TSTP Solution File: ALG386-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG386-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 12:10:39 EDT 2022
% Result : Unsatisfiable 72.53s 72.90s
% Output : Refutation 72.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG386-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.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 01:48:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.79/1.20 *** allocated 10000 integers for termspace/termends
% 0.79/1.20 *** allocated 10000 integers for clauses
% 0.79/1.20 *** allocated 10000 integers for justifications
% 0.79/1.20 *** allocated 15000 integers for termspace/termends
% 0.79/1.20 Bliksem 1.12
% 0.79/1.20
% 0.79/1.20
% 0.79/1.20 Automatic Strategy Selection
% 0.79/1.20
% 0.79/1.20 Clauses:
% 0.79/1.20 [
% 0.79/1.20 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.79/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.79/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.79/1.20 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.79/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.79/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.79/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.20 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.79/1.20 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.79/1.20 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.79/1.20 ), X ) ],
% 0.79/1.20 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.79/1.20 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y,
% 0.79/1.20 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.20 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.20 Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.79/1.20 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.79/1.20 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.79/1.20 , X ), W, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.79/1.20 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.79/1.20 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.20 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.79/1.20 X ) ) ],
% 0.79/1.20 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.79/1.20 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.79/1.20 ],
% 0.79/1.20 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.79/1.20 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.79/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.20 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.20 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.79/1.20 ), Y ) ],
% 0.79/1.20 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.79/1.20 , T, X ) ) ), =( Z, T ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.79/1.20 , T, X ) ) ), =( Y, Z ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.79/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.79/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.79/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.79/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.79/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.79/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.79/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.79/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.79/1.20 , U, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.79/1.20 ), Y ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.79/1.20 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ), =( Y, Z ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ), =( Y, Z ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.79/1.20 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.79/1.20 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.79/1.20 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.20 Z, Y, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.79/1.20 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.79/1.20 , X ), W, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.79/1.20 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.79/1.20 , X ), T, X ), W, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.79/1.20 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.79/1.20 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.79/1.20 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.79/1.20 'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ), X ), X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.79/1.20 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.79/1.20 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.79/1.20 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.79/1.20 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.79/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.20 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.79/1.20 'tc_RealDef_Oreal' ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.79/1.20 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.20 ), Y ) ],
% 0.79/1.20 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.20 ), Y ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.20 ), Y ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.79/1.20 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.79/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.79/1.20 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.79/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.79/1.20 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 Y, T, X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.79/1.20 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.79/1.20 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.79/1.20 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.79/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.79/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.79/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.79/1.20 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 Y, Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.79/1.20 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.79/1.20 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.79/1.20 [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.79/1.20 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.79/1.20 , Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.79/1.20 , Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.79/1.20 ), X ), Y ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.79/1.20 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.79/1.20 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.79/1.20 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.79/1.20 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.20 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.79/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.79/1.20 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.20 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y,
% 0.79/1.20 'tc_nat' ), X ), X ), X ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.79/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.79/1.20 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.79/1.20 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.79/1.20 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.20 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.79/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.79/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.79/1.20 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ), X ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.79/1.20 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.20 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.79/1.20 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.79/1.20 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.20 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.20 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.20 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.20 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.79/1.20 , X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.79/1.20 , X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.79/1.20 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.79/1.20 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.20 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.79/1.20 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.79/1.20 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.79/1.20 [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.79/1.20 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.79/1.20 Y, X ), X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ), ~(
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.20 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.79/1.20 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.20 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.79/1.20 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.79/1.20 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.79/1.20 , X ) ) ), =( Y, Z ) ],
% 0.79/1.20 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.79/1.20 , X ) ) ), =( Y, Z ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.20 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.20 Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.79/1.20 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.79/1.20 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.20 , Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.79/1.20 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.79/1.20 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.79/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.79/1.20 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.79/1.20 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.20 Y, X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.20 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.20 Y, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.79/1.20 T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.79/1.20 X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.79/1.20 T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.79/1.20 X ), T, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.79/1.20 T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.79/1.20 X ), T, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.20 Y, X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.79/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.79/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.79/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.79/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 Y, Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 Y, Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.20 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.79/1.20 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.79/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.79/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 0.79/1.20 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.79/1.20 'c_lessequals'( Y, Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.79/1.20 'c_lessequals'( Y, Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.79/1.20 X ) ) ), =( Z, T ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.79/1.20 X ) ) ), =( Z, T ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.79/1.20 X ) ) ), =( Y, T ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.79/1.20 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.79/1.20 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.79/1.20 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.79/1.20 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.79/1.20 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 0.79/1.20 , 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 0.79/1.20 ), 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 0.79/1.20 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 0.79/1.20 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 0.79/1.20 , 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 0.79/1.20 , 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 0.79/1.20 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 0.79/1.20 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 0.79/1.20 , ~( 'c_lessequals'( Y, W, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.79/1.20 X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.79/1.20 X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.79/1.20 X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.79/1.20 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.79/1.20 Y, Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.20 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.20 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.79/1.20 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.79/1.20 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.79/1.20 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.20 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.20 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.20 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.79/1.20 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.79/1.20 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.79/1.20 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.79/1.20 ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.79/1.20 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.79/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.79/1.20 X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.79/1.20 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.20 Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.20 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.20 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.20 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.79/1.20 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.79/1.20 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.79/1.20 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.79/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.79/1.20 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.79/1.20 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.79/1.20 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.79/1.20 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.79/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.79/1.20 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.79/1.20 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.79/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.79/1.20 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.79/1.20 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.79/1.20 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.20 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.79/1.20 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.20 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.79/1.20 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.79/1.20 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.79/1.20 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.79/1.20 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.79/1.20 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.79/1.20 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.79/1.20 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.79/1.20 ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.79/1.20 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.79/1.20 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.79/1.20 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.79/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.79/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.79/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.79/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.79/1.20 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.20 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.79/1.20 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.20 ), X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.79/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.20 , X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.79/1.20 , X ), X ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.79/1.20 , X ), X ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.79/1.20 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.79/1.20 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.20 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.79/1.20 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.79/1.20 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.79/1.20 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.79/1.20 'tc_RealDef_Oreal' ) ],
% 0.79/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.79/1.20 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.79/1.20 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 0.79/1.20 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 0.79/1.20 [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.20 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, 'tc_Complex_Ocomplex'
% 0.79/1.20 ), T, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.79/1.20 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.79/1.20 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1'( Y
% 0.79/1.20 , X, Z ), 'c_RealVector_Onorm__class_Onorm'( T, 'tc_Complex_Ocomplex' ),
% 0.79/1.20 'tc_RealDef_Oreal' ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.79/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.20 'c_Polynomial_Opoly'( X,
% 0.79/1.20 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'(
% 0.79/1.20 X, Y ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( X, Z,
% 0.79/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 0.79/1.20 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( Z,
% 0.79/1.20 'tc_Complex_Ocomplex' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.20 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.79/1.20 'tc_Complex_Ocomplex' ),
% 0.79/1.20 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.79/1.20 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 0.79/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.20 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.20 'c_Polynomial_Opoly'( 'v_cs____', 'v_sko__local__XpCons__1'( 'v_cs____' )
% 0.79/1.20 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.79/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_cs____', X,
% 0.79/1.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 0.79/1.20 ,
% 0.79/1.20 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.20 'c_Polynomial_Opoly'( 'v_cs____', 'v_sko__local__XpCons__Xhyps__1'(
% 0.79/1.21 'v_cs____' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.79/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_cs____', X,
% 0.79/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'v_thesis____', 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.21 'v_sko__local__Xthat__1'( 'v_c____', 'v_cs____', X ),
% 0.79/1.21 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'v_thesis____', ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.21 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.79/1.21 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.79/1.21 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 0.79/1.21 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 0.79/1.21 'v_sko__local__Xthat__1'( 'v_c____', 'v_cs____', X ),
% 0.79/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) )
% 0.79/1.21 ],
% 0.79/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.79/1.21 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.79/1.21 'c_lessequals'( Z, Y, X ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.79/1.21 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.79/1.21 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.79/1.21 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.79/1.21 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.79/1.21 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.79/1.21 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.79/1.21 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.79/1.21 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.79/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.79/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.79/1.21 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.79/1.21 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.21 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.21 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.79/1.21 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.79/1.21 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 0.79/1.21 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ), X
% 0.79/1.21 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' )
% 0.79/1.21 , ~( 'c_lessequals'( 'v_sko__CHAINED__1'( 'v_c____', 'v_cs____' ),
% 0.79/1.21 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.79/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.21 [ ~( 'v_thesis____' ) ],
% 0.79/1.21 [ 'v_thesis____', 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.21 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'v_thesis____', ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.79/1.21 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.79/1.21 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.79/1.21 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 0.79/1.21 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 0.79/1.21 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.79/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.79/1.21 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.79/1.21 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.79/1.21 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.79/1.21 ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.79/1.21 ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.79/1.21 ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.79/1.21 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.79/1.21 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.79/1.21 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.79/1.21 ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.79/1.21 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.79/1.21 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.79/1.21 ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.79/1.21 ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.79/1.21 ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.79/1.21 ],
% 0.79/1.21 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.79/1.21 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.79/1.21 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.79/1.21 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.79/1.21 ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.79/1.21 ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.79/1.21 ],
% 0.79/1.21 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.79/1.21 ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.79/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.79/1.21 X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.79/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.79/1.21 X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.79/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.79/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.79/1.21 X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.79/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.79/1.21 X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.79/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.79/1.21 X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.79/1.21 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.79/1.21 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.79/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.79/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.79/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.79/1.21 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.79/1.21 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.79/1.21 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.79/1.21 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.79/1.21 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.79/1.21 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.79/1.21 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.79/1.21 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.79/1.21 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.79/1.21 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.79/1.21 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.79/1.21 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.79/1.21 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.79/1.21 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.79/1.21 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.79/1.21 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.79/1.21 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.79/1.21 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.79/1.21 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.79/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.79/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.79/1.21 [ 'class_Nat_Osemiring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.79/1.21 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.79/1.21 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.79/1.21 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.79/1.21 X ) ) ]
% 0.79/1.21 ] .
