c_Polynomial_Opoly'( Z, X
% 0.96/1.33 ), T ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.96/1.33 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ) ), X, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ) ), X, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1'( X ) )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , X, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ =( X, 'c_Suc'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ) ) ), =(
% 0.96/1.33 X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1'( X
% 0.96/1.33 ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ), Y,
% 0.96/1.33 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_nat_Onat__size'( 'c_Suc'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_nat_Onat__size'( X ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_Nat_Osize__class_Osize'( 'c_Suc'( X ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_Nat_Osize__class_Osize'( X, 'tc_nat' ),
% 0.96/1.33 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_ATP__Linkup_Osko__Nat__Xless__imp__Suc__add__1__1'( Y, X ), 'tc_nat' )
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_ATP__Linkup_Osko__Nat__Xless__iff__Suc__add__1__1'( Y, X ), 'tc_nat' )
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.96/1.33 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'( Y, X ), Z
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Polynomial_Odegree'( Y, X ), Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), T ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T, hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( Z, X ), T ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 0.96/1.33 'c_Polynomial_Oorder'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.96/1.33 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.96/1.33 X ) ), X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( hAPP( 'c_Polynomial_Ocoeff'( Y, X )
% 0.96/1.33 , 'c_Polynomial_Odegree'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.96/1.33 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), X ), T ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.96/1.33 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.96/1.33 ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.96/1.33 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ) ) ), =( 'c_Polynomial_Odegree'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.96/1.33 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =(
% 0.96/1.33 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Y, X ), 'c_Suc'(
% 0.96/1.33 'c_Polynomial_Odegree'( Y, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.96/1.33 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 0.96/1.33 , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 0.96/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =(
% 0.96/1.33 Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.96/1.33 'c_Polynomial_Opdivmod__rel'( T, Z, U, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Polynomial_Odegree'( Y, X ),
% 0.96/1.33 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Polynomial_Odegree'( 'c_Divides_Odiv__class_Omod'( Y, Z,
% 0.96/1.33 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Z, X ),
% 0.96/1.33 'tc_nat' ), =( 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.96/1.33 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'( Y, X ),
% 0.96/1.33 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.96/1.33 'v_sko__local__XpCons__1__2'( 'v_cs____' ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 't_a' ) ) ), =( hAPP( 'c_Polynomial_Opoly'( 'v_cs____', 't_a' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 't_a' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.96/1.33 'v_sko__local__XpCons__Xhyps__2'( 'v_cs____' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( hAPP( 'c_Polynomial_Opoly'(
% 0.96/1.33 'v_cs____', 't_a' ), X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Archimedean__Field_Oarchimedean__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'(
% 0.96/1.33 Y, X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.33 'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z,
% 0.96/1.33 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.96/1.33 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'(
% 0.96/1.33 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( Z, X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), =( 'c_Suc'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_OIf'( 'c_fequal'(
% 0.96/1.33 'v_sko__local__XpCons__Xhyps__3'( 'v_cs____' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.96/1.33 'tc_Polynomial_Opoly'( 't_a' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , 'c_Suc'( 'c_Polynomial_Odegree'( 'v_sko__local__XpCons__Xhyps__3'(
% 0.96/1.33 'v_cs____' ), 't_a' ) ), 'tc_nat' ), 'v_sko__local__XpCons__Xhyps__1'(
% 0.96/1.33 'v_cs____' ), 'tc_nat' ) ), 'c_Suc'( 'c_Polynomial_Odegree'( 'v_cs____',
% 0.96/1.33 't_a' ) ) ), =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( 't_a' ) ) ), =( hAPP( 'c_Polynomial_Opoly'(
% 0.96/1.33 'v_cs____', 't_a' ), X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), =( 'c_Suc'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_OIf'( 'c_fequal'(
% 0.96/1.33 'v_sko__local__XpCons__1__3'( 'v_cs____' ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_Polynomial_Opoly'( 't_a' ) ), 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( 'c_Polynomial_Odegree'(
% 0.96/1.33 'v_sko__local__XpCons__1__3'( 'v_cs____' ), 't_a' ) ), 'tc_nat' ),
% 0.96/1.33 'v_sko__local__XpCons__1__1'( 'v_cs____' ), 'tc_nat' ) ), 'c_Suc'(
% 0.96/1.33 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ), =( 'v_cs____',
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'v_cs____', 't_a' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 't_a' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 'v_cs____',
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ) ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'v_cs____', 't_a' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 't_a' ) ), =( 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_OIf'(
% 0.96/1.33 'c_fequal'( 'v_sko__local__XpCons__1__3'( 'v_cs____' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.96/1.33 'tc_Polynomial_Opoly'( 't_a' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , 'c_Suc'( 'c_Polynomial_Odegree'( 'v_sko__local__XpCons__1__3'(
% 0.96/1.33 'v_cs____' ), 't_a' ) ), 'tc_nat' ), 'v_sko__local__XpCons__1__1'(
% 0.96/1.33 'v_cs____' ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =( 'v_cs____',
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ) ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'v_cs____', 't_a' ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 't_a' ) ), =( 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_OIf'(
% 0.96/1.33 'c_fequal'( 'v_sko__local__XpCons__Xhyps__3'( 'v_cs____' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.96/1.33 'tc_Polynomial_Opoly'( 't_a' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , 'c_Suc'( 'c_Polynomial_Odegree'( 'v_sko__local__XpCons__Xhyps__3'(
% 0.96/1.33 'v_cs____' ), 't_a' ) ), 'tc_nat' ), 'v_sko__local__XpCons__Xhyps__1'(
% 0.96/1.33 'v_cs____' ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.33 T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.33 X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.33 T, X ), X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.33 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.96/1.33 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.96/1.33 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.33 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.33 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.96/1.33 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.33 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.33 ), =( Z, Y ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.96/1.33 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.96/1.33 X ) ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.96/1.33 X ) ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.96/1.33 X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.96/1.33 X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.33 X ) ) ), =( Y, T ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 X, T, 'tc_nat' ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.96/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.96/1.33 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, T, X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.96/1.33 'class_Int_Oring__char__0'( X ) ), ~( =( 'c_Polynomial_Opoly'( Y, X ),
% 0.96/1.33 'c_Polynomial_Opoly'( Z, X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.96/1.33 'class_Int_Oring__char__0'( X ) ), ~( =( 'c_Polynomial_Opoly'( Y, X ),
