%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG438-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 12:10:57 EDT 2022
% Result : Unsatisfiable 15.49s 15.92s
% Output : Refutation 15.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG438-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 8 02:18:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.78/1.16 *** allocated 10000 integers for termspace/termends
% 0.78/1.16 *** allocated 10000 integers for clauses
% 0.78/1.16 *** allocated 10000 integers for justifications
% 0.78/1.16 Bliksem 1.12
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Automatic Strategy Selection
% 0.78/1.16
% 0.78/1.16 Clauses:
% 0.78/1.16 [
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.78/1.16 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.78/1.16 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.78/1.16 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.78/1.16 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.16 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.78/1.16 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.16 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.78/1.16 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.16 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.78/1.16 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.16 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.78/1.16 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.78/1.16 X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.78/1.16 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.78/1.16 X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Z, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Z, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.78/1.16 X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.78/1.16 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.78/1.16 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.78/1.16 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.78/1.16 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ),
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.78/1.16 't_a' ),
% 0.78/1.16 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), 't_a' ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), ~( =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ),
% 0.78/1.16 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1'(
% 0.78/1.16 X ), 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.16 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.78/1.16 X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.78/1.16 't_a' ), X, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), ~( =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ), Y
% 0.78/1.16 , 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.78/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.78/1.16 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 0.78/1.16 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 0.78/1.16 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 0.78/1.16 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.16 , T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.16 , T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.78/1.16 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.78/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.78/1.16 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.78/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.78/1.16 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.78/1.16 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.78/1.16 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.78/1.16 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.78/1.16 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.16 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.78/1.16 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.78/1.16 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.16 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.78/1.16 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.16 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.78/1.16 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.78/1.16 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.78/1.16 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 X ), T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.78/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.78/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.78/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.78/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.78/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.78/1.16 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.78/1.16 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.78/1.16 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.16 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.16 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.78/1.16 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.78/1.16 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.16 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.78/1.16 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 X ), T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.78/1.16 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Z, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.16 , T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Z, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.16 , T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.16 , Z, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.16 , T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.78/1.16 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.78/1.16 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.78/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.78/1.16 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.16 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.16 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.78/1.16 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.78/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.16 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.78/1.16 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.78/1.16 ), X ), Y ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'(
% 0.78/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 0.78/1.16 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.78/1.16 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 0.78/1.16 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.78/1.16 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.16 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.78/1.16 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.78/1.16 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.16 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.16 ), =( Z, Y ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.78/1.16 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.16 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.16 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.16 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.78/1.16 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.16 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.16 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.78/1.16 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.78/1.16 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.78/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.78/1.16 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.78/1.16 'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.78/1.16 X ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.78/1.16 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.78/1.16 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.16 'c_lessequals'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.78/1.16 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.78/1.16 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.16 'c_lessequals'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.16 , Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.16 , Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.16 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.16 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.78/1.16 , X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.78/1.16 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.16 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.78/1.16 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.16 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.16 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.78/1.16 'c_lessequals'( Z, Y, X ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.16 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.16 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.78/1.16 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.78/1.16 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.78/1.16 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.78/1.16 ), X ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.16 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.78/1.16 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 0.78/1.16 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 0.78/1.16 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.78/1.16 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.78/1.16 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.16 'c_Polynomial_Osmult'( T,
% 0.78/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.78/1.16 ), 'c_Polynomial_OpCons'( Y,
% 0.78/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.78/1.16 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.16 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.16 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.16 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.16 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.16 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.16 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.78/1.16 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.78/1.16 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.78/1.16 X ) ) ), =( Y, T ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.78/1.16 X ) ) ), =( Z, T ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.78/1.16 X ) ) ), =( Z, T ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.16 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.78/1.16 X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.78/1.16 X ), T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.78/1.16 T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.78/1.16 X ), T, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.78/1.16 T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.78/1.16 X ), Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.78/1.16 T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.78/1.16 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.16 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.16 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.16 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.78/1.16 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.78/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.78/1.16 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.16 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.78/1.16 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.16 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.78/1.16 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.16 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.16 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.16 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.78/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.16 , Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.16 , Y, X ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.78/1.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.16 ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.78/1.16 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.78/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.78/1.16 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.78/1.16 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.78/1.16 ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.78/1.16 ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.78/1.16 ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.78/1.16 ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.16 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.78/1.16 ), X ) ) ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.78/1.16 ],
% 0.78/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.78/1.16 ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.78/1.16 ],
% 0.78/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.78/1.16 ],
% 0.78/1.16 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_a',
% 0.78/1.16 'c_Polynomial_OpCons'( 'v_b', 'v_p', 'tc_Complex_Ocomplex' ),
% 0.78/1.16 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 0.78/1.16 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.16 'c_Polynomial_Osmult'( 'v_a', 'v_q', 'tc_Complex_Ocomplex' ),
% 0.78/1.16 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.78/1.16 ), 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 0.78/1.16 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 0.78/1.16 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 0.78/1.16 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.78/1.16 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.78/1.16 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.78/1.16 ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.78/1.16 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.78/1.16 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.78/1.16 ],
% 0.78/1.16 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.78/1.16 ],
% 0.78/1.16 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.78/1.16 ],
% 0.78/1.16 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.78/1.16 X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.78/1.16 ,
% 0.78/1.16 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.78/1.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.78/1.16 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.78/1.16 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.78/1.16 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.78/1.16 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.78/1.16 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.78/1.16 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.78/1.16 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.78/1.16 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.78/1.16 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.78/1.16 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.78/1.16 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.78/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.78/1.16 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.78/1.16 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.78/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.78/1.16 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.78/1.16 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.78/1.16 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.78/1.16 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.78/1.16 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.78/1.16 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.78/1.16 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.78/1.16 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.78/1.16 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.78/1.16 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.78/1.16 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.78/1.16 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.78/1.16 X ) ) ]
% 0.78/1.16 ] .