% 0.79/1.21
% 0.79/1.21
% 0.79/1.21 percentage equality = 0.261228, percentage horn = 0.896243
% 0.79/1.21 This is a problem with some equality
% 0.79/1.21
% 0.79/1.21
% 0.79/1.21
% 0.79/1.21 Options Used:
% 0.79/1.21
% 0.79/1.21 useres = 1
% 0.79/1.21 useparamod = 1
% 0.79/1.21 useeqrefl = 1
% 0.79/1.21 useeqfact = 1
% 0.79/1.21 usefactor = 1
% 0.79/1.21 usesimpsplitting = 0
% 0.79/1.21 usesimpdemod = 5
% 0.79/1.21 usesimpres = 3
% 0.79/1.21
% 0.79/1.21 resimpinuse = 1000
% 0.79/1.21 resimpclauses = 20000
% 0.79/1.21 substype = eqrewr
% 0.79/1.21 backwardsubs = 1
% 0.79/1.21 selectoldest = 5
% 0.79/1.21
% 0.79/1.21 litorderings [0] = split
% 0.79/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.21
% 0.79/1.21 termordering = kbo
% 0.79/1.21
% 0.79/1.21 litapriori = 0
% 0.79/1.21 termapriori = 1
% 0.79/1.21 litaposteriori = 0
% 0.79/1.21 termaposteriori = 0
% 0.79/1.21 demodaposteriori = 0
% 0.79/1.21 ordereqreflfact = 0
% 0.79/1.21
% 0.79/1.21 litselect = negord
% 0.79/1.21
% 0.79/1.21 maxweight = 15
% 0.79/1.21 maxdepth = 30000
% 0.79/1.21 maxlength = 115
% 0.79/1.21 maxnrvars = 195
% 0.79/1.21 excuselevel = 1
% 0.79/1.21 increasemaxweight = 1
% 0.79/1.21
% 0.79/1.21 maxselected = 10000000
% 0.79/1.21 maxnrclauses = 10000000
% 0.79/1.21
% 0.79/1.21 showgenerated = 0
% 0.79/1.21 showkept = 0
% 0.79/1.21 showselected = 0
% 0.79/1.21 showdeleted = 0
% 0.79/1.21 showresimp = 1
% 0.79/1.21 showstatus = 2000
% 0.79/1.21
% 0.79/1.21 prologoutput = 1
% 0.79/1.21 nrgoals = 5000000
% 0.79/1.21 totalproof = 1
% 0.79/1.21
% 0.79/1.21 Symbols occurring in the translation:
% 0.79/1.21
% 0.79/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.21 . [1, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.79/1.21 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 0.79/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.21 'tc_RealDef_Oreal' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.79/1.21 'c_HOL_Otimes__class_Otimes' [41, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus' [42, 2] (w:1, o:149, a:1, s:1, b:0),
% 0.79/1.21 'c_lessequals' [44, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.79/1.21 'class_RealVector_Oreal__normed__div__algebra' [48, 1] (w:1, o:59, a:
% 0.79/1.21 1, s:1, b:0),
% 0.79/1.21 'c_RealVector_Onorm__class_Onorm' [49, 2] (w:1, o:150, a:1, s:1, b:0)
% 0.79/1.21 ,
% 0.79/1.21 'class_OrderedGroup_Opordered__ab__group__add__abs' [50, 1] (w:1, o:
% 1.50/1.92 62, a:1, s:1, b:0),
% 1.50/1.92 'c_HOL_Oabs__class_Oabs' [52, 2] (w:1, o:151, a:1, s:1, b:0),
% 1.50/1.92 'c_HOL_Ominus__class_Ominus' [54, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.50/1.92 'class_Nat_Osemiring__char__0' [55, 1] (w:1, o:60, a:1, s:1, b:0),
% 1.50/1.92 'tc_nat' [57, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.50/1.92 'c_Fact_Ofact__class_Ofact' [58, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.50/1.92 'c_Nat_Osemiring__1__class_Oof__nat' [59, 2] (w:1, o:153, a:1, s:1
% 1.50/1.92 , b:0),
% 1.50/1.92 'class_OrderedGroup_Oab__group__add' [60, 1] (w:1, o:63, a:1, s:1, b:
% 1.50/1.92 0),
% 1.50/1.92 'c_HOL_Oplus__class_Oplus' [61, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.50/1.92 'class_OrderedGroup_Ogroup__add' [62, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.50/1.92
% 1.50/1.92 'class_Int_Onumber__ring' [63, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Oring' [64, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.50/1.92 'class_RealVector_Oreal__normed__algebra' [68, 1] (w:1, o:68, a:1, s:
% 1.50/1.92 1, b:0),
% 1.50/1.92 'class_OrderedGroup_Opordered__ab__group__add' [69, 1] (w:1, o:69, a:
% 1.50/1.92 1, s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Ofield' [73, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.50/1.92 'c_HOL_Oinverse__class_Odivide' [74, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.50/1.92
% 1.50/1.92 'class_RealVector_Oreal__normed__field' [75, 1] (w:1, o:71, a:1, s:1
% 1.50/1.92 , b:0),
% 1.50/1.92 'class_Ring__and__Field_Oidom' [84, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.50/1.92 'class_RealVector_Oreal__normed__vector' [85, 1] (w:1, o:73, a:1, s:1
% 1.50/1.92 , b:0),
% 1.50/1.92 'class_Ring__and__Field_Opordered__ring' [86, 1] (w:1, o:81, a:1, s:1
% 1.50/1.92 , b:0),
% 1.50/1.92 'class_RealVector_Oreal__field' [87, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Oordered__semidom' [89, 1] (w:1, o:78, a:1
% 1.50/1.92 , s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Odivision__ring' [90, 1] (w:1, o:88, a:1, s:1
% 1.50/1.92 , b:0),
% 1.50/1.92 'c_HOL_Oinverse__class_Oinverse' [91, 2] (w:1, o:154, a:1, s:1, b:0)
% 1.50/1.92 ,
% 1.50/1.92 'class_OrderedGroup_Olordered__ab__group__add__abs' [92, 1] (w:1, o:
% 1.50/1.92 89, a:1, s:1, b:0),
% 1.50/1.92 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [93, 2] (w:1
% 1.50/1.92 , o:155, a:1, s:1, b:0),
% 1.50/1.92 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [94, 2] (w:1
% 1.50/1.92 , o:156, a:1, s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Oring__no__zero__divisors' [95, 1] (w:1, o:90
% 1.50/1.92 , a:1, s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Odivision__by__zero' [96, 1] (w:1, o:91, a:1
% 1.50/1.92 , s:1, b:0),
% 1.50/1.92 'class_OrderedGroup_Oordered__ab__group__add' [97, 1] (w:1, o:61, a:1
% 1.50/1.92 , s:1, b:0),
% 1.50/1.92 'class_Lattices_Oboolean__algebra' [98, 1] (w:1, o:92, a:1, s:1, b:0)
% 1.50/1.92 ,
% 1.50/1.92 'class_Ring__and__Field_Oordered__field' [99, 1] (w:1, o:79, a:1, s:1
% 1.50/1.92 , b:0),
% 1.50/1.92 'class_Ring__and__Field_Oordered__idom' [100, 1] (w:1, o:80, a:1, s:1
% 1.50/1.92 , b:0),
% 1.50/1.92 'c_Power_Opower__class_Opower' [101, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.50/1.92
% 1.50/1.92 'class_Ring__and__Field_Osemiring' [102, 1] (w:1, o:94, a:1, s:1, b:0
% 1.50/1.92 ),
% 1.50/1.92 'tc_Complex_Ocomplex' [103, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.50/1.92 'c_Complex_ORe' [104, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Ocomm__semiring__1' [105, 1] (w:1, o:86, a:1
% 1.50/1.92 , s:1, b:0),
% 1.50/1.92 'class_OrderedGroup_Oab__semigroup__add' [106, 1] (w:1, o:96, a:1, s:
% 1.50/1.92 1, b:0),
% 1.50/1.92 'class_OrderedGroup_Ocomm__monoid__add' [107, 1] (w:1, o:97, a:1, s:1
% 1.50/1.92 , b:0),
% 1.50/1.92 'class_Ring__and__Field_Olordered__ring' [108, 1] (w:1, o:98, a:1, s:
% 1.50/1.92 1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Omult__zero' [114, 1] (w:1, o:99, a:1, s:1
% 1.50/1.92 , b:0),
% 1.50/1.92 'class_OrderedGroup_Olordered__ab__group__add' [115, 1] (w:1, o:100
% 1.50/1.92 , a:1, s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Oring__1__no__zero__divisors' [116, 1] (w:1
% 1.50/1.92 , o:93, a:1, s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Ozero__neq__one' [117, 1] (w:1, o:101, a:1
% 1.50/1.92 , s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Ono__zero__divisors' [118, 1] (w:1, o:76, a:1
% 1.50/1.92 , s:1, b:0),
% 1.50/1.92 'class_Power_Opower' [119, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.50/1.92 'class_OrderedGroup_Omonoid__add' [120, 1] (w:1, o:102, a:1, s:1, b:0
% 1.50/1.92 ),
% 1.50/1.92 'class_Ring__and__Field_Opordered__ring__abs' [121, 1] (w:1, o:117
% 1.50/1.92 , a:1, s:1, b:0),
% 1.50/1.92 'class_Ring__and__Field_Oordered__ring__strict' [122, 1] (w:1, o:77
% 15.40/15.84 , a:1, s:1, b:0),
% 15.40/15.84 'class_OrderedGroup_Opordered__ab__semigroup__add' [123, 1] (w:1, o:
% 15.40/15.84 103, a:1, s:1, b:0),
% 15.40/15.84 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [124, 1]
% 15.40/15.84 (w:1, o:104, a:1, s:1, b:0),
% 15.40/15.84 'class_HOL_Ozero' [125, 1] (w:1, o:65, a:1, s:1, b:0),
% 15.40/15.84 'c_Polynomial_OpCons' [127, 3] (w:1, o:166, a:1, s:1, b:0),