% 0.96/1.33 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.96/1.33 X ) ), X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.96/1.33 X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.96/1.33 'tc_nat' ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.96/1.33 Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.33 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.33 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.33 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.34 Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.34 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.34 ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.34 , Y, X ) ) ],
% 0.96/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.34 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.34 , Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.34 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.34 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.34 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.96/1.34 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.34 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.34 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.34 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.34 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.34 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.96/1.34 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.96/1.34 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 Y, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.96/1.34 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.34 'c_Suc'( X ), 'tc_nat' ) ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.34 'c_Suc'( X ), 'tc_nat' ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.96/1.34 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.96/1.34 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.96/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.34 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.34 ), 'tc_nat' ), X ) ],
% 0.96/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.34 , X, 'tc_nat' ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oidom'( 't_a' ) ],
% 0.96/1.34 [ ~( =( 'v_z', 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.96/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'v_a', 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'v_z', hAPP( 'c_Polynomial_Opoly'( 'v_q', 't_a' ), 'v_z' ), 't_a' ),
% 0.96/1.34 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.96/1.34 [ ~( =( 'v_a', 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.96/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_OIf'( 'c_fequal'( 'v_q',
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.96/1.34 'tc_Polynomial_Opoly'( 't_a' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.34 , 'c_Suc'( 'c_Polynomial_Odegree'( 'v_q', 't_a' ) ), 'tc_nat' ), 'v_k',
% 0.96/1.34 'tc_nat' ), 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ],
% 0.96/1.34 [ =( hAPP( 'c_Polynomial_Opoly'( 'v_cs____', 't_a' ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( X, 'v_k',
% 0.96/1.34 't_a' ), 'c_HOL_Oplus__class_Oplus'( 'v_a', 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 X, hAPP( 'c_Polynomial_Opoly'( 'v_q', 't_a' ), X ), 't_a' ), 't_a' ),
% 0.96/1.34 't_a' ) ) ],
% 0.96/1.34 [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.96/1.34 't_a' ) ) ) ) ],
% 0.96/1.34 [ ~( =( 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'(
% 0.96/1.34 'v_q', 't_a' ), 'v_k', 'tc_nat' ) ), 'c_Polynomial_Odegree'( 'v_cs____',
% 0.96/1.34 't_a' ) ) ), =( 'v_q', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.96/1.34 't_a' ) ) ) ],
% 0.96/1.34 [ ~( =( 'v_q', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a'
% 0.96/1.34 ) ) ) ), ~( =( 'v_x', 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), ~( =(
% 0.96/1.34 'v_k', 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ) ],
% 0.96/1.34 [ ~( =( 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'(
% 0.96/1.34 'v_q', 't_a' ), 'v_k', 'tc_nat' ) ), 'c_Polynomial_Odegree'( 'v_cs____',
% 0.96/1.34 't_a' ) ) ), ~( =( 'v_x', 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), ~( =(
% 0.96/1.34 'v_k', 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ) ],
% 0.96/1.34 [ ~( =( 'v_q', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a'
% 0.96/1.34 ) ) ) ), ~( =( 'v_x', 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), ~( =(
% 0.96/1.34 'v_k', 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ) ],
% 0.96/1.34 [ ~( =( 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'(
% 0.96/1.34 'v_q', 't_a' ), 'v_k', 'tc_nat' ) ), 'c_Polynomial_Odegree'( 'v_cs____',
% 0.96/1.34 't_a' ) ) ), ~( =( 'v_x', 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), ~( =(
% 0.96/1.34 'v_k', 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ) ],
% 0.96/1.34 [ ~( =( 'v_q', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a'
% 0.96/1.34 ) ) ) ), ~( =( hAPP( 'c_Polynomial_Opoly'( 'v_q', 't_a' ), 'v_x' ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), ~( =( 'v_k',
% 0.96/1.34 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ) ],
% 0.96/1.34 [ ~( =( 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'(
% 0.96/1.34 'v_q', 't_a' ), 'v_k', 'tc_nat' ) ), 'c_Polynomial_Odegree'( 'v_cs____',
% 0.96/1.34 't_a' ) ) ), ~( =( hAPP( 'c_Polynomial_Opoly'( 'v_q', 't_a' ), 'v_x' ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), ~( =( 'v_k',
% 0.96/1.34 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) ) ],
% 0.96/1.34 [ ~( =( 'v_q', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a'
% 0.96/1.34 ) ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_nat' ), 'v_k', 'tc_nat' ) ), ~( =( 'v_x', 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 't_a' ) ) ), ~( =( 'v_k', 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( =( 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'(
% 0.96/1.34 'v_q', 't_a' ), 'v_k', 'tc_nat' ) ), 'c_Polynomial_Odegree'( 'v_cs____',
% 0.96/1.34 't_a' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_nat' ), 'v_k', 'tc_nat' ) ), ~( =( 'v_x', 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 't_a' ) ) ), ~( =( 'v_k', 'c_Polynomial_Odegree'( 'v_cs____', 't_a' ) ) )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Omult__zero'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Ogroup__add'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Oring'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_Ring__and__Field_Odvd'( X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_Power_Opower'( X ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.34 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.96/1.34 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.34 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.96/1.34 ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.96/1.34 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.96/1.34 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.96/1.34 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_HOL_Ozero'( 'tc_Int_Oint' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.96/1.34 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.96/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.96/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.96/1.34 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.96/1.34 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.96/1.34 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.96/1.34 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.96/1.34 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.96/1.34 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.96/1.34 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.96/1.34 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.96/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.96/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.96/1.34 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.96/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.96/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.96/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.96/1.34 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.96/1.34 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.34 ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.34 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.34 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.34 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.34 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.34 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.96/1.34 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.96/1.34 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.96/1.34 [ 'class_Nat_Osemiring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.96/1.34 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.96/1.34 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Int_Oring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.96/1.34 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.96/1.34 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.96/1.34 [ 'class_Int_Onumber'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.96/1.34 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ hBOOL( 'c_fequal'( X, X, Y ) ) ],
% 0.96/1.34 [ =( X, Y ), ~( hBOOL( 'c_fequal'( X, Y, Z ) ) ) ]
% 0.96/1.34 ] .