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 percentage equality = 0.176241, percentage horn = 0.886040
% 0.78/1.16 This is a problem with some equality
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Options Used:
% 0.78/1.16
% 0.78/1.16 useres = 1
% 0.78/1.16 useparamod = 1
% 0.78/1.16 useeqrefl = 1
% 0.78/1.16 useeqfact = 1
% 0.78/1.16 usefactor = 1
% 0.78/1.16 usesimpsplitting = 0
% 0.78/1.16 usesimpdemod = 5
% 0.78/1.16 usesimpres = 3
% 0.78/1.16
% 0.78/1.16 resimpinuse = 1000
% 0.78/1.16 resimpclauses = 20000
% 0.78/1.16 substype = eqrewr
% 0.78/1.16 backwardsubs = 1
% 0.78/1.16 selectoldest = 5
% 0.78/1.16
% 0.78/1.16 litorderings [0] = split
% 0.78/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.16
% 0.78/1.16 termordering = kbo
% 0.78/1.16
% 0.78/1.16 litapriori = 0
% 0.78/1.16 termapriori = 1
% 0.78/1.16 litaposteriori = 0
% 0.78/1.16 termaposteriori = 0
% 0.78/1.16 demodaposteriori = 0
% 0.78/1.16 ordereqreflfact = 0
% 0.78/1.16
% 0.78/1.16 litselect = negord
% 2.89/3.35
% 2.89/3.35 maxweight = 15
% 2.89/3.35 maxdepth = 30000
% 2.89/3.35 maxlength = 115
% 2.89/3.35 maxnrvars = 195
% 2.89/3.35 excuselevel = 1
% 2.89/3.35 increasemaxweight = 1
% 2.89/3.35
% 2.89/3.35 maxselected = 10000000
% 2.89/3.35 maxnrclauses = 10000000
% 2.89/3.35
% 2.89/3.35 showgenerated = 0
% 2.89/3.35 showkept = 0
% 2.89/3.35 showselected = 0
% 2.89/3.35 showdeleted = 0
% 2.89/3.35 showresimp = 1
% 2.89/3.35 showstatus = 2000
% 2.89/3.35
% 2.89/3.35 prologoutput = 1
% 2.89/3.35 nrgoals = 5000000
% 2.89/3.35 totalproof = 1
% 2.89/3.35
% 2.89/3.35 Symbols occurring in the translation:
% 2.89/3.35
% 2.89/3.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.89/3.35 . [1, 2] (w:1, o:94, a:1, s:1, b:0),
% 2.89/3.35 ! [4, 1] (w:0, o:40, a:1, s:1, b:0),
% 2.89/3.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.89/3.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Oordered__idom' [40, 1] (w:1, o:46, a:1, s:1
% 2.89/3.35 , b:0),
% 2.89/3.35 'tc_Polynomial_Opoly' [42, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.89/3.35 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:48, a:1, s:1, b:0),
% 2.89/3.35 'c_Polynomial_Opos__poly' [44, 2] (w:1, o:119, a:1, s:1, b:0),
% 2.89/3.35 'c_Polynomial_OpCons' [46, 3] (w:1, o:121, a:1, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Ocomm__semiring__0' [47, 1] (w:1, o:50, a:1
% 2.89/3.35 , s:1, b:0),
% 2.89/3.35 'c_Polynomial_Opcompose' [49, 3] (w:1, o:122, a:1, s:1, b:0),
% 2.89/3.35 'c_Polynomial_Opoly' [51, 3] (w:1, o:123, a:1, s:1, b:0),
% 2.89/3.35 'c_HOL_Oplus__class_Oplus' [52, 3] (w:1, o:125, a:1, s:1, b:0),
% 2.89/3.35 'c_HOL_Otimes__class_Otimes' [53, 3] (w:1, o:126, a:1, s:1, b:0),
% 2.89/3.35 'c_HOL_Oord__class_Oless' [54, 3] (w:1, o:124, a:1, s:1, b:0),
% 2.89/3.35 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [55, 1]
% 2.89/3.35 (w:1, o:51, a:1, s:1, b:0),
% 2.89/3.35 'c_lessequals' [57, 3] (w:1, o:127, a:1, s:1, b:0),
% 2.89/3.35 'class_OrderedGroup_Opordered__ab__semigroup__add' [59, 1] (w:1, o:52
% 2.89/3.35 , a:1, s:1, b:0),
% 2.89/3.35 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [61, 1]
% 2.89/3.35 (w:1, o:53, a:1, s:1, b:0),
% 2.89/3.35 'class_OrderedGroup_Opordered__ab__group__add' [62, 1] (w:1, o:54, a:
% 2.89/3.35 1, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Oordered__ring__strict' [63, 1] (w:1, o:55
% 2.89/3.35 , a:1, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Ofield' [64, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Odivision__by__zero' [65, 1] (w:1, o:59, a:1
% 2.89/3.35 , s:1, b:0),
% 2.89/3.35 'c_HOL_Oinverse__class_Oinverse' [66, 2] (w:1, o:120, a:1, s:1, b:0)
% 2.89/3.35 ,
% 2.89/3.35 'class_OrderedGroup_Ocomm__monoid__add' [67, 1] (w:1, o:60, a:1, s:1
% 2.89/3.35 , b:0),
% 2.89/3.35 'class_OrderedGroup_Opordered__comm__monoid__add' [68, 1] (w:1, o:61
% 2.89/3.35 , a:1, s:1, b:0),
% 2.89/3.35 't_a' [69, 0] (w:1, o:20, a:1, s:1, b:0),
% 2.89/3.35 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1'
% 2.89/3.35 [70, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.89/3.35 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1'
% 2.89/3.35 [71, 1] (w:1, o:63, a:1, s:1, b:0),
% 2.89/3.35 'class_HOL_Ozero' [72, 1] (w:1, o:64, a:1, s:1, b:0),
% 2.89/3.35 'c_Polynomial_Osmult' [73, 3] (w:1, o:128, a:1, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Oidom' [74, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.89/3.35 'c_Polynomial_Osynthetic__div' [75, 3] (w:1, o:129, a:1, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Odivision__ring' [76, 1] (w:1, o:66, a:1, s:1
% 2.89/3.35 , b:0),
% 2.89/3.35 'class_Ring__and__Field_Opordered__cancel__semiring' [77, 1] (w:1, o:
% 2.89/3.35 72, a:1, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Opordered__semiring' [78, 1] (w:1, o:74, a:1
% 2.89/3.35 , s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Opordered__ring' [79, 1] (w:1, o:73, a:1, s:1
% 2.89/3.35 , b:0),
% 2.89/3.35 'class_Ring__and__Field_Omult__mono' [80, 1] (w:1, o:75, a:1, s:1, b:
% 2.89/3.35 0),
% 2.89/3.35 'class_Ring__and__Field_Omult__mono1' [81, 1] (w:1, o:76, a:1, s:1
% 2.89/3.35 , b:0),
% 2.89/3.35 'class_Ring__and__Field_Oordered__semiring__strict' [82, 1] (w:1, o:
% 2.89/3.35 67, a:1, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Oordered__comm__semiring__strict' [83, 1] (w:
% 2.89/3.35 1, o:68, a:1, s:1, b:0),
% 2.89/3.35 'class_OrderedGroup_Olordered__ab__group__add' [84, 1] (w:1, o:77, a:
% 2.89/3.35 1, s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Oordered__semidom' [85, 1] (w:1, o:69, a:1
% 2.89/3.35 , s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Oordered__semiring' [87, 1] (w:1, o:70, a:1
% 2.89/3.35 , s:1, b:0),
% 2.89/3.35 'class_Ring__and__Field_Oordered__field' [88, 1] (w:1, o:71, a:1, s:1
% 15.49/15.92 , b:0),
% 15.49/15.92 'class_Orderings_Olinorder' [89, 1] (w:1, o:78, a:1, s:1, b:0),
% 15.49/15.92 'class_Orderings_Opreorder' [90, 1] (w:1, o:80, a:1, s:1, b:0),
% 15.49/15.92 'class_Orderings_Oorder' [92, 1] (w:1, o:79, a:1, s:1, b:0),
% 15.49/15.92 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [94, 3]
% 15.49/15.92 (w:1, o:130, a:1, s:1, b:0),
% 15.49/15.92 'class_Ring__and__Field_Oring__no__zero__divisors' [96, 1] (w:1, o:81
% 15.49/15.92 , a:1, s:1, b:0),
% 15.49/15.92 'class_Ring__and__Field_Omult__zero' [97, 1] (w:1, o:82, a:1, s:1, b:
% 15.49/15.92 0),
% 15.49/15.92 'class_Ring__and__Field_Ocomm__semiring__1' [98, 1] (w:1, o:57, a:1
% 15.49/15.92 , s:1, b:0),
% 15.49/15.92 'class_RealVector_Oreal__normed__algebra' [99, 1] (w:1, o:83, a:1, s:
% 15.49/15.92 1, b:0),
% 15.49/15.92 'class_Int_Onumber__ring' [100, 1] (w:1, o:84, a:1, s:1, b:0),
% 15.49/15.92 'class_OrderedGroup_Oab__group__add' [102, 1] (w:1, o:85, a:1, s:1
% 15.49/15.92 , b:0),
% 15.49/15.92 'class_OrderedGroup_Ocancel__semigroup__add' [104, 1] (w:1, o:86, a:1
% 15.49/15.92 , s:1, b:0),
% 15.49/15.92 'class_OrderedGroup_Ocancel__ab__semigroup__add' [105, 1] (w:1, o:87
% 15.49/15.92 , a:1, s:1, b:0),
% 15.49/15.92 'class_Ring__and__Field_Ocomm__semiring' [107, 1] (w:1, o:58, a:1, s:
% 15.49/15.92 1, b:0),
% 15.49/15.92 'class_OrderedGroup_Oab__semigroup__mult' [116, 1] (w:1, o:88, a:1
% 15.49/15.92 , s:1, b:0),
% 15.49/15.92 'class_OrderedGroup_Oab__semigroup__idem__mult' [117, 1] (w:1, o:89
% 15.49/15.92 , a:1, s:1, b:0),
% 15.49/15.92 'class_Ring__and__Field_Ono__zero__divisors' [118, 1] (w:1, o:45, a:1
% 15.49/15.92 , s:1, b:0),
% 15.49/15.92 'class_OrderedGroup_Oab__semigroup__add' [119, 1] (w:1, o:90, a:1, s:
% 15.49/15.92 1, b:0),
% 15.49/15.92 'class_Ring__and__Field_Osemiring' [120, 1] (w:1, o:91, a:1, s:1, b:0
% 15.49/15.92 ),
% 15.49/15.92 'class_OrderedGroup_Omonoid__add' [122, 1] (w:1, o:92, a:1, s:1, b:0)
% 15.49/15.92 ,
% 15.49/15.92 'v_a' [123, 0] (w:1, o:34, a:1, s:1, b:0),
% 15.49/15.92 'v_b' [124, 0] (w:1, o:35, a:1, s:1, b:0),
% 15.49/15.92 'v_p' [125, 0] (w:1, o:36, a:1, s:1, b:0),
% 15.49/15.92 'tc_Complex_Ocomplex' [126, 0] (w:1, o:37, a:1, s:1, b:0),
% 15.49/15.92 'v_q' [127, 0] (w:1, o:38, a:1, s:1, b:0),
% 15.49/15.92 'class_OrderedGroup_Ocancel__comm__monoid__add' [129, 1] (w:1, o:93
% 15.49/15.92 , a:1, s:1, b:0),
% 15.49/15.92 'class_Ring__and__Field_Ocomm__ring__1' [130, 1] (w:1, o:49, a:1, s:1
% 15.49/15.92 , b:0).
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Starting Search:
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 7089
% 15.49/15.92 Kept: 2425
% 15.49/15.92 Inuse: 244
% 15.49/15.92 Deleted: 2
% 15.49/15.92 Deletedinuse: 0
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 17051
% 15.49/15.92 Kept: 4433
% 15.49/15.92 Inuse: 384
% 15.49/15.92 Deleted: 5
% 15.49/15.92 Deletedinuse: 2
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 25098
% 15.49/15.92 Kept: 6528
% 15.49/15.92 Inuse: 477
% 15.49/15.92 Deleted: 6
% 15.49/15.92 Deletedinuse: 2
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 34520
% 15.49/15.92 Kept: 9064
% 15.49/15.92 Inuse: 483
% 15.49/15.92 Deleted: 7
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 45484
% 15.49/15.92 Kept: 11164
% 15.49/15.92 Inuse: 557
% 15.49/15.92 Deleted: 7
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 59246
% 15.49/15.92 Kept: 13402
% 15.49/15.92 Inuse: 602
% 15.49/15.92 Deleted: 7
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 66128
% 15.49/15.92 Kept: 15515
% 15.49/15.92 Inuse: 662
% 15.49/15.92 Deleted: 7
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 94922
% 15.49/15.92 Kept: 18173
% 15.49/15.92 Inuse: 696
% 15.49/15.92 Deleted: 8
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying clauses:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 103278
% 15.49/15.92 Kept: 20235
% 15.49/15.92 Inuse: 739
% 15.49/15.92 Deleted: 1321
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 121259
% 15.49/15.92 Kept: 22235
% 15.49/15.92 Inuse: 781
% 15.49/15.92 Deleted: 1321
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 145874
% 15.49/15.92 Kept: 25327
% 15.49/15.92 Inuse: 799
% 15.49/15.92 Deleted: 1321
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 159440