% 15.40/15.84 'tc_Polynomial_Opoly' [128, 1] (w:1, o:118, a:1, s:1, b:0),
% 15.40/15.84 'class_Ring__and__Field_Ocomm__semiring__0' [129, 1] (w:1, o:85, a:1
% 15.40/15.84 , s:1, b:0),
% 15.40/15.84 'c_Polynomial_Opoly' [130, 3] (w:1, o:167, a:1, s:1, b:0),
% 15.40/15.84 'v_cs____' [131, 0] (w:1, o:47, a:1, s:1, b:0),
% 15.40/15.84 'class_OrderedGroup_Opordered__comm__monoid__add' [132, 1] (w:1, o:
% 15.40/15.84 105, a:1, s:1, b:0),
% 15.40/15.84 'class_OrderedGroup_Oab__semigroup__idem__mult' [133, 1] (w:1, o:106
% 15.40/15.84 , a:1, s:1, b:0),
% 15.40/15.84 'class_OrderedGroup_Ocomm__monoid__mult' [136, 1] (w:1, o:107, a:1
% 15.40/15.84 , s:1, b:0),
% 15.40/15.84 'class_OrderedGroup_Oab__semigroup__mult' [137, 1] (w:1, o:108, a:1
% 15.40/15.84 , s:1, b:0),
% 15.40/15.84 'class_Ring__and__Field_Ocomm__semiring' [138, 1] (w:1, o:87, a:1, s:
% 15.40/15.84 1, b:0),
% 15.40/15.84 'class_OrderedGroup_Ocancel__ab__semigroup__add' [139, 1] (w:1, o:109
% 15.40/15.84 , a:1, s:1, b:0),
% 15.40/15.84 'class_OrderedGroup_Ocancel__semigroup__add' [140, 1] (w:1, o:110, a:
% 15.40/15.84 1, s:1, b:0),
% 15.40/15.84 'class_OrderedGroup_Omonoid__mult' [145, 1] (w:1, o:111, a:1, s:1, b:
% 15.40/15.84 0),
% 15.40/15.84 'c_Polynomial_Osynthetic__div' [146, 3] (w:1, o:168, a:1, s:1, b:0),
% 15.40/15.84
% 15.40/15.84 'class_Ring__and__Field_Opordered__cancel__semiring' [147, 1] (w:1
% 15.40/15.84 , o:119, a:1, s:1, b:0),
% 15.40/15.84 'class_Ring__and__Field_Opordered__semiring' [148, 1] (w:1, o:120, a:
% 15.40/15.84 1, s:1, b:0),
% 15.40/15.84 'class_Ring__and__Field_Omult__mono' [149, 1] (w:1, o:74, a:1, s:1
% 15.40/15.84 , b:0),
% 15.40/15.84 'class_Ring__and__Field_Omult__mono1' [150, 1] (w:1, o:75, a:1, s:1
% 15.40/15.84 , b:0),
% 15.40/15.84 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1' [151
% 15.40/15.84 , 3] (w:1, o:169, a:1, s:1, b:0),
% 15.40/15.84
% 15.40/15.84 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'
% 15.40/15.84 [152, 2] (w:1, o:157, a:1, s:1, b:0),
% 15.40/15.84 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 15.40/15.84 [153, 2] (w:1, o:158, a:1, s:1, b:0),
% 15.40/15.84 'v_sko__local__XpCons__1' [154, 1] (w:1, o:121, a:1, s:1, b:0),
% 15.40/15.84 'v_sko__local__XpCons__Xhyps__1' [155, 1] (w:1, o:122, a:1, s:1, b:0)
% 15.40/15.84 ,
% 15.40/15.84 'v_thesis____' [156, 0] (w:1, o:49, a:1, s:1, b:0),
% 15.40/15.84 'v_c____' [157, 0] (w:1, o:50, a:1, s:1, b:0),
% 15.40/15.84 'v_sko__local__Xthat__1' [158, 3] (w:1, o:170, a:1, s:1, b:0),
% 15.40/15.84 'class_Orderings_Olinorder' [159, 1] (w:1, o:112, a:1, s:1, b:0),
% 15.40/15.84 'class_Orderings_Oorder' [160, 1] (w:1, o:113, a:1, s:1, b:0),
% 15.40/15.84 'class_Orderings_Opreorder' [161, 1] (w:1, o:114, a:1, s:1, b:0),
% 15.40/15.84 'v_sko__CHAINED__1' [165, 2] (w:1, o:159, a:1, s:1, b:0),
% 15.40/15.84 'v_x' [166, 1] (w:1, o:123, a:1, s:1, b:0),
% 15.40/15.84 'class_OrderedGroup_Ocancel__comm__monoid__add' [168, 1] (w:1, o:115
% 15.40/15.84 , a:1, s:1, b:0),
% 15.40/15.84 'class_Ring__and__Field_Ocomm__ring' [169, 1] (w:1, o:83, a:1, s:1
% 15.40/15.84 , b:0),
% 15.40/15.84 'class_Ring__and__Field_Ocomm__ring__1' [170, 1] (w:1, o:84, a:1, s:1
% 15.40/15.84 , b:0).
% 15.40/15.84
% 15.40/15.84
% 15.40/15.84 Starting Search:
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84
% 15.40/15.84 Intermediate Status:
% 15.40/15.84 Generated: 6065
% 15.40/15.84 Kept: 2001
% 15.40/15.84 Inuse: 128
% 15.40/15.84 Deleted: 2
% 15.40/15.84 Deletedinuse: 0
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84
% 15.40/15.84 Intermediate Status:
% 15.40/15.84 Generated: 10397
% 15.40/15.84 Kept: 4107
% 15.40/15.84 Inuse: 193
% 15.40/15.84 Deleted: 4
% 15.40/15.84 Deletedinuse: 1
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84
% 15.40/15.84 Intermediate Status:
% 15.40/15.84 Generated: 17105
% 15.40/15.84 Kept: 6109
% 15.40/15.84 Inuse: 239
% 15.40/15.84 Deleted: 5
% 15.40/15.84 Deletedinuse: 1
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84
% 15.40/15.84 Intermediate Status:
% 15.40/15.84 Generated: 25638
% 15.40/15.84 Kept: 8446
% 15.40/15.84 Inuse: 281
% 15.40/15.84 Deleted: 6
% 15.40/15.84 Deletedinuse: 1
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84
% 15.40/15.84 Intermediate Status:
% 15.40/15.84 Generated: 33129
% 15.40/15.84 Kept: 10694
% 15.40/15.84 Inuse: 336
% 15.40/15.84 Deleted: 6
% 15.40/15.84 Deletedinuse: 1
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84 Resimplifying inuse:
% 15.40/15.84 Done
% 15.40/15.84
% 15.40/15.84
% 15.40/15.84 Intermediate Status:
% 15.40/15.84 Generated: 38768
% 15.40/15.84 Kept: 12713
% 15.40/15.84 Inuse: 410
% 15.40/15.84 Deleted: 7
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 47702
% 56.75/57.12 Kept: 15230
% 56.75/57.12 Inuse: 450
% 56.75/57.12 Deleted: 7
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 59696
% 56.75/57.12 Kept: 17274
% 56.75/57.12 Inuse: 477
% 56.75/57.12 Deleted: 10
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 74112
% 56.75/57.12 Kept: 19415
% 56.75/57.12 Inuse: 492
% 56.75/57.12 Deleted: 10
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying clauses:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 89202
% 56.75/57.12 Kept: 21420
% 56.75/57.12 Inuse: 520
% 56.75/57.12 Deleted: 189
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 97692
% 56.75/57.12 Kept: 24310
% 56.75/57.12 Inuse: 542
% 56.75/57.12 Deleted: 189
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 124061
% 56.75/57.12 Kept: 27059
% 56.75/57.12 Inuse: 562
% 56.75/57.12 Deleted: 189
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 130150
% 56.75/57.12 Kept: 29158
% 56.75/57.12 Inuse: 572
% 56.75/57.12 Deleted: 189
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 150185
% 56.75/57.12 Kept: 31394
% 56.75/57.12 Inuse: 582
% 56.75/57.12 Deleted: 189
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 156908
% 56.75/57.12 Kept: 33671
% 56.75/57.12 Inuse: 592
% 56.75/57.12 Deleted: 189
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 167127
% 56.75/57.12 Kept: 35689
% 56.75/57.12 Inuse: 637
% 56.75/57.12 Deleted: 189
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 176922
% 56.75/57.12 Kept: 37718
% 56.75/57.12 Inuse: 672
% 56.75/57.12 Deleted: 189
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 187136
% 56.75/57.12 Kept: 39729
% 56.75/57.12 Inuse: 699
% 56.75/57.12 Deleted: 189
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying clauses:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 198336
% 56.75/57.12 Kept: 41870
% 56.75/57.12 Inuse: 712
% 56.75/57.12 Deleted: 297
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 210332
% 56.75/57.12 Kept: 43959
% 56.75/57.12 Inuse: 752
% 56.75/57.12 Deleted: 297
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 225254
% 56.75/57.12 Kept: 46525
% 56.75/57.12 Inuse: 807
% 56.75/57.12 Deleted: 297
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 246000
% 56.75/57.12 Kept: 48687
% 56.75/57.12 Inuse: 867
% 56.75/57.12 Deleted: 297
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 266540
% 56.75/57.12 Kept: 50755
% 56.75/57.12 Inuse: 927
% 56.75/57.12 Deleted: 297
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 285487
% 56.75/57.12 Kept: 54234
% 56.75/57.12 Inuse: 936
% 56.75/57.12 Deleted: 298
% 56.75/57.12 Deletedinuse: 1
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 294305
% 56.75/57.12 Kept: 56253
% 56.75/57.12 Inuse: 937
% 56.75/57.12 Deleted: 303
% 56.75/57.12 Deletedinuse: 2
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 318949
% 56.75/57.12 Kept: 58773
% 56.75/57.12 Inuse: 948
% 56.75/57.12 Deleted: 347
% 56.75/57.12 Deletedinuse: 2
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 337901