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34 percentage equality = 0.251459, percentage horn = 0.865757
% 0.96/1.34 This is a problem with some equality
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34 Options Used:
% 0.96/1.34
% 0.96/1.34 useres = 1
% 0.96/1.34 useparamod = 1
% 0.96/1.34 useeqrefl = 1
% 0.96/1.34 useeqfact = 1
% 0.96/1.34 usefactor = 1
% 0.96/1.34 usesimpsplitting = 0
% 0.96/1.34 usesimpdemod = 5
% 0.96/1.34 usesimpres = 3
% 0.96/1.34
% 0.96/1.34 resimpinuse = 1000
% 0.96/1.34 resimpclauses = 20000
% 0.96/1.34 substype = eqrewr
% 0.96/1.34 backwardsubs = 1
% 0.96/1.34 selectoldest = 5
% 0.96/1.34
% 0.96/1.34 litorderings [0] = split
% 0.96/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.34
% 0.96/1.34 termordering = kbo
% 0.96/1.34
% 0.96/1.34 litapriori = 0
% 0.96/1.34 termapriori = 1
% 0.96/1.34 litaposteriori = 0
% 0.96/1.34 termaposteriori = 0
% 0.96/1.34 demodaposteriori = 0
% 0.96/1.34 ordereqreflfact = 0
% 0.96/1.34
% 0.96/1.34 litselect = negord
% 0.96/1.34
% 0.96/1.34 maxweight = 15
% 0.96/1.34 maxdepth = 30000
% 0.96/1.34 maxlength = 115
% 0.96/1.34 maxnrvars = 195
% 0.96/1.34 excuselevel = 1
% 0.96/1.34 increasemaxweight = 1
% 0.96/1.34
% 0.96/1.34 maxselected = 10000000
% 0.96/1.34 maxnrclauses = 10000000
% 0.96/1.34
% 0.96/1.34 showgenerated = 0
% 0.96/1.34 showkept = 0
% 0.96/1.34 showselected = 0
% 0.96/1.34 showdeleted = 0
% 0.96/1.34 showresimp = 1
% 0.96/1.34 showstatus = 2000
% 0.96/1.34
% 0.96/1.34 prologoutput = 1
% 0.96/1.34 nrgoals = 5000000
% 0.96/1.34 totalproof = 1
% 0.96/1.34
% 0.96/1.34 Symbols occurring in the translation:
% 0.96/1.34
% 0.96/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.34 . [1, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.96/1.34 ! [4, 1] (w:0, o:65, a:1, s:1, b:0),
% 0.96/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.34 'class_Divides_Osemiring__div' [40, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.96/1.34 'c_Divides_Odiv__class_Omod' [43, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes' [47, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.96/1.34 'class_Ring__and__Field_Ocomm__semiring__1' [48, 1] (w:1, o:75, a:1
% 0.96/1.34 , s:1, b:0),
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd' [50, 3] (w:1, o:184, a:1, s:1
% 0.96/1.34 , b:0),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus' [51, 3] (w:1, o:186, a:1, s:1, b:0),
% 0.96/1.34 'c_Divides_Odiv__class_Odiv' [52, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.96/1.34 'c_HOL_Oone__class_Oone' [53, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero' [54, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.96/1.34 'class_Ring__and__Field_Oordered__idom' [55, 1] (w:1, o:80, a:1, s:1
% 0.96/1.34 , b:0),
% 0.96/1.34 'c_lessequals' [58, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.96/1.34 'class_Orderings_Olinorder' [59, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.96/1.34 'c_HOL_Oord__class_Oless' [60, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.96/1.34 'class_Orderings_Opreorder' [61, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.96/1.34 'class_OrderedGroup_Opordered__ab__group__add' [62, 1] (w:1, o:85, a:
% 0.96/1.34 1, s:1, b:0),
% 0.96/1.34 'c_HOL_Ominus__class_Ominus' [63, 3] (w:1, o:189, a:1, s:1, b:0),
% 0.96/1.34 'class_Orderings_Oorder' [66, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.96/1.34 'class_Ring__and__Field_Oidom' [68, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.96/1.34 'class_Int_Onumber__ring' [69, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.96/1.34 'class_OrderedGroup_Ogroup__add' [70, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.96/1.34
% 0.96/1.34 'class_OrderedGroup_Oab__group__add' [71, 1] (w:1, o:90, a:1, s:1, b:
% 0.96/1.34 0),
% 0.96/1.34 'class_Ring__and__Field_Ozero__neq__one' [72, 1] (w:1, o:91, a:1, s:1
% 0.96/1.34 , b:0),
% 0.96/1.34 'class_Ring__and__Field_Oordered__semidom' [73, 1] (w:1, o:93, a:1
% 0.96/1.34 , s:1, b:0),
% 0.96/1.34 'c_Nat_Osemiring__1__class_Oof__nat' [75, 2] (w:1, o:168, a:1, s:1
% 0.96/1.34 , b:0),
% 0.96/1.34 'tc_nat' [77, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven' [78, 2] (w:1, o:169, a:1, s:1, b:0