% 15.49/15.92 Kept: 27544
% 15.49/15.92 Inuse: 824
% 15.49/15.92 Deleted: 1321
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 170370
% 15.49/15.92 Kept: 29665
% 15.49/15.92 Inuse: 859
% 15.49/15.92 Deleted: 1321
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 179345
% 15.49/15.92 Kept: 31890
% 15.49/15.92 Inuse: 904
% 15.49/15.92 Deleted: 1321
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 199239
% 15.49/15.92 Kept: 34722
% 15.49/15.92 Inuse: 934
% 15.49/15.92 Deleted: 1321
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 217064
% 15.49/15.92 Kept: 36725
% 15.49/15.92 Inuse: 951
% 15.49/15.92 Deleted: 1321
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 233279
% 15.49/15.92 Kept: 39309
% 15.49/15.92 Inuse: 964
% 15.49/15.92 Deleted: 1321
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying clauses:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 249366
% 15.49/15.92 Kept: 41709
% 15.49/15.92 Inuse: 984
% 15.49/15.92 Deleted: 1530
% 15.49/15.92 Deletedinuse: 3
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 262775
% 15.49/15.92 Kept: 43743
% 15.49/15.92 Inuse: 1014
% 15.49/15.92 Deleted: 1531
% 15.49/15.92 Deletedinuse: 4
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 298263
% 15.49/15.92 Kept: 46279
% 15.49/15.92 Inuse: 1054
% 15.49/15.92 Deleted: 1531
% 15.49/15.92 Deletedinuse: 4
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 320294
% 15.49/15.92 Kept: 48460
% 15.49/15.92 Inuse: 1079
% 15.49/15.92 Deleted: 1531
% 15.49/15.92 Deletedinuse: 4
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 350577
% 15.49/15.92 Kept: 50558
% 15.49/15.92 Inuse: 1094
% 15.49/15.92 Deleted: 1531
% 15.49/15.92 Deletedinuse: 4
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 359257
% 15.49/15.92 Kept: 52606
% 15.49/15.92 Inuse: 1104
% 15.49/15.92 Deleted: 1531
% 15.49/15.92 Deletedinuse: 4
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 384944
% 15.49/15.92 Kept: 55307
% 15.49/15.92 Inuse: 1154
% 15.49/15.92 Deleted: 1531
% 15.49/15.92 Deletedinuse: 4
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 397873
% 15.49/15.92 Kept: 57804
% 15.49/15.92 Inuse: 1159
% 15.49/15.92 Deleted: 1531
% 15.49/15.92 Deletedinuse: 4
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 Intermediate Status:
% 15.49/15.92 Generated: 432183
% 15.49/15.92 Kept: 60993
% 15.49/15.92 Inuse: 1164
% 15.49/15.92 Deleted: 1531
% 15.49/15.92 Deletedinuse: 4
% 15.49/15.92
% 15.49/15.92 Resimplifying inuse:
% 15.49/15.92 Done
% 15.49/15.92
% 15.49/15.92 Resimplifying clauses:
% 15.49/15.92
% 15.49/15.92 Bliksems!, er is een bewijs:
% 15.49/15.92 % SZS status Unsatisfiable
% 15.49/15.92 % SZS output start Refutation
% 15.49/15.92
% 15.49/15.92 clause( 220, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 15.49/15.92 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ),
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 'c_Polynomial_OpCons'( Y, Z, X ), T, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 .
% 15.49/15.92 clause( 286, [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'(
% 15.49/15.92 'v_a', 'v_q', 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.92 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 15.49/15.92 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.92 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 'c_Polynomial_OpCons'( 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.92 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q',
% 15.49/15.92 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 15.49/15.92 .
% 15.49/15.92 clause( 297, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 15.49/15.92 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.92 .
% 15.49/15.92 clause( 43333, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( X, Y
% 15.49/15.92 , 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'(
% 15.49/15.92 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.92 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 'c_Polynomial_OpCons'( X, Z, 'tc_Complex_Ocomplex' ), Y,
% 15.49/15.92 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 15.49/15.92 .
% 15.49/15.92 clause( 60996, [] )
% 15.49/15.92 .
% 15.49/15.92
% 15.49/15.92
% 15.49/15.92 % SZS output end Refutation
% 15.49/15.92 found a proof!
% 15.49/15.92
% 15.49/15.92 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 15.49/15.92
% 15.49/15.92 initialclauses(
% 15.49/15.92 [ clause( 60998, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 15.49/15.92 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 15.49/15.92 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 60999, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 15.49/15.92 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61000, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 15.49/15.92 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 15.49/15.92 , clause( 61001, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61002, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.49/15.92 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 15.49/15.92 'c_Polynomial_Opos__poly'( Z, X ) ) ] )
% 15.49/15.92 , clause( 61003, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.49/15.92 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 15.49/15.92 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ] )
% 15.49/15.92 , clause( 61004, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.49/15.92 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 15.49/15.92 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ] )
% 15.49/15.92 , clause( 61005, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 15.49/15.92 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 15.49/15.92 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61006, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.49/15.92 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61007, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61008, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 15.49/15.92 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 15.49/15.92 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61009, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61010, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 15.49/15.92 X ), X ) ) ] )
% 15.49/15.92 , clause( 61011, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Z, T, X ) ) ] )
% 15.49/15.92 , clause( 61012, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Z, T, X ) ) ] )
% 15.49/15.92 , clause( 61013, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 15.49/15.92 X ), X ) ) ] )
% 15.49/15.92 , clause( 61014, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61015, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61016, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 15.49/15.92 , 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 15.49/15.92 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 15.49/15.92 , clause( 61017, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 15.49/15.92 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 15.49/15.92 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61018, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 15.49/15.92 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 15.49/15.92 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61019, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 15.49/15.92 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61020, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 15.49/15.92 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 15.49/15.92 , clause( 61021, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61022, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61023, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61024, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ),
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61025, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' )
% 15.49/15.92 ), =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 't_a' ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ),
% 15.49/15.92 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), 't_a' ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 15.49/15.92 , clause( 61026, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' )
% 15.49/15.92 ), ~( =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ),
% 15.49/15.92 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1'(
% 15.49/15.92 X ), 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 15.49/15.92 , clause( 61027, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.49/15.92 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61028, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61029, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 15.49/15.92 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61030, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 15.49/15.92 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61031, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 15.49/15.92 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61032, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' )
% 15.49/15.92 ), =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 't_a' ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ), X, 't_a' ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 15.49/15.92 , clause( 61033, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' )
% 15.49/15.92 ), ~( =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ), Y