% 56.75/57.12 Kept: 61810
% 56.75/57.12 Inuse: 951
% 56.75/57.12 Deleted: 359
% 56.75/57.12 Deletedinuse: 2
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying clauses:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 342635
% 56.75/57.12 Kept: 64219
% 56.75/57.12 Inuse: 955
% 56.75/57.12 Deleted: 985
% 56.75/57.12 Deletedinuse: 2
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 363361
% 56.75/57.12 Kept: 66318
% 56.75/57.12 Inuse: 1006
% 56.75/57.12 Deleted: 985
% 56.75/57.12 Deletedinuse: 2
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 56.75/57.12 Done
% 56.75/57.12
% 56.75/57.12
% 56.75/57.12 Intermediate Status:
% 56.75/57.12 Generated: 404078
% 56.75/57.12 Kept: 69733
% 56.75/57.12 Inuse: 1056
% 56.75/57.12 Deleted: 985
% 56.75/57.12 Deletedinuse: 2
% 56.75/57.12
% 56.75/57.12 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 445296
% 72.53/72.90 Kept: 72608
% 72.53/72.90 Inuse: 1096
% 72.53/72.90 Deleted: 986
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 467551
% 72.53/72.90 Kept: 75169
% 72.53/72.90 Inuse: 1106
% 72.53/72.90 Deleted: 986
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 495968
% 72.53/72.90 Kept: 79529
% 72.53/72.90 Inuse: 1114
% 72.53/72.90 Deleted: 986
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 513358
% 72.53/72.90 Kept: 81536
% 72.53/72.90 Inuse: 1124
% 72.53/72.90 Deleted: 986
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying clauses:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 532965
% 72.53/72.90 Kept: 84094
% 72.53/72.90 Inuse: 1131
% 72.53/72.90 Deleted: 1173
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 553006
% 72.53/72.90 Kept: 86096
% 72.53/72.90 Inuse: 1152
% 72.53/72.90 Deleted: 1173
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 569027
% 72.53/72.90 Kept: 88202
% 72.53/72.90 Inuse: 1176
% 72.53/72.90 Deleted: 1173
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 614294
% 72.53/72.90 Kept: 92091
% 72.53/72.90 Inuse: 1186
% 72.53/72.90 Deleted: 1173
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 635441
% 72.53/72.90 Kept: 94262
% 72.53/72.90 Inuse: 1201
% 72.53/72.90 Deleted: 1173
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 665244
% 72.53/72.90 Kept: 96455
% 72.53/72.90 Inuse: 1206
% 72.53/72.90 Deleted: 1173
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 689343
% 72.53/72.90 Kept: 98899
% 72.53/72.90 Inuse: 1236
% 72.53/72.90 Deleted: 1173
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 727709
% 72.53/72.90 Kept: 100907
% 72.53/72.90 Inuse: 1252
% 72.53/72.90 Deleted: 1173
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying clauses:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 772023
% 72.53/72.90 Kept: 105429
% 72.53/72.90 Inuse: 1275
% 72.53/72.90 Deleted: 1486
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 787579
% 72.53/72.90 Kept: 107462
% 72.53/72.90 Inuse: 1301
% 72.53/72.90 Deleted: 1486
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 805722
% 72.53/72.90 Kept: 109589
% 72.53/72.90 Inuse: 1331
% 72.53/72.90 Deleted: 1486
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 829073
% 72.53/72.90 Kept: 112063
% 72.53/72.90 Inuse: 1356
% 72.53/72.90 Deleted: 1486
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 846944
% 72.53/72.90 Kept: 114231
% 72.53/72.90 Inuse: 1381
% 72.53/72.90 Deleted: 1486
% 72.53/72.90 Deletedinuse: 3
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 864055
% 72.53/72.90 Kept: 116260
% 72.53/72.90 Inuse: 1406
% 72.53/72.90 Deleted: 1488
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 878620
% 72.53/72.90 Kept: 118487
% 72.53/72.90 Inuse: 1426
% 72.53/72.90 Deleted: 1488
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 894852
% 72.53/72.90 Kept: 120791
% 72.53/72.90 Inuse: 1450
% 72.53/72.90 Deleted: 1489
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 919646
% 72.53/72.90 Kept: 124827
% 72.53/72.90 Inuse: 1479
% 72.53/72.90 Deleted: 1490
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying clauses:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 938947
% 72.53/72.90 Kept: 126960
% 72.53/72.90 Inuse: 1494
% 72.53/72.90 Deleted: 2162
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 959579
% 72.53/72.90 Kept: 129217
% 72.53/72.90 Inuse: 1509
% 72.53/72.90 Deleted: 2162
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 976494
% 72.53/72.90 Kept: 131405
% 72.53/72.90 Inuse: 1534
% 72.53/72.90 Deleted: 2162
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 998888
% 72.53/72.90 Kept: 134331
% 72.53/72.90 Inuse: 1554
% 72.53/72.90 Deleted: 2162
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1021304
% 72.53/72.90 Kept: 138885
% 72.53/72.90 Inuse: 1579
% 72.53/72.90 Deleted: 2162
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1033113
% 72.53/72.90 Kept: 141163
% 72.53/72.90 Inuse: 1584
% 72.53/72.90 Deleted: 2162
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1051498
% 72.53/72.90 Kept: 143544
% 72.53/72.90 Inuse: 1614
% 72.53/72.90 Deleted: 2162
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying clauses:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1066990
% 72.53/72.90 Kept: 145866
% 72.53/72.90 Inuse: 1619
% 72.53/72.90 Deleted: 3250
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1080656
% 72.53/72.90 Kept: 148793
% 72.53/72.90 Inuse: 1624
% 72.53/72.90 Deleted: 3250
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1091782
% 72.53/72.90 Kept: 151012
% 72.53/72.90 Inuse: 1639
% 72.53/72.90 Deleted: 3250
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1104728
% 72.53/72.90 Kept: 153019
% 72.53/72.90 Inuse: 1659
% 72.53/72.90 Deleted: 3250
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1125372
% 72.53/72.90 Kept: 155070
% 72.53/72.90 Inuse: 1669
% 72.53/72.90 Deleted: 3250
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1159819
% 72.53/72.90 Kept: 158265
% 72.53/72.90 Inuse: 1679
% 72.53/72.90 Deleted: 3250
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Intermediate Status:
% 72.53/72.90 Generated: 1179680
% 72.53/72.90 Kept: 161279
% 72.53/72.90 Inuse: 1684
% 72.53/72.90 Deleted: 3250
% 72.53/72.90 Deletedinuse: 5
% 72.53/72.90
% 72.53/72.90 Resimplifying inuse:
% 72.53/72.90 Done
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 Bliksems!, er is een bewijs:
% 72.53/72.90 % SZS status Unsatisfiable
% 72.53/72.90 % SZS output start Refutation
% 72.53/72.90
% 72.53/72.90 clause( 366, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.90 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.90 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.90 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.90 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ), X
% 72.53/72.90 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' )
% 72.53/72.90 , ~( 'c_lessequals'( 'v_sko__CHAINED__1'( 'v_c____', 'v_cs____' ),
% 72.53/72.90 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.90 .
% 72.53/72.90 clause( 367, [ ~( 'v_thesis____' ) ] )
% 72.53/72.90 .
% 72.53/72.90 clause( 368, [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'( 'v_x'(
% 72.53/72.90 X ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.90 .
% 72.53/72.90 clause( 369, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.90 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.90 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.90 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.90 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.90 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.90 .
% 72.53/72.90 clause( 161381, [] )
% 72.53/72.90 .
% 72.53/72.90
% 72.53/72.90
% 72.53/72.90 % SZS output end Refutation
% 72.53/72.90 found a proof!