% 0.96/1.34 ),
% 0.96/1.34 'class_Ring__and__Field_Ocomm__semiring__0' [79, 1] (w:1, o:74, a:1
% 1.46/1.85 , s:1, b:0),
% 1.46/1.85 'c_Polynomial_Osmult' [81, 3] (w:1, o:190, a:1, s:1, b:0),
% 1.46/1.85 'tc_Polynomial_Opoly' [83, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.46/1.85 'c_Int_Onumber__class_Onumber__of' [85, 2] (w:1, o:170, a:1, s:1, b:0
% 1.46/1.85 ),
% 1.46/1.85 'c_Power_Opower__class_Opower' [86, 3] (w:1, o:191, a:1, s:1, b:0),
% 1.46/1.85 'class_Int_Oring__char__0' [90, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Ofield' [91, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.46/1.85 'c_Polynomial_Opdivmod__rel' [93, 5] (w:1, o:198, a:1, s:1, b:0),
% 1.46/1.85 'class_HOL_Ozero' [95, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.46/1.85 'c_Polynomial_Omonom' [96, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.46/1.85 'c_Polynomial_Ocoeff' [97, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.46/1.85 hAPP [98, 2] (w:1, o:172, a:1, s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Oring' [99, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.46/1.85 'class_Int_Onumber' [100, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.46/1.85 'class_Nat_Osemiring__char__0' [102, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.46/1.85 'c_Polynomial_OpCons' [103, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.46/1.85 'c_Polynomial_Osynthetic__div' [104, 3] (w:1, o:195, a:1, s:1, b:0),
% 1.46/1.85
% 1.46/1.85 'c_Polynomial_Opoly' [105, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.46/1.85 'class_OrderedGroup_Omonoid__mult' [106, 1] (w:1, o:100, a:1, s:1, b:
% 1.46/1.85 0),
% 1.46/1.85 'class_OrderedGroup_Ocomm__monoid__mult' [107, 1] (w:1, o:101, a:1
% 1.46/1.85 , s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Odvd' [108, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.46/1.85 'class_RealVector_Oreal__normed__algebra' [109, 1] (w:1, o:104, a:1
% 1.46/1.85 , s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Ocomm__ring' [111, 1] (w:1, o:72, a:1, s:1
% 1.46/1.85 , b:0),
% 1.46/1.85 'class_Ring__and__Field_Opordered__ring' [114, 1] (w:1, o:108, a:1
% 1.46/1.85 , s:1, b:0),
% 1.46/1.85 'class_OrderedGroup_Opordered__ab__semigroup__add' [116, 1] (w:1, o:
% 1.46/1.85 109, a:1, s:1, b:0),
% 1.46/1.85 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [117, 1]
% 1.46/1.85 (w:1, o:110, a:1, s:1, b:0),
% 1.46/1.85 'c_Suc' [118, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Oordered__ring__strict' [119, 1] (w:1, o:92
% 1.46/1.85 , a:1, s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Osemiring__1' [120, 1] (w:1, o:115, a:1, s:1
% 1.46/1.85 , b:0),
% 1.46/1.85 'c_Nat_Osize__class_Osize' [121, 2] (w:1, o:174, a:1, s:1, b:0),
% 1.46/1.85 'c_nat_Onat__size' [122, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Ocomm__ring__1' [124, 1] (w:1, o:73, a:1, s:1
% 1.46/1.85 , b:0),
% 1.46/1.85 'class_Divides_Oring__div' [129, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.46/1.85 'c_Polynomial_Odegree' [130, 2] (w:1, o:175, a:1, s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Omult__mono1' [131, 1] (w:1, o:117, a:1, s:1
% 1.46/1.85 , b:0),
% 1.46/1.85 'class_Ring__and__Field_Omult__mono' [132, 1] (w:1, o:118, a:1, s:1
% 1.46/1.85 , b:0),
% 1.46/1.85 'class_Ring__and__Field_Opordered__cancel__semiring' [133, 1] (w:1
% 1.46/1.85 , o:119, a:1, s:1, b:0),
% 1.46/1.85 hBOOL [135, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.46/1.85 't_a' [137, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.46/1.85 'v_cs____' [138, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.46/1.85 'v_sko__local__XpCons__1__1' [140, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.46/1.85 'v_sko__local__XpCons__1__2' [141, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.46/1.85 'v_sko__local__XpCons__1__3' [142, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.46/1.85 'v_sko__local__XpCons__Xhyps__1' [143, 1] (w:1, o:124, a:1, s:1, b:0)
% 1.46/1.85 ,
% 1.46/1.85 'v_sko__local__XpCons__Xhyps__2' [144, 1] (w:1, o:125, a:1, s:1, b:0)
% 1.46/1.85 ,