% 15.49/15.92 , 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 15.49/15.92 , clause( 61034, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 15.49/15.92 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 15.49/15.92 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61035, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61036, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 15.49/15.92 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61037, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 15.49/15.92 , clause( 61038, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 15.49/15.92 , clause( 61039, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61040, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61041, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 15.49/15.92 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 15.49/15.92 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 15.49/15.92 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61042, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61043, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 15.49/15.92 , T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61044, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 15.49/15.92 , T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61045, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61046, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 15.49/15.92 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61047, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.49/15.92 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 15.49/15.92 , clause( 61048, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.49/15.92 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61049, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.49/15.92 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61050, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.49/15.92 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61051, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.49/15.92 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61052, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61053, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61054, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61055, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61056, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61057, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 15.49/15.92 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61058, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 15.49/15.92 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61059, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61060, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61061, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61062, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61063, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.49/15.92 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61064, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61065, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61066, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 15.49/15.92 , clause( 61067, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61068, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61069, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61070, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61071, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61072, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 15.49/15.92 ] )
% 15.49/15.92 , clause( 61073, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 15.49/15.92 ] )
% 15.49/15.92 , clause( 61074, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 15.49/15.92 ] )
% 15.49/15.92 , clause( 61075, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 15.49/15.92 , clause( 61076, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61077, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61078, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 15.49/15.92 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61079, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61080, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61081, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61082, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 15.49/15.92 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 15.49/15.92 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61083, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 15.49/15.92 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 15.49/15.92 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61084, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61085, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61086, [ ~(
% 15.49/15.92 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 15.49/15.92 , clause( 61087, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61088, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 15.49/15.92 , clause( 61089, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61090, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 15.49/15.92 , clause( 61091, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61092, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61093, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 15.49/15.92 , clause( 61094, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 15.49/15.92 , clause( 61095, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61096, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 X ), T, X ) ) ] )
% 15.49/15.92 , clause( 61097, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61098, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61099, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61100, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.92 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61101, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.92 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61102, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61103, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.92 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61104, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.92 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61105, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61106, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.92 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61107, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.92 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61108, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 15.49/15.92 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 15.49/15.92 , clause( 61109, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.92 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61110, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.92 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61111, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61112, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61113, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61114, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61115, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 15.49/15.92 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 15.49/15.92 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 15.49/15.92 , clause( 61116, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 15.49/15.92 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 15.49/15.92 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 15.49/15.92 , clause( 61117, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 15.49/15.92 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61118, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61119, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 15.49/15.92 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 15.49/15.92 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61120, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61121, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61122, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 15.49/15.92 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61123, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 15.49/15.92 'c_Polynomial_Osmult'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61124, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61125, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61126, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61127, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 ~( =( 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X )
% 15.49/15.92 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61128, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 15.49/15.92 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61129, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 15.49/15.92 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 15.49/15.92 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 15.49/15.92 ) ) ] )
% 15.49/15.92 , clause( 61130, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61131, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 15.49/15.92 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 15.49/15.92 ) ) ] )
% 15.49/15.92 , clause( 61132, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 X ), T, X ) ) ] )
% 15.49/15.92 , clause( 61133, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 15.49/15.92 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 15.49/15.92 ) ) ] )
% 15.49/15.92 , clause( 61134, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61135, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 15.49/15.92 , T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61136, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61137, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61138, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 15.49/15.92 , T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61139, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , Z, X ), X ) ) ] )