% 72.53/72.90
% 72.53/72.90 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 72.53/72.90
% 72.53/72.90 initialclauses(
% 72.53/72.90 [ clause( 161383, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 72.53/72.90 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 72.53/72.90 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.90 , clause( 161384, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 72.53/72.90 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.90 , clause( 161385, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 72.53/72.90 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.90 , clause( 161386, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 72.53/72.90 ), =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y
% 72.53/72.90 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 72.53/72.90 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.90 , clause( 161387, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161388, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 72.53/72.90 , clause( 161389, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 72.53/72.90 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y,
% 72.53/72.90 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 72.53/72.90 , clause( 161390, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161391, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161392, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161393, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161394, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 72.53/72.90 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 72.53/72.90 , clause( 161395, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 72.53/72.90 , clause( 161396, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 72.53/72.90 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 72.53/72.90 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 72.53/72.90 , X ), W, X ) ) ] )
% 72.53/72.90 , clause( 161397, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 72.53/72.90 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 72.53/72.90 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 72.53/72.90 , clause( 161398, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 72.53/72.90 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161399, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161400, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), U
% 72.53/72.90 , X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Ominus__class_Ominus'(
% 72.53/72.90 Z, U, X ), X ), X ) ) ] )
% 72.53/72.90 , clause( 161401, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 , X ) ) ] )
% 72.53/72.90 , clause( 161402, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 72.53/72.90 , clause( 161403, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 72.53/72.90 X ) ) ] )
% 72.53/72.90 , clause( 161404, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 72.53/72.90 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 72.53/72.90 , clause( 161405, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 72.53/72.90 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 72.53/72.90 , clause( 161406, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 72.53/72.90 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 72.53/72.90 ), X ) ) ] )
% 72.53/72.90 , clause( 161407, [ =( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 72.53/72.90 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.90 , clause( 161408, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 72.53/72.90 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161409, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 72.53/72.90 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161410, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 72.53/72.90 ), Y ) ] )
% 72.53/72.90 , clause( 161411, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 72.53/72.90 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X,
% 72.53/72.90 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.90 , clause( 161412, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 72.53/72.90 , T, X ) ) ), =( Z, T ) ] )
% 72.53/72.90 , clause( 161413, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 72.53/72.90 , T, X ) ) ), =( Y, Z ) ] )
% 72.53/72.90 , clause( 161414, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 72.53/72.90 ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 72.53/72.90 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161415, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 72.53/72.90 ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 72.53/72.90 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161416, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 72.53/72.90 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 72.53/72.90 T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161417, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 72.53/72.90 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 72.53/72.90 T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161418, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 72.53/72.90 , U, X ), X ) ) ] )
% 72.53/72.90 , clause( 161419, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 72.53/72.90 ), Y ) ] )
% 72.53/72.90 , clause( 161420, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 72.53/72.90 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 72.53/72.90 , clause( 161421, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161422, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161423, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161424, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161425, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 72.53/72.90 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161426, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ), =( Y, Z ) ] )
% 72.53/72.90 , clause( 161427, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ), =( Y, Z ) ] )
% 72.53/72.90 , clause( 161428, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 72.53/72.90 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 72.53/72.90 , clause( 161429, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 72.53/72.90 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 72.53/72.90 , clause( 161430, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 72.53/72.90 ~( 'c_lessequals'( U, T, X ) ) ] )
% 72.53/72.90 , clause( 161431, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 72.53/72.90 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 72.53/72.90 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 72.53/72.90 Z, Y, X ), X ) ) ] )
% 72.53/72.90 , clause( 161432, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 72.53/72.90 T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 72.53/72.90 , clause( 161433, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 72.53/72.90 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 72.53/72.90 , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 72.53/72.90 ), X ) ) ] )
% 72.53/72.90 , clause( 161434, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 72.53/72.90 , clause( 161435, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 72.53/72.90 , clause( 161436, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 72.53/72.90 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 72.53/72.90 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161437, [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 72.53/72.90 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 72.53/72.90 , clause( 161438, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y,
% 72.53/72.90 'tc_nat' ), X ), X ) ] )
% 72.53/72.90 , clause( 161439, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 72.53/72.90 X ) ] )
% 72.53/72.90 , clause( 161440, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 72.53/72.90 , clause( 161441, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 72.53/72.90 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161442, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 72.53/72.90 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 72.53/72.90 'tc_RealDef_Oreal' ) ] )
% 72.53/72.90 , clause( 161443, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 72.53/72.90 )
% 72.53/72.90 , clause( 161444, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 72.53/72.90 X ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161445, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161446, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161447, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 72.53/72.90 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161448, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161449, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 72.53/72.90 , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161450, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161451, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161452, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 72.53/72.90 ), Y ) ] )
% 72.53/72.90 , clause( 161453, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 72.53/72.90 ), Y ) ] )
% 72.53/72.90 , clause( 161454, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161455, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161456, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 72.53/72.90 ), Y ) ] )
% 72.53/72.90 , clause( 161457, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 72.53/72.90 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 72.53/72.90 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161458, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 72.53/72.90 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 72.53/72.90 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161459, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 72.53/72.90 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, T, X ), Z, X ) ) ] )
% 72.53/72.90 , clause( 161460, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161461, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161462, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 72.53/72.90 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 72.53/72.90 , clause( 161463, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 72.53/72.90 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161464, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 72.53/72.90 ] )
% 72.53/72.90 , clause( 161465, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 72.53/72.90 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161466, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 72.53/72.90 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161467, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 72.53/72.90 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161468, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 72.53/72.90 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161469, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 72.53/72.90 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161470, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 72.53/72.90 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 72.53/72.90 , clause( 161471, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 Y, Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161472, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 72.53/72.90 , clause( 161473, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 72.53/72.90 X ) ] )
% 72.53/72.90 , clause( 161474, [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161475, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 72.53/72.90 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 72.53/72.90 , X ) ) ] )
% 72.53/72.90 , clause( 161476, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 72.53/72.90 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 72.53/72.90 , X ) ) ] )
% 72.53/72.90 , clause( 161477, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 72.53/72.90 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 72.53/72.90 , X ) ) ] )
% 72.53/72.90 , clause( 161478, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 72.53/72.90 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 72.53/72.90 , X ) ) ] )
% 72.53/72.90 , clause( 161479, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 72.53/72.90 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161480, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 72.53/72.90 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161481, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 72.53/72.90 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 72.53/72.90 , X ) ) ] )
% 72.53/72.90 , clause( 161482, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 72.53/72.90 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161483, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 72.53/72.90 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161484, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Z, Y, X ) ) ] )
% 72.53/72.90 , clause( 161485, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Z, Y, X ) ) ] )
% 72.53/72.90 , clause( 161486, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 72.53/72.90 ), X ), Y ) ] )
% 72.53/72.90 , clause( 161487, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 72.53/72.90 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161488, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 72.53/72.90 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161489, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 72.53/72.90 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161490, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 72.53/72.90 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 72.53/72.90 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 72.53/72.90 , clause( 161491, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 72.53/72.90 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 72.53/72.90 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 72.53/72.90 , clause( 161492, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 72.53/72.90 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 72.53/72.90 )
% 72.53/72.90 , clause( 161493, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 72.53/72.90 , clause( 161494, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 72.53/72.90 , clause( 161495, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 72.53/72.90 , clause( 161496, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161497, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161498, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 72.53/72.90 , clause( 161499, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 72.53/72.90 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161500, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 72.53/72.90 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 72.53/72.90 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 72.53/72.90 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.90 , clause( 161501, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 72.53/72.90 'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ), X ), X ), X ) ] )
% 72.53/72.90 , clause( 161502, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 72.53/72.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161503, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 72.53/72.90 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161504, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161505, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161506, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161507, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161508, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161509, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161510, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161511, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161512, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161513, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 72.53/72.90 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161514, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 72.53/72.90 )
% 72.53/72.90 , clause( 161515, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 72.53/72.90 , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161516, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 72.53/72.90 , =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 72.53/72.90 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161517, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161518, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 72.53/72.90 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161519, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 72.53/72.90 )
% 72.53/72.90 , clause( 161520, [ ~(
% 72.53/72.90 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( =(
% 72.53/72.90 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161521, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 72.53/72.90 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161522, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 72.53/72.90 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161523, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 72.53/72.90 X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161524, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 72.53/72.90 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161525, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 72.53/72.90 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161526, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161527, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 72.53/72.90 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161528, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 72.53/72.90 )
% 72.53/72.90 , clause( 161529, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 72.53/72.90 )
% 72.53/72.90 , clause( 161530, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161531, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 72.53/72.90 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 72.53/72.90 , clause( 161532, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161533, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161534, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161535, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161536, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 72.53/72.90 ] )
% 72.53/72.90 , clause( 161537, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 72.53/72.90 ] )
% 72.53/72.90 , clause( 161538, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 72.53/72.90 ] )
% 72.53/72.90 , clause( 161539, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161540, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161541, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 72.53/72.90 ] )