% 1.46/1.85 'v_sko__local__XpCons__Xhyps__3' [145, 1] (w:1, o:126, a:1, s:1, b:0)
% 1.46/1.85 ,
% 1.46/1.85 'class_Ring__and__Field_Osemiring__0' [146, 1] (w:1, o:114, a:1, s:1
% 1.46/1.85 , b:0),
% 1.46/1.85 'class_Power_Opower' [147, 1] (w:1, o:137, a:1, s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Oordered__semiring__strict' [148, 1] (w:1, o:
% 1.46/1.85 105, a:1, s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Oordered__semiring' [149, 1] (w:1, o:106, a:1
% 1.46/1.85 , s:1, b:0),
% 1.46/1.85 'class_OrderedGroup_Ocomm__monoid__add' [150, 1] (w:1, o:127, a:1, s:
% 1.46/1.85 1, b:0),
% 1.46/1.85 'class_OrderedGroup_Opordered__comm__monoid__add' [151, 1] (w:1, o:
% 1.46/1.85 128, a:1, s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Ono__zero__divisors' [152, 1] (w:1, o:79, a:1
% 1.46/1.85 , s:1, b:0),
% 1.46/1.85 'class_Ring__and__Field_Omult__zero' [153, 1] (w:1, o:78, a:1, s:1
% 12.55/12.94 , b:0),
% 12.55/12.94 'class_Ring__and__Field_Opordered__semiring' [154, 1] (w:1, o:138, a:
% 12.55/12.94 1, s:1, b:0),
% 12.55/12.94 'class_OrderedGroup_Olordered__ab__group__add' [155, 1] (w:1, o:99
% 12.55/12.94 , a:1, s:1, b:0),
% 12.55/12.94 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [156, 1]
% 12.55/12.94 (w:1, o:129, a:1, s:1, b:0),
% 12.55/12.94 'class_Ring__and__Field_Osemiring' [157, 1] (w:1, o:139, a:1, s:1, b:
% 12.55/12.94 0),
% 12.55/12.94 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize' [158, 2] (w:1, o:
% 12.55/12.94 176, a:1, s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1' [160, 1] (w:1, o:140
% 12.55/12.94 , a:1, s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1' [161, 2] (w:
% 12.55/12.94 1, o:177, a:1, s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1' [162, 1] (w:1, o:
% 12.55/12.94 141, a:1, s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Nat__Xless__imp__Suc__add__1__1' [164, 2] (w:1
% 12.55/12.94 , o:178, a:1, s:1, b:0),
% 12.55/12.94 'c_ATP__Linkup_Osko__Nat__Xless__iff__Suc__add__1__1' [165, 2] (w:1
% 12.55/12.94 , o:179, a:1, s:1, b:0),
% 12.55/12.94 'c_Polynomial_Oorder' [166, 3] (w:1, o:193, a:1, s:1, b:0),
% 12.55/12.94 'class_Archimedean__Field_Oarchimedean__field' [167, 1] (w:1, o:142
% 12.55/12.94 , a:1, s:1, b:0),
% 12.55/12.94
% 12.55/12.94 'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'
% 12.55/12.94 [168, 2] (w:1, o:180, a:1, s:1, b:0),
% 12.55/12.94 'c_fequal' [169, 3] (w:1, o:196, a:1, s:1, b:0),
% 12.55/12.94 'c_HOL_OIf' [170, 4] (w:1, o:197, a:1, s:1, b:0),
% 12.55/12.94 'class_Ring__and__Field_Ocomm__semiring' [171, 1] (w:1, o:102, a:1
% 12.55/12.94 , s:1, b:0),
% 12.55/12.94 'class_OrderedGroup_Oab__semigroup__mult' [176, 1] (w:1, o:130, a:1
% 12.55/12.94 , s:1, b:0),
% 12.55/12.94 'class_OrderedGroup_Oab__semigroup__idem__mult' [177, 1] (w:1, o:131
% 12.55/12.94 , a:1, s:1, b:0),
% 12.55/12.94 'class_Ring__and__Field_Oring__1__no__zero__divisors' [178, 1] (w:1
% 12.55/12.94 , o:112, a:1, s:1, b:0),
% 12.55/12.94 'class_OrderedGroup_Ocancel__ab__semigroup__add' [179, 1] (w:1, o:132
% 12.55/12.94 , a:1, s:1, b:0),
% 12.55/12.94 'class_OrderedGroup_Ocancel__semigroup__add' [180, 1] (w:1, o:133, a:
% 12.55/12.94 1, s:1, b:0),
% 12.55/12.94 'class_Ring__and__Field_Oring__no__zero__divisors' [182, 1] (w:1, o:
% 12.55/12.94 113, a:1, s:1, b:0),
% 12.55/12.94 'class_OrderedGroup_Oab__semigroup__add' [183, 1] (w:1, o:134, a:1
% 12.55/12.94 , s:1, b:0),
% 12.55/12.94 'class_Ring__and__Field_Oordered__comm__semiring__strict' [184, 1]
% 12.55/12.94 (w:1, o:107, a:1, s:1, b:0),
% 12.55/12.94 'class_OrderedGroup_Omonoid__add' [185, 1] (w:1, o:135, a:1, s:1, b:0
% 12.55/12.94 ),
% 12.55/12.94 'v_z' [186, 0] (w:1, o:54, a:1, s:1, b:0),
% 12.55/12.94 'v_a' [187, 0] (w:1, o:55, a:1, s:1, b:0),
% 12.55/12.94 'v_q' [188, 0] (w:1, o:56, a:1, s:1, b:0),
% 12.55/12.94 'v_k' [189, 0] (w:1, o:57, a:1, s:1, b:0),
% 12.55/12.94 'v_x' [190, 0] (w:1, o:58, a:1, s:1, b:0),
% 12.55/12.94 'class_OrderedGroup_Ocancel__comm__monoid__add' [192, 1] (w:1, o:136
% 12.55/12.94 , a:1, s:1, b:0),
% 12.55/12.94 'tc_Int_Oint' [194, 0] (w:1, o:61, a:1, s:1, b:0),
% 12.55/12.94 'tc_fun' [196, 2] (w:1, o:181, a:1, s:1, b:0).