% 15.49/15.92 , clause( 61140, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 15.49/15.92 , T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61141, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61142, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61143, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.92 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.92 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 15.49/15.92 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 15.49/15.92 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61144, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 15.49/15.92 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61145, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61146, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 15.49/15.92 =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61147, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 15.49/15.92 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61148, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 15.49/15.92 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61149, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 15.49/15.92 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61150, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61151, [ ~(
% 15.49/15.92 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 15.49/15.92 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61152, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61153, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61154, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61155, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 15.49/15.92 , X ) ) ] )
% 15.49/15.92 , clause( 61156, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 15.49/15.92 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61157, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 15.49/15.92 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 15.49/15.92 , clause( 61158, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 15.49/15.92 , clause( 61159, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 15.49/15.92 , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 15.49/15.92 , clause( 61160, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61161, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 15.49/15.92 , clause( 61162, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 15.49/15.92 Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 15.49/15.92 , clause( 61163, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 15.49/15.92 , clause( 61164, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'(
% 15.49/15.92 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 15.49/15.92 , clause( 61165, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 15.49/15.92 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61166, [ ~( 'class_Orderings_Oorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 15.49/15.92 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 15.49/15.92 , clause( 61167, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 15.49/15.92 ), X ), Y ) ] )
% 15.49/15.92 , clause( 61168, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61169, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Opoly'(
% 15.49/15.92 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 15.49/15.92 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 15.49/15.92 ) ) ] )
% 15.49/15.92 , clause( 61170, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X
% 15.49/15.92 ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 15.49/15.92 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61171, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 15.49/15.92 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 15.49/15.92 , clause( 61172, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 15.49/15.92 ), =( Z, Y ) ] )
% 15.49/15.92 , clause( 61173, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 15.49/15.92 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 15.49/15.92 , clause( 61174, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 15.49/15.92 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 15.49/15.92 , clause( 61175, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 15.49/15.92 , clause( 61176, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61177, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61178, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 15.49/15.92 ), =( Z, Y ) ] )
% 15.49/15.92 , clause( 61179, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 15.49/15.92 , X ) ) ] )
% 15.49/15.92 , clause( 61180, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 15.49/15.92 , clause( 61181, [ ~( 'class_Orderings_Oorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 15.49/15.92 , X ) ) ] )
% 15.49/15.92 , clause( 61182, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 15.49/15.92 , clause( 61183, [ ~( 'class_Orderings_Oorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 15.49/15.92 , X ) ) ] )
% 15.49/15.92 , clause( 61184, [ ~( 'class_Orderings_Oorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 15.49/15.92 Y, Z ) ] )
% 15.49/15.92 , clause( 61185, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 15.49/15.92 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 15.49/15.92 , clause( 61186, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 15.49/15.92 , clause( 61187, [ ~( 'class_Orderings_Oorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 15.49/15.92 Z, Y ) ] )
% 15.49/15.92 , clause( 61188, [ ~( 'class_Orderings_Oorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 15.49/15.92 , X ) ) ] )
% 15.49/15.92 , clause( 61189, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 15.49/15.92 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 15.49/15.92 , clause( 61190, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 15.49/15.92 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 15.49/15.92 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61191, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61192, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 ~( =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X
% 15.49/15.92 ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61193, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 15.49/15.92 , X ) ) ] )
% 15.49/15.92 , clause( 61194, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61195, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 15.49/15.92 , clause( 61196, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61197, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 15.49/15.92 , clause( 61198, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 ~( =( 'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 15.49/15.92 ), =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61199, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 15.49/15.92 , X ) ) ] )
% 15.49/15.92 , clause( 61200, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 15.49/15.92 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 15.49/15.92 , clause( 61201, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61202, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 15.49/15.92 'c_lessequals'( Z, Y, X ) ) ] )
% 15.49/15.92 , clause( 61203, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 15.49/15.92 , clause( 61204, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 15.49/15.92 'c_lessequals'( Z, Y, X ) ) ] )
% 15.49/15.92 , clause( 61205, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 15.49/15.92 , clause( 61206, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 15.49/15.92 , clause( 61207, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 15.49/15.92 , clause( 61208, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 15.49/15.92 'c_lessequals'( Y, Z, X ) ) ] )
% 15.49/15.92 , clause( 61209, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61210, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 15.49/15.92 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61211, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61212, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 15.49/15.92 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 15.49/15.92 , clause( 61213, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 15.49/15.92 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 15.49/15.92 , clause( 61214, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61215, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 15.49/15.92 , Y, X ) ] )
% 15.49/15.92 , clause( 61216, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 15.49/15.92 , X ) ] )
% 15.49/15.92 , clause( 61217, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 15.49/15.92 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61218, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 15.49/15.92 , clause( 61219, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 15.49/15.92 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 15.49/15.92 ] )
% 15.49/15.92 , clause( 61220, [ ~( 'class_Orderings_Oorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 15.49/15.92 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 15.49/15.92 , clause( 61221, [ ~( 'class_Orderings_Oorder'( X ) ),
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 15.49/15.92 , clause( 61222, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 15.49/15.92 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61223, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 15.49/15.92 Y, X ) ) ] )
% 15.49/15.92 , clause( 61224, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 15.49/15.92 Y, X ) ) ] )
% 15.49/15.92 , clause( 61225, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 15.49/15.92 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 15.49/15.92 , clause( 61226, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 15.49/15.92 Y, X ) ) ] )
% 15.49/15.92 , clause( 61227, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 15.49/15.92 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 15.49/15.92 Y, X ) ) ] )
% 15.49/15.92 , clause( 61228, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 15.49/15.92 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61229, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 15.49/15.92 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 15.49/15.92 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 15.49/15.92 ) ] )