% 72.53/72.90 , clause( 161542, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161543, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161544, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 72.53/72.90 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 72.53/72.90 , clause( 161545, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 72.53/72.90 , X ) ] )
% 72.53/72.90 , clause( 161546, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161547, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161548, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 72.53/72.90 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161549, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 72.53/72.90 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161550, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 72.53/72.90 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161551, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 72.53/72.90 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161552, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 72.53/72.90 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 72.53/72.90 , clause( 161553, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 72.53/72.90 , clause( 161554, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161555, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.90 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 X ), X ) ) ] )
% 72.53/72.90 , clause( 161556, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.90 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 X ), X ) ) ] )
% 72.53/72.90 , clause( 161557, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161558, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 72.53/72.90 , clause( 161559, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161560, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 72.53/72.90 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 72.53/72.90 , clause( 161561, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 72.53/72.90 , clause( 161562, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 72.53/72.90 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 72.53/72.90 , clause( 161563, [ ~(
% 72.53/72.90 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161564, [ ~(
% 72.53/72.90 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 72.53/72.90 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161565, [ ~(
% 72.53/72.90 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161566, [ ~(
% 72.53/72.90 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 72.53/72.90 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161567, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161568, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161569, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 72.53/72.90 , X ), X ) ) ] )
% 72.53/72.90 , clause( 161570, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161571, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 72.53/72.90 , clause( 161572, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161573, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161574, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 72.53/72.90 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 72.53/72.90 , clause( 161575, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 72.53/72.90 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 72.53/72.90 , clause( 161576, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 72.53/72.90 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 72.53/72.90 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 72.53/72.90 , clause( 161577, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 72.53/72.90 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 72.53/72.90 , clause( 161578, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 72.53/72.90 =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 72.53/72.90 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ] )
% 72.53/72.90 , clause( 161579, [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 72.53/72.90 , clause( 161580, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 72.53/72.90 , clause( 161581, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 72.53/72.90 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161582, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161583, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161584, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X )
% 72.53/72.90 , Y ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 72.53/72.90 , clause( 161585, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y
% 72.53/72.90 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161586, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 72.53/72.90 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 72.53/72.90 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161587, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 72.53/72.90 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 72.53/72.90 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161588, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 72.53/72.90 , clause( 161589, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ), X ) ) ] )
% 72.53/72.90 , clause( 161590, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ), X ) ) ] )
% 72.53/72.90 , clause( 161591, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ), X ) ) ] )
% 72.53/72.90 , clause( 161592, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ), X ) ) ] )
% 72.53/72.90 , clause( 161593, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X )
% 72.53/72.90 , 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 72.53/72.90 , clause( 161594, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161595, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 72.53/72.90 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161596, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 72.53/72.90 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161597, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 72.53/72.90 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 72.53/72.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161598, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 72.53/72.90 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 72.53/72.90 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 72.53/72.90 , clause( 161599, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161600, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161601, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 72.53/72.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.90 , clause( 161602, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 72.53/72.90 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 72.53/72.90 , clause( 161603, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 72.53/72.90 , clause( 161604, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 72.53/72.90 , clause( 161605, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 72.53/72.90 , X ) ) ), =( Y, Z ) ] )
% 72.53/72.90 , clause( 161606, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 72.53/72.90 , X ) ) ), =( Y, Z ) ] )
% 72.53/72.90 , clause( 161607, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 72.53/72.90 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 72.53/72.90 Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161608, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161609, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 72.53/72.90 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 72.53/72.90 , clause( 161610, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 72.53/72.90 , Z, X ) ) ] )
% 72.53/72.90 , clause( 161611, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 72.53/72.90 X ), X ) ) ] )
% 72.53/72.90 , clause( 161612, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 72.53/72.90 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 72.53/72.90 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 72.53/72.90 , clause( 161613, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 72.53/72.90 ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 72.53/72.90 , clause( 161614, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 72.53/72.90 , clause( 161615, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 72.53/72.90 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 72.53/72.90 , clause( 161616, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), =( Y, 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 72.53/72.90 )
% 72.53/72.90 , clause( 161617, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161618, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.90 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 72.53/72.90 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161619, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.90 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 72.53/72.90 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161620, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 72.53/72.90 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 72.53/72.90 , clause( 161621, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 72.53/72.90 , clause( 161622, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 72.53/72.90 ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 72.53/72.90 Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161623, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 72.53/72.90 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 72.53/72.90 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161624, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 72.53/72.90 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 72.53/72.90 Y, X ), Z, X ) ) ] )
% 72.53/72.90 , clause( 161625, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 72.53/72.90 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 72.53/72.90 Y, X ), X ) ) ] )
% 72.53/72.90 , clause( 161626, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161627, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 72.53/72.90 T, X ), Z, X ) ) ] )
% 72.53/72.90 , clause( 161628, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161629, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 72.53/72.90 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 72.53/72.90 , X ), T, X ) ) ] )
% 72.53/72.90 , clause( 161630, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 72.53/72.90 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 72.53/72.90 , T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161631, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 72.53/72.90 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 72.53/72.90 , X ), T, X ) ) ] )
% 72.53/72.90 , clause( 161632, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 72.53/72.90 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161633, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 72.53/72.90 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161634, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 72.53/72.90 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161635, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 72.53/72.90 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161636, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 72.53/72.90 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161637, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 72.53/72.90 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161638, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 72.53/72.90 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 72.53/72.90 , clause( 161639, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 72.53/72.90 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161640, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 72.53/72.90 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 72.53/72.90 Y, X ), Z, X ) ) ] )
% 72.53/72.90 , clause( 161641, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161642, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 72.53/72.90 Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161643, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 72.53/72.90 Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161644, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 72.53/72.90 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 72.53/72.90 , Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161645, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 72.53/72.90 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 72.53/72.90 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 72.53/72.90 , Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161646, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, Y, X ) ) ] )
% 72.53/72.90 , clause( 161647, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, Z, X ) ) ] )
% 72.53/72.90 , clause( 161648, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 72.53/72.90 )
% 72.53/72.90 , clause( 161649, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 72.53/72.90 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161650, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 72.53/72.90 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161651, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 72.53/72.90 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161652, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 72.53/72.90 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161653, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 72.53/72.90 X ), X ) ) ] )
% 72.53/72.90 , clause( 161654, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161655, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 72.53/72.90 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ] )
% 72.53/72.90 , clause( 161656, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 72.53/72.90 'c_lessequals'( Y, Z, X ) ) ] )
% 72.53/72.90 , clause( 161657, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 72.53/72.90 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 72.53/72.90 'c_lessequals'( Y, Z, X ) ) ] )
% 72.53/72.90 , clause( 161658, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 72.53/72.90 ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 72.53/72.90 , clause( 161659, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 72.53/72.90 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 72.53/72.90 , clause( 161660, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 72.53/72.90 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 72.53/72.90 , clause( 161661, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 72.53/72.90 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 Y, T, X ) ) ), =( Z, T ) ] )
% 72.53/72.90 , clause( 161662, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 72.53/72.90 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 T, Z, X ) ) ), =( Y, T ) ] )
% 72.53/72.90 , clause( 161663, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 72.53/72.90 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161664, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 72.53/72.90 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 72.53/72.90 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161665, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 72.53/72.90 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161666, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 72.53/72.90 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 X ) ) ] )
% 72.53/72.90 , clause( 161667, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 72.53/72.90 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 72.53/72.90 , clause( 161668, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 72.53/72.90 ), 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 72.53/72.90 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 72.53/72.90 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ] )
% 72.53/72.90 , clause( 161669, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.90 ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 72.53/72.90 )
% 72.53/72.90 , clause( 161670, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 72.53/72.90 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 72.53/72.90 , clause( 161671, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 72.53/72.90 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 72.53/72.90 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 72.53/72.90 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 72.53/72.90 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 72.53/72.90 , ~( 'c_lessequals'( Y, W, X ) ) ] )
% 72.53/72.90 , clause( 161672, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 72.53/72.90 Y, X ) ) ] )
% 72.53/72.90 , clause( 161673, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 72.53/72.90 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 72.53/72.90 Y, X ) ) ] )
% 72.53/72.90 , clause( 161674, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 72.53/72.90 X ) ) ] )
% 72.53/72.90 , clause( 161675, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 72.53/72.90 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 72.53/72.90 Y, Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161676, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 72.53/72.90 , clause( 161677, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 72.53/72.90 , X ) ) ] )
% 72.53/72.90 , clause( 161678, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 72.53/72.90 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 72.53/72.90 , clause( 161679, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 72.53/72.90 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 72.53/72.90 , clause( 161680, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 72.53/72.90 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 72.53/72.90 =( Y, T ) ] )
% 72.53/72.90 , clause( 161681, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 72.53/72.90 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 72.53/72.90 =( Y, T ) ] )
% 72.53/72.90 , clause( 161682, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 72.53/72.90 , X ) ) ] )
% 72.53/72.90 , clause( 161683, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 72.53/72.90 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 72.53/72.90 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161684, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 72.53/72.90 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 72.53/72.90 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161685, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 72.53/72.90 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161686, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 72.53/72.90 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161687, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 72.53/72.90 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161688, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 72.53/72.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 72.53/72.90 ) ] )