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Starting Search:
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 3610
% 12.55/12.94 Kept: 2038
% 12.55/12.94 Inuse: 111
% 12.55/12.94 Deleted: 0
% 12.55/12.94 Deletedinuse: 0
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 6935
% 12.55/12.94 Kept: 4041
% 12.55/12.94 Inuse: 225
% 12.55/12.94 Deleted: 3
% 12.55/12.94 Deletedinuse: 2
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 11213
% 12.55/12.94 Kept: 6053
% 12.55/12.94 Inuse: 274
% 12.55/12.94 Deleted: 3
% 12.55/12.94 Deletedinuse: 2
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 15453
% 12.55/12.94 Kept: 8063
% 12.55/12.94 Inuse: 331
% 12.55/12.94 Deleted: 6
% 12.55/12.94 Deletedinuse: 2
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 19648
% 12.55/12.94 Kept: 10077
% 12.55/12.94 Inuse: 395
% 12.55/12.94 Deleted: 7
% 12.55/12.94 Deletedinuse: 2
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 23557
% 12.55/12.94 Kept: 12093
% 12.55/12.94 Inuse: 468
% 12.55/12.94 Deleted: 9
% 12.55/12.94 Deletedinuse: 2
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 27666
% 12.55/12.94 Kept: 14108
% 12.55/12.94 Inuse: 515
% 12.55/12.94 Deleted: 9
% 12.55/12.94 Deletedinuse: 2
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94 Resimplifying inuse:
% 12.55/12.94 Done
% 12.55/12.94
% 12.55/12.94
% 12.55/12.94 Intermediate Status:
% 12.55/12.94 Generated: 31076
% 41.69/42.07 Kept: 16119
% 41.69/42.07 Inuse: 575
% 41.69/42.07 Deleted: 9
% 41.69/42.07 Deletedinuse: 2
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 36413
% 41.69/42.07 Kept: 18119
% 41.69/42.07 Inuse: 622
% 41.69/42.07 Deleted: 14
% 41.69/42.07 Deletedinuse: 2
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 53445
% 41.69/42.07 Kept: 20448
% 41.69/42.07 Inuse: 639
% 41.69/42.07 Deleted: 14
% 41.69/42.07 Deletedinuse: 2
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying clauses:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 63462
% 41.69/42.07 Kept: 22483
% 41.69/42.07 Inuse: 649
% 41.69/42.07 Deleted: 130
% 41.69/42.07 Deletedinuse: 2
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 74451
% 41.69/42.07 Kept: 25215
% 41.69/42.07 Inuse: 694
% 41.69/42.07 Deleted: 130
% 41.69/42.07 Deletedinuse: 2
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 81843
% 41.69/42.07 Kept: 27274
% 41.69/42.07 Inuse: 724
% 41.69/42.07 Deleted: 131
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 93118
% 41.69/42.07 Kept: 29466
% 41.69/42.07 Inuse: 754
% 41.69/42.07 Deleted: 131
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 104601
% 41.69/42.07 Kept: 31576
% 41.69/42.07 Inuse: 784
% 41.69/42.07 Deleted: 131
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 117057
% 41.69/42.07 Kept: 34731
% 41.69/42.07 Inuse: 804
% 41.69/42.07 Deleted: 131
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 125860
% 41.69/42.07 Kept: 36732
% 41.69/42.07 Inuse: 853
% 41.69/42.07 Deleted: 131
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 135362
% 41.69/42.07 Kept: 39435
% 41.69/42.07 Inuse: 884
% 41.69/42.07 Deleted: 131
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying clauses:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 144004
% 41.69/42.07 Kept: 41614
% 41.69/42.07 Inuse: 919
% 41.69/42.07 Deleted: 241
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 154729
% 41.69/42.07 Kept: 43625
% 41.69/42.07 Inuse: 970
% 41.69/42.07 Deleted: 241
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 166992
% 41.69/42.07 Kept: 45893
% 41.69/42.07 Inuse: 1004
% 41.69/42.07 Deleted: 241
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 180645
% 41.69/42.07 Kept: 48587
% 41.69/42.07 Inuse: 1049
% 41.69/42.07 Deleted: 241
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 189935
% 41.69/42.07 Kept: 50625
% 41.69/42.07 Inuse: 1064
% 41.69/42.07 Deleted: 241
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 199446
% 41.69/42.07 Kept: 52686
% 41.69/42.07 Inuse: 1104
% 41.69/42.07 Deleted: 241
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 209516
% 41.69/42.07 Kept: 54774
% 41.69/42.07 Inuse: 1144
% 41.69/42.07 Deleted: 241
% 41.69/42.07 Deletedinuse: 3
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 238736
% 41.69/42.07 Kept: 58085
% 41.69/42.07 Inuse: 1174
% 41.69/42.07 Deleted: 244
% 41.69/42.07 Deletedinuse: 6
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 249753
% 41.69/42.07 Kept: 60328
% 41.69/42.07 Inuse: 1193
% 41.69/42.07 Deleted: 286
% 41.69/42.07 Deletedinuse: 7
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying clauses:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 261405
% 41.69/42.07 Kept: 62422
% 41.69/42.07 Inuse: 1215
% 41.69/42.07 Deleted: 695
% 41.69/42.07 Deletedinuse: 7
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 271785
% 41.69/42.07 Kept: 65067
% 41.69/42.07 Inuse: 1235
% 41.69/42.07 Deleted: 696
% 41.69/42.07 Deletedinuse: 8
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 284142
% 41.69/42.07 Kept: 70213
% 41.69/42.07 Inuse: 1245