% 15.49/15.92 , clause( 61230, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 15.49/15.92 , clause( 61231, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 15.49/15.92 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 15.49/15.92 , clause( 61232, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 15.49/15.92 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.92 , clause( 61233, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 15.49/15.92 , clause( 61234, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 X ), X ) ) ] )
% 15.49/15.92 , clause( 61235, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.92 X ), X ) ) ] )
% 15.49/15.92 , clause( 61236, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61237, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61238, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 15.49/15.92 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ] )
% 15.49/15.92 , clause( 61239, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 15.49/15.92 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ] )
% 15.49/15.92 , clause( 61240, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 15.49/15.92 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ] )
% 15.49/15.92 , clause( 61241, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 15.49/15.92 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61242, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 15.49/15.92 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 'c_Polynomial_Osmult'( T,
% 15.49/15.92 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 15.49/15.92 ), 'c_Polynomial_OpCons'( Y,
% 15.49/15.92 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 15.49/15.92 ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61243, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.92 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 15.49/15.92 ) ) ] )
% 15.49/15.92 , clause( 61244, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61245, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61246, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 15.49/15.92 ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 15.49/15.92 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61247, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 15.49/15.92 ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 15.49/15.92 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61248, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61249, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61250, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.92 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61251, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61252, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61253, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61254, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 15.49/15.92 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61255, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.92 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61256, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.92 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 15.49/15.92 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.92 , clause( 61257, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 15.49/15.92 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 15.49/15.92 =( Y, T ) ] )
% 15.49/15.92 , clause( 61258, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 15.49/15.92 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 15.49/15.92 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.92 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 15.49/15.92 =( Y, T ) ] )
% 15.49/15.92 , clause( 61259, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 15.49/15.92 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 15.49/15.92 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 15.49/15.92 )
% 15.49/15.92 , clause( 61260, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 15.49/15.92 X ) ) ] )
% 15.49/15.92 , clause( 61261, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.92 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 15.49/15.92 Y, X ) ) ] )
% 15.49/15.92 , clause( 61262, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.92 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 15.49/15.92 Y, X ) ) ] )
% 15.49/15.92 , clause( 61263, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 15.49/15.92 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 15.49/15.92 , clause( 61264, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 15.49/15.92 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 T, Z, X ) ) ), =( Y, T ) ] )
% 15.49/15.92 , clause( 61265, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 15.49/15.92 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 Y, T, X ) ) ), =( Z, T ) ] )
% 15.49/15.92 , clause( 61266, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 15.49/15.92 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 15.49/15.92 , clause( 61267, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 15.49/15.92 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 15.49/15.92 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 15.49/15.92 , clause( 61268, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.92 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 15.49/15.92 X ), X ) ) ] )
% 15.49/15.92 , clause( 61269, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.92 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 15.49/15.92 ) ) ] )
% 15.49/15.92 , clause( 61270, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 15.49/15.92 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61271, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.92 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 15.49/15.92 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 15.49/15.92 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61272, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.92 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 15.49/15.92 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 15.49/15.92 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.92 , clause( 61273, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 15.49/15.92 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61274, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 15.49/15.92 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61275, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 15.49/15.92 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 15.49/15.92 , clause( 61276, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 15.49/15.92 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.92 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 15.49/15.93 , clause( 61277, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 15.49/15.93 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 15.49/15.93 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 15.49/15.93 , clause( 61278, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 15.49/15.93 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 15.49/15.93 , X ), T, X ) ) ] )
% 15.49/15.93 , clause( 61279, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 15.49/15.93 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 15.49/15.93 , T, X ), X ) ) ] )
% 15.49/15.93 , clause( 61280, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 15.49/15.93 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 15.49/15.93 , X ), T, X ) ) ] )
% 15.49/15.93 , clause( 61281, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.93 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 Z, T, X ), X ) ) ] )
% 15.49/15.93 , clause( 61282, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.93 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 15.49/15.93 T, X ), Z, X ) ) ] )
% 15.49/15.93 , clause( 61283, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 15.49/15.93 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 15.49/15.93 T, X ), X ) ) ] )
% 15.49/15.93 , clause( 61284, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 15.49/15.93 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 15.49/15.93 , clause( 61285, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.93 =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 15.49/15.93 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.93 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ] )
% 15.49/15.93 , clause( 61286, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.93 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 15.49/15.93 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 15.49/15.93 ) ) ] )
% 15.49/15.93 , clause( 61287, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 15.49/15.93 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 15.49/15.93 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 15.49/15.93 ) ) ] )
% 15.49/15.93 , clause( 61288, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 15.49/15.93 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.93 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.93 , clause( 61289, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 15.49/15.93 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ] )
% 15.49/15.93 , clause( 61290, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 15.49/15.93 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ] )