% 72.53/72.90 , clause( 161689, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 72.53/72.90 , clause( 161690, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.90 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 72.53/72.90 , clause( 161691, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 72.53/72.90 =( 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.90 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 72.53/72.90 , clause( 161692, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 72.53/72.90 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 72.53/72.90 X ), X ) ) ] )
% 72.53/72.90 , clause( 161693, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161694, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 72.53/72.90 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 72.53/72.90 Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161695, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 72.53/72.90 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 72.53/72.90 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 72.53/72.90 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 72.53/72.90 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.90 , clause( 161696, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 72.53/72.90 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 72.53/72.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 72.53/72.90 , clause( 161697, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.90 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.90 ) ) ] )
% 72.53/72.90 , clause( 161698, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.90 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 72.53/72.90 , clause( 161699, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 72.53/72.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 72.53/72.90 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 72.53/72.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 72.53/72.90 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 72.53/72.90 , clause( 161700, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 72.53/72.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 72.53/72.90 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.91 , clause( 161701, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 72.53/72.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 72.53/72.91 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 72.53/72.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 72.53/72.91 , clause( 161702, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 72.53/72.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 72.53/72.91 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.91 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 72.53/72.91 , clause( 161703, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161704, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161705, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161706, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 72.53/72.91 , clause( 161707, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 72.53/72.91 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161708, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 72.53/72.91 , X ) ) ] )
% 72.53/72.91 , clause( 161709, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 72.53/72.91 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161710, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.91 ), ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X )
% 72.53/72.91 , Y ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 72.53/72.91 , clause( 161711, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.91 ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y
% 72.53/72.91 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161712, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161713, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 72.53/72.91 , clause( 161714, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.91 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 72.53/72.91 ) ] )
% 72.53/72.91 , clause( 161715, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 72.53/72.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 72.53/72.91 , clause( 161716, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 72.53/72.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161717, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 72.53/72.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161718, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 72.53/72.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161719, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 72.53/72.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161720, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161721, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161722, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ] )
% 72.53/72.91 , clause( 161723, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 72.53/72.91 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 72.53/72.91 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 72.53/72.91 , clause( 161724, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 72.53/72.91 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 72.53/72.91 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 72.53/72.91 , clause( 161725, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 72.53/72.91 , clause( 161726, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 72.53/72.91 , clause( 161727, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 72.53/72.91 , clause( 161728, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 72.53/72.91 , clause( 161729, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 72.53/72.91 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161730, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161731, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161732, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 72.53/72.91 , clause( 161733, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161734, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161735, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161736, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161737, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161738, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161739, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161740, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161741, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161742, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161743, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 72.53/72.91 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161744, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.91 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161745, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161746, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 72.53/72.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161747, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161748, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 72.53/72.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161749, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.91 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161750, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.91 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161751, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.91 ), ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X )
% 72.53/72.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 72.53/72.91 , clause( 161752, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 72.53/72.91 ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161753, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 72.53/72.91 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.91 , clause( 161754, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 72.53/72.91 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.91 , clause( 161755, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.91 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 72.53/72.91 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161756, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.91 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 72.53/72.91 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 72.53/72.91 , clause( 161757, [ ~(
% 72.53/72.91 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 72.53/72.91 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 72.53/72.91 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 72.53/72.91 , clause( 161758, [ ~(
% 72.53/72.91 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 72.53/72.91 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 72.53/72.91 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 72.53/72.91 , clause( 161759, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 72.53/72.91 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 72.53/72.91 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161760, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 72.53/72.91 ), X ) ) ] )
% 72.53/72.91 , clause( 161761, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 72.53/72.91 ), X ) ) ] )
% 72.53/72.91 , clause( 161762, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 72.53/72.91 ), X ) ) ] )
% 72.53/72.91 , clause( 161763, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 72.53/72.91 ), X ) ) ] )
% 72.53/72.91 , clause( 161764, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 72.53/72.91 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161765, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 72.53/72.91 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 72.53/72.91 ), X ) ) ] )
% 72.53/72.91 , clause( 161766, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 72.53/72.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.91 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 72.53/72.91 , clause( 161767, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 72.53/72.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 72.53/72.91 , X ) ) ] )
% 72.53/72.91 , clause( 161768, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 72.53/72.91 , clause( 161769, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 72.53/72.91 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 72.53/72.91 , clause( 161770, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.91 , clause( 161771, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 72.53/72.91 =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.91 , clause( 161772, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 72.53/72.91 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161773, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 72.53/72.91 , clause( 161774, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161775, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 72.53/72.91 =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161776, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 72.53/72.91 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 72.53/72.91 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 72.53/72.91 , clause( 161777, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161778, [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161779, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 72.53/72.91 =( 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X
% 72.53/72.91 ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 72.53/72.91 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ] )
% 72.53/72.91 , clause( 161780, [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.91 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, 'tc_Complex_Ocomplex'
% 72.53/72.91 ), T, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 72.53/72.91 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1'( Y
% 72.53/72.91 , X, Z ), 'c_RealVector_Onorm__class_Onorm'( T, 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_RealDef_Oreal' ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 72.53/72.91 , clause( 161781, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 72.53/72.91 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161782, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 72.53/72.91 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.91 , clause( 161783, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.91 'c_Polynomial_Opoly'( X,
% 72.53/72.91 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'(
% 72.53/72.91 X, Y ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( X, Z,
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 72.53/72.91 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( Z,
% 72.53/72.91 'tc_Complex_Ocomplex' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.91 , clause( 161784, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.91 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 72.53/72.91 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 72.53/72.91 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.91 , clause( 161785, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.91 'c_Polynomial_Opoly'( 'v_cs____', 'v_sko__local__XpCons__1'( 'v_cs____' )
% 72.53/72.91 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_cs____', X,
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161786, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.91 'c_Polynomial_Opoly'( 'v_cs____', 'v_sko__local__XpCons__Xhyps__1'(
% 72.53/72.91 'v_cs____' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_cs____', X,
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161787, [ 'v_thesis____', 'c_lessequals'( X,
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'v_sko__local__Xthat__1'( 'v_c____',
% 72.53/72.91 'v_cs____', X ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161788, [ 'v_thesis____', ~( 'c_lessequals'(
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.91 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.91 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'v_sko__local__Xthat__1'( 'v_c____', 'v_cs____', X ),
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161789, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 72.53/72.91 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161790, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 72.53/72.91 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 72.53/72.91 , clause( 161791, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161792, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 72.53/72.91 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161793, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161794, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 72.53/72.91 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 72.53/72.91 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.91 , clause( 161795, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 72.53/72.91 Y, X ) ] )
% 72.53/72.91 , clause( 161796, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 72.53/72.91 Y, Y, X ) ] )
% 72.53/72.91 , clause( 161797, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 72.53/72.91 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ),
% 72.53/72.91 =( Y, T ) ] )
% 72.53/72.91 , clause( 161798, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 72.53/72.91 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ),
% 72.53/72.91 =( Z, U ) ] )
% 72.53/72.91 , clause( 161799, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 72.53/72.91 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 72.53/72.91 , clause( 161800, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 72.53/72.91 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 72.53/72.91 , clause( 161801, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 72.53/72.91 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 72.53/72.91 , clause( 161802, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal'
% 72.53/72.91 ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.91 , clause( 161803, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.91 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.91 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.91 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ), X
% 72.53/72.91 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' )
% 72.53/72.91 , ~( 'c_lessequals'( 'v_sko__CHAINED__1'( 'v_c____', 'v_cs____' ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.91 , clause( 161804, [ ~( 'v_thesis____' ) ] )
% 72.53/72.91 , clause( 161805, [ 'v_thesis____', 'c_lessequals'( X,
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161806, [ 'v_thesis____', ~( 'c_lessequals'(
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.91 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.91 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.91 , clause( 161807, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 72.53/72.91 , clause( 161808, [ 'class_Ring__and__Field_Ocomm__ring'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 72.53/72.91 ) ) ] )
% 72.53/72.91 , clause( 161809, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161810, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161811, [ 'class_Ring__and__Field_Ocomm__ring'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161812, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161813, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161814, [ 'class_Ring__and__Field_Ocomm__ring'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161815, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161816, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 72.53/72.91 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161817, [
% 72.53/72.91 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161818, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 72.53/72.91 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161819, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 72.53/72.91 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161820, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 72.53/72.91 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161821, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 72.53/72.91 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161822, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 72.53/72.91 ) ] )
% 72.53/72.91 , clause( 161823, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat'
% 72.53/72.91 ) ] )
% 72.53/72.91 , clause( 161824, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat'
% 72.53/72.91 ) ] )