% 41.69/42.07 Deleted: 696
% 41.69/42.07 Deletedinuse: 8
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 293391
% 41.69/42.07 Kept: 72224
% 41.69/42.07 Inuse: 1265
% 41.69/42.07 Deleted: 696
% 41.69/42.07 Deletedinuse: 8
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07 Resimplifying inuse:
% 41.69/42.07 Done
% 41.69/42.07
% 41.69/42.07
% 41.69/42.07 Intermediate Status:
% 41.69/42.07 Generated: 301696
% 41.69/42.07 Kept: 74312
% 41.69/42.07 Inuse: 1295
% 41.69/42.07 Deleted: 696
% 94.46/94.88 Deletedinuse: 8
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 309756
% 94.46/94.88 Kept: 76322
% 94.46/94.88 Inuse: 1321
% 94.46/94.88 Deleted: 696
% 94.46/94.88 Deletedinuse: 8
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 319243
% 94.46/94.88 Kept: 78422
% 94.46/94.88 Inuse: 1345
% 94.46/94.88 Deleted: 696
% 94.46/94.88 Deletedinuse: 8
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 333050
% 94.46/94.88 Kept: 81068
% 94.46/94.88 Inuse: 1370
% 94.46/94.88 Deleted: 696
% 94.46/94.88 Deletedinuse: 8
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying clauses:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 347826
% 94.46/94.88 Kept: 84020
% 94.46/94.88 Inuse: 1385
% 94.46/94.88 Deleted: 928
% 94.46/94.88 Deletedinuse: 8
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 357172
% 94.46/94.88 Kept: 86025
% 94.46/94.88 Inuse: 1397
% 94.46/94.88 Deleted: 928
% 94.46/94.88 Deletedinuse: 8
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 364728
% 94.46/94.88 Kept: 88025
% 94.46/94.88 Inuse: 1414
% 94.46/94.88 Deleted: 928
% 94.46/94.88 Deletedinuse: 8
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 373715
% 94.46/94.88 Kept: 90033
% 94.46/94.88 Inuse: 1425
% 94.46/94.88 Deleted: 928
% 94.46/94.88 Deletedinuse: 8
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 383196
% 94.46/94.88 Kept: 92084
% 94.46/94.88 Inuse: 1450
% 94.46/94.88 Deleted: 928
% 94.46/94.88 Deletedinuse: 8
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 400376
% 94.46/94.88 Kept: 94089
% 94.46/94.88 Inuse: 1471
% 94.46/94.88 Deleted: 929
% 94.46/94.88 Deletedinuse: 9
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 415847
% 94.46/94.88 Kept: 96448
% 94.46/94.88 Inuse: 1485
% 94.46/94.88 Deleted: 929
% 94.46/94.88 Deletedinuse: 9
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 427208
% 94.46/94.88 Kept: 98476
% 94.46/94.88 Inuse: 1505
% 94.46/94.88 Deleted: 929
% 94.46/94.88 Deletedinuse: 9
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 445971
% 94.46/94.88 Kept: 101155
% 94.46/94.88 Inuse: 1540
% 94.46/94.88 Deleted: 930
% 94.46/94.88 Deletedinuse: 10
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying clauses:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 460046
% 94.46/94.88 Kept: 103338
% 94.46/94.88 Inuse: 1560
% 94.46/94.88 Deleted: 1191
% 94.46/94.88 Deletedinuse: 10
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 473464
% 94.46/94.88 Kept: 105420
% 94.46/94.88 Inuse: 1600
% 94.46/94.88 Deleted: 1191
% 94.46/94.88 Deletedinuse: 10
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 487840
% 94.46/94.88 Kept: 107734
% 94.46/94.88 Inuse: 1620
% 94.46/94.88 Deleted: 1191
% 94.46/94.88 Deletedinuse: 10
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 498194
% 94.46/94.88 Kept: 109901
% 94.46/94.88 Inuse: 1645
% 94.46/94.88 Deleted: 1191
% 94.46/94.88 Deletedinuse: 10
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 509368
% 94.46/94.88 Kept: 111985
% 94.46/94.88 Inuse: 1660
% 94.46/94.88 Deleted: 1191
% 94.46/94.88 Deletedinuse: 10
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 528460
% 94.46/94.88 Kept: 114038
% 94.46/94.88 Inuse: 1680
% 94.46/94.88 Deleted: 1191
% 94.46/94.88 Deletedinuse: 10
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 538367
% 94.46/94.88 Kept: 117414
% 94.46/94.88 Inuse: 1690
% 94.46/94.88 Deleted: 1191
% 94.46/94.88 Deletedinuse: 10
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 554160
% 94.46/94.88 Kept: 119644
% 94.46/94.88 Inuse: 1728
% 94.46/94.88 Deleted: 1198
% 94.46/94.88 Deletedinuse: 15
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying clauses:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 569594
% 94.46/94.88 Kept: 121720
% 94.46/94.88 Inuse: 1763
% 94.46/94.88 Deleted: 2525
% 94.46/94.88 Deletedinuse: 15
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 585142
% 94.46/94.88 Kept: 124744
% 94.46/94.88 Inuse: 1793
% 94.46/94.88 Deleted: 2532
% 94.46/94.88 Deletedinuse: 22
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 605778
% 94.46/94.88 Kept: 127221
% 94.46/94.88 Inuse: 1798
% 94.46/94.88 Deleted: 2532
% 94.46/94.88 Deletedinuse: 22
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88 Resimplifying inuse:
% 94.46/94.88 Done
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 614549
% 94.46/94.88 Kept: 129279
% 94.46/94.88 Inuse: 1808
% 94.46/94.88 Deleted: 2532
% 94.46/94.88 Deletedinuse: 22
% 94.46/94.88
% 94.46/94.88
% 94.46/94.88 Intermediate Status:
% 94.46/94.88 Generated: 645611