% 15.49/15.93 , clause( 61291, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 15.49/15.93 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 15.49/15.93 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 15.49/15.93 , clause( 61292, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.93 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 15.49/15.93 , clause( 61293, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.93 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 15.49/15.93 , clause( 61294, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 15.49/15.93 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 15.49/15.93 , clause( 61295, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 15.49/15.93 ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 15.49/15.93 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.93 , clause( 61296, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 15.49/15.93 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.93 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.93 , clause( 61297, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 15.49/15.93 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.93 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.93 , clause( 61298, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.93 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 15.49/15.93 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.93 , clause( 61299, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 15.49/15.93 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 15.49/15.93 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 15.49/15.93 , clause( 61300, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.93 =( 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 15.49/15.93 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.93 , clause( 61301, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.93 =( 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.93 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.93 , clause( 61302, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 15.49/15.93 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 15.49/15.93 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 15.49/15.93 , clause( 61303, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 15.49/15.93 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 15.49/15.93 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 15.49/15.93 , clause( 61304, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 Z, Y, X ) ) ] )
% 15.49/15.93 , clause( 61305, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 15.49/15.93 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 15.49/15.93 )
% 15.49/15.93 , clause( 61306, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 Z, Y, X ) ) ] )
% 15.49/15.93 , clause( 61307, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 15.49/15.93 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 15.49/15.93 ) ) ] )
% 15.49/15.93 , clause( 61308, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 15.49/15.93 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 15.49/15.93 ) ) ] )
% 15.49/15.93 , clause( 61309, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 15.49/15.93 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 15.49/15.93 , X ) ) ] )
% 15.49/15.93 , clause( 61310, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 15.49/15.93 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 15.49/15.93 ) ) ] )
% 15.49/15.93 , clause( 61311, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 15.49/15.93 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 15.49/15.93 ) ) ] )
% 15.49/15.93 , clause( 61312, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 15.49/15.93 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 15.49/15.93 , X ) ) ] )
% 15.49/15.93 , clause( 61313, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 15.49/15.93 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 15.49/15.93 , X ) ) ] )
% 15.49/15.93 , clause( 61314, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 15.49/15.93 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 15.49/15.93 , X ) ) ] )
% 15.49/15.93 , clause( 61315, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 15.49/15.93 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 15.49/15.93 , X ) ) ] )
% 15.49/15.93 , clause( 61316, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 15.49/15.93 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 15.49/15.93 , clause( 61317, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 15.49/15.93 )
% 15.49/15.93 , clause( 61318, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 15.49/15.93 )
% 15.49/15.93 , clause( 61319, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.93 =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 15.49/15.93 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 15.49/15.93 ] )
% 15.49/15.93 , clause( 61320, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 15.49/15.93 ] )
% 15.49/15.93 , clause( 61321, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 15.49/15.93 ] )
% 15.49/15.93 , clause( 61322, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 15.49/15.93 ] )
% 15.49/15.93 , clause( 61323, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 15.49/15.93 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 15.49/15.93 , clause( 61324, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 15.49/15.93 ) ] )
% 15.49/15.93 , clause( 61325, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 15.49/15.93 ] )
% 15.49/15.93 , clause( 61326, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 15.49/15.93 ) ] )
% 15.49/15.93 , clause( 61327, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 15.49/15.93 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 15.49/15.93 ) ] )
% 15.49/15.93 , clause( 61328, [ ~( =( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q',
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ),
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( 'v_a', 'v_q',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 15.49/15.93 , clause( 61329, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 15.49/15.93 , clause( 61330, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61331, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61332, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61333, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61334, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61335, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61336, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61337, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61338, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61339, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61340, [ 'class_RealVector_Oreal__normed__algebra'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61341, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61342, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61343, [ 'class_Ring__and__Field_Odivision__ring'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61344, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61345, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61346, [ 'class_OrderedGroup_Oab__group__add'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61347, [ 'class_Ring__and__Field_Omult__zero'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61348, [ 'class_Ring__and__Field_Osemiring'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61349, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 15.49/15.93 ) ] )
% 15.49/15.93 , clause( 61350, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 15.49/15.93 ] )
% 15.49/15.93 , clause( 61351, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 15.49/15.93 ] )
% 15.49/15.93 , clause( 61352, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61353, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61354, [
% 15.49/15.93 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61355, [
% 15.49/15.93 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61356, [
% 15.49/15.93 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61357, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61358, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61359, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61360, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61361, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 15.49/15.93 )
% 15.49/15.93 , clause( 61362, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 15.49/15.93 , clause( 61363, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61364, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61365, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 15.49/15.93 , clause( 61366, [ 'class_Ring__and__Field_Opordered__semiring'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61367, [ 'class_Ring__and__Field_Oordered__semiring'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61368, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 15.49/15.93 )
% 15.49/15.93 , clause( 61369, [ 'class_Ring__and__Field_Oordered__semidom'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61370, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 15.49/15.93 , clause( 61371, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 15.49/15.93 , clause( 61372, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 15.49/15.93 , clause( 61373, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61374, [ 'class_Ring__and__Field_Opordered__ring'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61375, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 15.49/15.93 , clause( 61376, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61377, [ 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61378, [ 'class_Ring__and__Field_Omult__mono1'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61379, [ 'class_OrderedGroup_Oab__group__add'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 15.49/15.93 ) ) ] )
% 15.49/15.93 , clause( 61380, [ 'class_Ring__and__Field_Omult__zero'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 15.49/15.93 , clause( 61381, [ 'class_Ring__and__Field_Omult__mono'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 15.49/15.93 X ) ) ] )
% 15.49/15.93 , clause( 61382, [ 'class_Ring__and__Field_Osemiring'(
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 15.49/15.93 , clause( 61383, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'(
% 15.49/15.93 X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ] )