% 72.53/72.91 , clause( 161825, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161826, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161827, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161828, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161829, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161830, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161831, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161832, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161833, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161834, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161835, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161836, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161837, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161838, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161839, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161840, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161841, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161842, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161843, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161844, [ 'class_Power_Opower'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161845, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 72.53/72.91 , clause( 161846, [
% 72.53/72.91 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161847, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161848, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161849, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161850, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161851, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161852, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161853, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161854, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161855, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161856, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161857, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161858, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161859, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161860, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161861, [ 'class_Ring__and__Field_Opordered__semiring'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161862, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161863, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161864, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161865, [ 'class_Ring__and__Field_Oordered__semidom'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161866, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161867, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161868, [ 'class_RealVector_Oreal__normed__algebra'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161869, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161870, [ 'class_RealVector_Oreal__normed__vector'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161871, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161872, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161873, [ 'class_Ring__and__Field_Opordered__ring'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161874, [ 'class_Ring__and__Field_Oordered__field'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161875, [ 'class_Ring__and__Field_Olordered__ring'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161876, [ 'class_Ring__and__Field_Odivision__ring'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161877, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161878, [ 'class_RealVector_Oreal__normed__field'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161879, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161880, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161881, [ 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161882, [ 'class_Ring__and__Field_Omult__mono1'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161883, [ 'class_OrderedGroup_Oab__group__add'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161884, [ 'class_Ring__and__Field_Omult__zero'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161885, [ 'class_Ring__and__Field_Omult__mono'(
% 72.53/72.91 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161886, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal'
% 72.53/72.91 ) ] )
% 72.53/72.91 , clause( 161887, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal'
% 72.53/72.91 ) ] )
% 72.53/72.91 , clause( 161888, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161889, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161890, [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161891, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161892, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161893, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161894, [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161895, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161896, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161897, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161898, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161899, [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161900, [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ] )
% 72.53/72.91 , clause( 161901, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161902, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161903, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161904, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161905, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161906, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161907, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161908, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161909, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161910, [ 'class_RealVector_Oreal__normed__algebra'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161911, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161912, [ 'class_RealVector_Oreal__normed__vector'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161913, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161914, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161915, [ 'class_Ring__and__Field_Odivision__ring'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161916, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161917, [ 'class_RealVector_Oreal__normed__field'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161918, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161919, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161920, [ 'class_OrderedGroup_Oab__group__add'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161921, [ 'class_Ring__and__Field_Omult__zero'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161922, [ 'class_OrderedGroup_Omonoid__mult'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161923, [ 'class_Ring__and__Field_Osemiring'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161924, [ 'class_OrderedGroup_Omonoid__add'(
% 72.53/72.91 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161925, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 72.53/72.91 ) ] )
% 72.53/72.91 , clause( 161926, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex'
% 72.53/72.91 ) ] )
% 72.53/72.91 , clause( 161927, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 72.53/72.91 ) ] )
% 72.53/72.91 , clause( 161928, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161929, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161930, [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' )
% 72.53/72.91 ] )
% 72.53/72.91 , clause( 161931, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161932, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161933, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 72.53/72.91 , clause( 161934, [
% 72.53/72.91 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161935, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161936, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161937, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161938, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161939, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161940, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161941, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 72.53/72.91 , clause( 161942, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161943, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161944, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161945, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 72.53/72.91 , clause( 161946, [ 'class_Ring__and__Field_Opordered__semiring'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161947, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161948, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 72.53/72.91 )
% 72.53/72.91 , clause( 161949, [ 'class_Ring__and__Field_Oordered__semidom'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161950, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 72.53/72.91 , clause( 161951, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 72.53/72.91 , clause( 161952, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 72.53/72.91 , clause( 161953, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 72.53/72.91 , clause( 161954, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161955, [ 'class_Ring__and__Field_Opordered__ring'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161956, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 72.53/72.91 , clause( 161957, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161958, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 72.53/72.91 , clause( 161959, [ 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161960, [ 'class_Ring__and__Field_Omult__mono1'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161961, [ 'class_OrderedGroup_Oab__group__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 72.53/72.91 ) ) ] )
% 72.53/72.91 , clause( 161962, [ 'class_Ring__and__Field_Omult__zero'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 72.53/72.91 , clause( 161963, [ 'class_Ring__and__Field_Omult__mono'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161964, [ 'class_OrderedGroup_Omonoid__mult'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 72.53/72.91 , clause( 161965, [ 'class_Ring__and__Field_Osemiring'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 72.53/72.91 , clause( 161966, [ 'class_OrderedGroup_Omonoid__add'(
% 72.53/72.91 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 72.53/72.91 X ) ) ] )
% 72.53/72.91 , clause( 161967, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'(
% 72.53/72.91 X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 72.53/72.91 , clause( 161968, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'(
% 72.53/72.91 X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 72.53/72.91 , clause( 161969, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'(
% 72.53/72.91 X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 72.53/72.91 , clause( 161970, [ 'class_Nat_Osemiring__char__0'( 'tc_Polynomial_Opoly'(
% 72.53/72.91 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 72.53/72.91 , clause( 161971, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X )
% 72.53/72.91 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 72.53/72.91 , clause( 161972, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X )
% 72.53/72.91 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 72.53/72.91 , clause( 161973, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) )
% 72.53/72.91 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 72.53/72.91 , clause( 161974, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 72.53/72.91 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 72.53/72.91 , clause( 161975, [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 72.53/72.91 , clause( 161976, [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 72.53/72.91 'class_HOL_Ozero'( X ) ) ] )
% 72.53/72.91 ] ).
% 72.53/72.91
% 72.53/72.91
% 72.53/72.91
% 72.53/72.91 subsumption(
% 72.53/72.91 clause( 366, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.91 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.91 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.91 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ), X
% 72.53/72.91 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' )
% 72.53/72.91 , ~( 'c_lessequals'( 'v_sko__CHAINED__1'( 'v_c____', 'v_cs____' ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 72.53/72.91 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.91 , clause( 161803, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.91 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.91 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.91 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.91 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ), X
% 72.53/72.91 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' )
% 72.53/72.91 , ~( 'c_lessequals'( 'v_sko__CHAINED__1'( 'v_c____', 'v_cs____' ),
% 72.53/72.91 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 72.53/72.92 1 )] ) ).
% 72.53/72.92
% 72.53/72.92
% 72.53/72.92 subsumption(
% 72.53/72.92 clause( 367, [ ~( 'v_thesis____' ) ] )
% 72.53/72.92 , clause( 161804, [ ~( 'v_thesis____' ) ] )
% 72.53/72.92 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.53/72.92
% 72.53/72.92
% 72.53/72.92 resolution(
% 72.53/72.92 clause( 163967, [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.92 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.92 , clause( 367, [ ~( 'v_thesis____' ) ] )
% 72.53/72.92 , 0, clause( 161805, [ 'v_thesis____', 'c_lessequals'( X,
% 72.53/72.92 'c_RealVector_Onorm__class_Onorm'( 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'tc_RealDef_Oreal' ) ] )
% 72.53/72.92 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 72.53/72.92
% 72.53/72.92
% 72.53/72.92 subsumption(
% 72.53/72.92 clause( 368, [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'( 'v_x'(
% 72.53/72.92 X ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.92 , clause( 163967, [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.92 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.53/72.92
% 72.53/72.92
% 72.53/72.92 resolution(
% 72.53/72.92 clause( 164641, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.92 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.92 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.92 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.92 , clause( 367, [ ~( 'v_thesis____' ) ] )
% 72.53/72.92 , 0, clause( 161806, [ 'v_thesis____', ~( 'c_lessequals'(
% 72.53/72.92 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.92 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.92 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.92 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 72.53/72.92
% 72.53/72.92
% 72.53/72.92 subsumption(
% 72.53/72.92 clause( 369, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.92 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.92 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.92 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.92 , clause( 164641, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.92 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.92 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.92 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 72.53/72.92
% 72.53/72.92
% 72.53/72.92 resolution(
% 72.53/72.92 clause( 164642, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.92 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.92 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.92 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.92 'v_x'( 'v_sko__CHAINED__1'( 'v_c____', 'v_cs____' ) ),
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 72.53/72.92 )
% 72.53/72.92 , clause( 366, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.92 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.92 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.93 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.93 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ), X
% 72.53/72.93 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' )
% 72.53/72.93 , ~( 'c_lessequals'( 'v_sko__CHAINED__1'( 'v_c____', 'v_cs____' ),
% 72.53/72.93 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 72.53/72.93 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.93 , 1, clause( 368, [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.93 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 72.53/72.93 , 0, substitution( 0, [ :=( X, 'v_x'( 'v_sko__CHAINED__1'( 'v_c____',
% 72.53/72.93 'v_cs____' ) ) )] ), substitution( 1, [ :=( X, 'v_sko__CHAINED__1'(
% 72.53/72.93 'v_c____', 'v_cs____' ) )] )).
% 72.53/72.93
% 72.53/72.93
% 72.53/72.93 resolution(
% 72.53/72.93 clause( 164643, [] )
% 72.53/72.93 , clause( 369, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.93 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.93 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.93 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.93 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.93 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 72.53/72.93 'tc_RealDef_Oreal' ) ) ] )
% 72.53/72.93 , 0, clause( 164642, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 72.53/72.93 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 72.53/72.93 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 72.53/72.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 72.53/72.93 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 72.53/72.93 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 72.53/72.93 'v_x'( 'v_sko__CHAINED__1'( 'v_c____', 'v_cs____' ) ),
% 72.53/72.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 72.53/72.93 )
% 72.53/72.93 , 0, substitution( 0, [ :=( X, 'v_sko__CHAINED__1'( 'v_c____', 'v_cs____' )
% 72.53/72.93 )] ), substitution( 1, [] )).
% 72.53/72.93
% 72.53/72.93
% 72.53/72.93 subsumption(
% 72.53/72.93 clause( 161381, [] )
% 72.53/72.93 , clause( 164643, [] )
% 72.53/72.93 , substitution( 0, [] ), permutation( 0, [] ) ).
% 72.53/72.93
% 72.53/72.93
% 72.53/72.93 end.
% 72.53/72.93
% 72.53/72.93 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 72.53/72.93
% 72.53/72.93 Memory use:
% 72.53/72.93
% 72.53/72.93 space for terms: 5073562
% 72.53/72.93 space for clauses: 7512204
% 72.53/72.93
% 72.53/72.93
% 72.53/72.93 clauses generated: 1181892
% 72.53/72.93 clauses kept: 161382
% 72.53/72.93 clauses selected: 1689
% 72.53/72.93 clauses deleted: 3250
% 72.53/72.93 clauses inuse deleted: 5
% 72.53/72.93
% 72.53/72.93 subsentry: 3677723
% 72.53/72.93 literals s-matched: 2029017
% 72.53/72.93 literals matched: 1720504
% 72.53/72.93 full subsumption: 1173059
% 72.53/72.93
% 72.53/72.93 checksum: 1868463539
% 72.53/72.93
% 72.53/72.93
% 72.53/72.93 Bliksem ended
%------------------------------------------------------------------------------