% 94.46/94.88 Kept: 131732
% 234.21/234.72 Inuse: 1818
% 234.21/234.72 Deleted: 2532
% 234.21/234.72 Deletedinuse: 22
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 667392
% 234.21/234.72 Kept: 134431
% 234.21/234.72 Inuse: 1846
% 234.21/234.72 Deleted: 2535
% 234.21/234.72 Deletedinuse: 23
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 677849
% 234.21/234.72 Kept: 136614
% 234.21/234.72 Inuse: 1856
% 234.21/234.72 Deleted: 2535
% 234.21/234.72 Deletedinuse: 23
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 685691
% 234.21/234.72 Kept: 139190
% 234.21/234.72 Inuse: 1861
% 234.21/234.72 Deleted: 2535
% 234.21/234.72 Deletedinuse: 23
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 700562
% 234.21/234.72 Kept: 141427
% 234.21/234.72 Inuse: 1896
% 234.21/234.72 Deleted: 2535
% 234.21/234.72 Deletedinuse: 23
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying clauses:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 712962
% 234.21/234.72 Kept: 143461
% 234.21/234.72 Inuse: 1908
% 234.21/234.72 Deleted: 3636
% 234.21/234.72 Deletedinuse: 25
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 724488
% 234.21/234.72 Kept: 145660
% 234.21/234.72 Inuse: 1921
% 234.21/234.72 Deleted: 3636
% 234.21/234.72 Deletedinuse: 25
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 742475
% 234.21/234.72 Kept: 147984
% 234.21/234.72 Inuse: 1951
% 234.21/234.72 Deleted: 3637
% 234.21/234.72 Deletedinuse: 26
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 758438
% 234.21/234.72 Kept: 150078
% 234.21/234.72 Inuse: 1976
% 234.21/234.72 Deleted: 3637
% 234.21/234.72 Deletedinuse: 26
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 792215
% 234.21/234.72 Kept: 152940
% 234.21/234.72 Inuse: 1986
% 234.21/234.72 Deleted: 3637
% 234.21/234.72 Deletedinuse: 26
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 806535
% 234.21/234.72 Kept: 155143
% 234.21/234.72 Inuse: 1996
% 234.21/234.72 Deleted: 3637
% 234.21/234.72 Deletedinuse: 26
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 836504
% 234.21/234.72 Kept: 158063
% 234.21/234.72 Inuse: 2001
% 234.21/234.72 Deleted: 3638
% 234.21/234.72 Deletedinuse: 27
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 848096
% 234.21/234.72 Kept: 160161
% 234.21/234.72 Inuse: 2021
% 234.21/234.72 Deleted: 3638
% 234.21/234.72 Deletedinuse: 27
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying clauses:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 861025
% 234.21/234.72 Kept: 162260
% 234.21/234.72 Inuse: 2031
% 234.21/234.72 Deleted: 4271
% 234.21/234.72 Deletedinuse: 27
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 877928
% 234.21/234.72 Kept: 165142
% 234.21/234.72 Inuse: 2046
% 234.21/234.72 Deleted: 4273
% 234.21/234.72 Deletedinuse: 29
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 891284
% 234.21/234.72 Kept: 167161
% 234.21/234.72 Inuse: 2075
% 234.21/234.72 Deleted: 4273
% 234.21/234.72 Deletedinuse: 29
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 906451
% 234.21/234.72 Kept: 169168
% 234.21/234.72 Inuse: 2107
% 234.21/234.72 Deleted: 4273
% 234.21/234.72 Deletedinuse: 29
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 922465
% 234.21/234.72 Kept: 171854
% 234.21/234.72 Inuse: 2126
% 234.21/234.72 Deleted: 4273
% 234.21/234.72 Deletedinuse: 29
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 969835
% 234.21/234.72 Kept: 176406
% 234.21/234.72 Inuse: 2136
% 234.21/234.72 Deleted: 4273
% 234.21/234.72 Deletedinuse: 29
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 989688
% 234.21/234.72 Kept: 179177
% 234.21/234.72 Inuse: 2156
% 234.21/234.72 Deleted: 4273
% 234.21/234.72 Deletedinuse: 29
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 1013536
% 234.21/234.72 Kept: 183708
% 234.21/234.72 Inuse: 2166
% 234.21/234.72 Deleted: 4273
% 234.21/234.72 Deletedinuse: 29
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying clauses:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 1031197
% 234.21/234.72 Kept: 185910
% 234.21/234.72 Inuse: 2181
% 234.21/234.72 Deleted: 4602
% 234.21/234.72 Deletedinuse: 29
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 1049185
% 234.21/234.72 Kept: 188073
% 234.21/234.72 Inuse: 2186
% 234.21/234.72 Deleted: 4602
% 234.21/234.72 Deletedinuse: 29
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 1067708
% 234.21/234.72 Kept: 190093
% 234.21/234.72 Inuse: 2191
% 234.21/234.72 Deleted: 4612
% 234.21/234.72 Deletedinuse: 39
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 1089311
% 234.21/234.72 Kept: 193853
% 234.21/234.72 Inuse: 2196
% 234.21/234.72 Deleted: 4612
% 234.21/234.72 Deletedinuse: 39
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72 Resimplifying inuse:
% 234.21/234.72 Done
% 234.21/234.72
% 234.21/234.72
% 234.21/234.72 Intermediate Status:
% 234.21/234.72 Generated: 1109958
% 234.21/234.72 Kept: 195869
% 234.21/234.72 Inuse: 2226
% 234.21/234.72 DeleteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------