% 15.49/15.93 , clause( 61384, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X
% 15.49/15.93 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 15.49/15.93 , clause( 61385, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X )
% 15.49/15.93 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 15.49/15.93 , clause( 61386, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X )
% 15.49/15.93 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 15.49/15.93 , clause( 61387, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ),
% 15.49/15.93 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 15.49/15.93 , clause( 61388, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 15.49/15.93 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 15.49/15.93 , clause( 61389, [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 15.49/15.93 'class_HOL_Ozero'( X ) ) ] )
% 15.49/15.93 ] ).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 eqswap(
% 15.49/15.93 clause( 61667, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( X, T
% 15.49/15.93 , Z ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( Z ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( Z ) ), Z ),
% 15.49/15.93 'tc_Polynomial_Opoly'( Z ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( X, Y, Z ), T, 'tc_Polynomial_Opoly'( Z ) ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__0'( Z ) ) ] )
% 15.49/15.93 , clause( 61245, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 15.49/15.93 =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.93 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.93 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 15.49/15.93 ).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 subsumption(
% 15.49/15.93 clause( 220, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 15.49/15.93 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ),
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( Y, Z, X ), T, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.93 , clause( 61667, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( X
% 15.49/15.93 , T, Z ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( Z ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( Z ) ), Z ),
% 15.49/15.93 'tc_Polynomial_Opoly'( Z ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( X, Y, Z ), T, 'tc_Polynomial_Opoly'( Z ) ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__0'( Z ) ) ] )
% 15.49/15.93 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 15.49/15.93 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 eqswap(
% 15.49/15.93 clause( 62071, [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'(
% 15.49/15.93 'v_a', 'v_q', 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q',
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 15.49/15.93 , clause( 61328, [ ~( =( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q',
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ),
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( 'v_a', 'v_q',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 15.49/15.93 , 0, substitution( 0, [] )).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 subsumption(
% 15.49/15.93 clause( 286, [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'(
% 15.49/15.93 'v_a', 'v_q', 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q',
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 15.49/15.93 , clause( 62071, [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'(
% 15.49/15.93 'v_a', 'v_q', 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q',
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 15.49/15.93 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 subsumption(
% 15.49/15.93 clause( 297, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , clause( 61339, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 eqswap(
% 15.49/15.93 clause( 62476, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( X
% 15.49/15.93 , T, Z ), Y, 'tc_Polynomial_Opoly'( Z ) ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.93 'c_Polynomial_Osmult'( X, Y, Z ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( Z ), 'c_HOL_Otimes__class_Otimes'( T, Y,
% 15.49/15.93 'tc_Polynomial_Opoly'( Z ) ), Z ), 'tc_Polynomial_Opoly'( Z ) ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__0'( Z ) ) ] )
% 15.49/15.93 , clause( 220, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 15.49/15.93 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 15.49/15.93 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ),
% 15.49/15.93 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( Y, Z, X ), T, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 15.49/15.93 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 15.49/15.93 ).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 resolution(
% 15.49/15.93 clause( 62477, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( X
% 15.49/15.93 , Y, 'tc_Complex_Ocomplex' ), Z, 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.93 'c_Polynomial_Osmult'( X, Z, 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 15.49/15.93 ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ) ) ] )
% 15.49/15.93 , clause( 62476, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'(
% 15.49/15.93 X, T, Z ), Y, 'tc_Polynomial_Opoly'( Z ) ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.93 'c_Polynomial_Osmult'( X, Y, Z ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( Z ), 'c_HOL_Otimes__class_Otimes'( T, Y,
% 15.49/15.93 'tc_Polynomial_Opoly'( Z ) ), Z ), 'tc_Polynomial_Opoly'( Z ) ) ), ~(
% 15.49/15.93 'class_Ring__and__Field_Ocomm__semiring__0'( Z ) ) ] )
% 15.49/15.93 , 1, clause( 297, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ] )
% 15.49/15.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z,
% 15.49/15.93 'tc_Complex_Ocomplex' ), :=( T, Y )] ), substitution( 1, [] )).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 eqswap(
% 15.49/15.93 clause( 62478, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( X, Z
% 15.49/15.93 , 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( X, Y, 'tc_Complex_Ocomplex' ), Z,
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 15.49/15.93 , clause( 62477, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'(
% 15.49/15.93 X, Y, 'tc_Complex_Ocomplex' ), Z, 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'(
% 15.49/15.93 'c_Polynomial_Osmult'( X, Z, 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 15.49/15.93 ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ) ) ] )
% 15.49/15.93 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 subsumption(
% 15.49/15.93 clause( 43333, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( X, Y
% 15.49/15.93 , 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( X, Z, 'tc_Complex_Ocomplex' ), Y,
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 15.49/15.93 , clause( 62478, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( X
% 15.49/15.93 , Z, 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( X, Y, 'tc_Complex_Ocomplex' ), Z,
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 15.49/15.93 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 15.49/15.93 permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 paramod(
% 15.49/15.93 clause( 62481, [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'(
% 15.49/15.93 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p', 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q',
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 15.49/15.93 , clause( 43333, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( X
% 15.49/15.93 , Y, 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( X, Z, 'tc_Complex_Ocomplex' ), Y,
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 15.49/15.93 , 0, clause( 286, [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'(
% 15.49/15.93 'v_a', 'v_q', 'tc_Complex_Ocomplex' ), 'c_Polynomial_OpCons'(
% 15.49/15.93 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q',
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 15.49/15.93 , 0, 2, substitution( 0, [ :=( X, 'v_a' ), :=( Y, 'v_q' ), :=( Z,
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_b', 'v_p', 'tc_Complex_Ocomplex' ) )] ),
% 15.49/15.93 substitution( 1, [] )).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 eqrefl(
% 15.49/15.93 clause( 62482, [] )
% 15.49/15.93 , clause( 62481, [ ~( =( 'c_HOL_Otimes__class_Otimes'(
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_a', 'c_Polynomial_OpCons'( 'v_b', 'v_p',
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q',
% 15.49/15.93 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ),
% 15.49/15.93 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( 'v_a',
% 15.49/15.93 'c_Polynomial_OpCons'( 'v_b', 'v_p', 'tc_Complex_Ocomplex' ),
% 15.49/15.93 'tc_Complex_Ocomplex' ), 'v_q', 'tc_Polynomial_Opoly'(
% 15.49/15.93 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 15.49/15.93 , 0, substitution( 0, [] )).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 subsumption(
% 15.49/15.93 clause( 60996, [] )
% 15.49/15.93 , clause( 62482, [] )
% 15.49/15.93 , substitution( 0, [] ), permutation( 0, [] ) ).
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 end.
% 15.49/15.93
% 15.49/15.93 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 15.49/15.93
% 15.49/15.93 Memory use:
% 15.49/15.93
% 15.49/15.93 space for terms: 2025179
% 15.49/15.93 space for clauses: 2540762
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 clauses generated: 432278
% 15.49/15.93 clauses kept: 60997
% 15.49/15.93 clauses selected: 1164
% 15.49/15.93 clauses deleted: 1689
% 15.49/15.93 clauses inuse deleted: 4
% 15.49/15.93
% 15.49/15.93 subsentry: 1471466
% 15.49/15.93 literals s-matched: 1069665
% 15.49/15.93 literals matched: 961798
% 15.49/15.93 full subsumption: 623019
% 15.49/15.93
% 15.49/15.93 checksum: -1827475840
% 15.49/15.93
% 15.49/15.93
% 15.49/15.93 Bliksem ended
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