TSTP Solution File: ALG406-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG406-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 12:10:47 EDT 2022
% Result : Timeout 300.05s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG406-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 7 22:35:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.89/1.25 *** allocated 10000 integers for termspace/termends
% 0.89/1.25 *** allocated 10000 integers for clauses
% 0.89/1.25 *** allocated 10000 integers for justifications
% 0.89/1.25 *** allocated 15000 integers for termspace/termends
% 0.89/1.25 Bliksem 1.12
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 Automatic Strategy Selection
% 0.89/1.25
% 0.89/1.25 Clauses:
% 0.89/1.25 [
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.89/1.25 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.25 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.89/1.25 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.89/1.25 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.89/1.25 , X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.89/1.25 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.25 ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.89/1.25 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.89/1.25 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.25 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.89/1.25 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.89/1.25 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'v_t____', 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.25 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.89/1.25 , 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.89/1.25 ), X ), Y ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.89/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.89/1.25 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.89/1.25 =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.89/1.25 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.89/1.25 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( Y, X ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.89/1.25 ],
% 0.89/1.25 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.89/1.25 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( Y, X ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.89/1.25 , 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.89/1.25 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ), T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.25 ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.25 ), Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.25 ), Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.25 ), Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.89/1.25 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.25 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.25 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.25 , X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.89/1.25 , X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.25 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.25 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.89/1.25 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.89/1.25 Z, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.25 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 0.89/1.25 , X ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.25 , X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.89/1.25 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.89/1.25 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.25 ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.89/1.25 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.25 , X ) ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.25 , X ) ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25 ), =( Z, Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.89/1.25 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.89/1.25 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.89/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.89/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.89/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.89/1.25 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.89/1.25 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.89/1.25 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.25 Y, X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.25 Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.89/1.25 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.89/1.25 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.25 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.89/1.25 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.89/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Y,
% 0.89/1.25 X ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.89/1.25 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.89/1.25 ) ],
% 0.89/1.25 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.89/1.25 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.25 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.25 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.89/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.25 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.25 X ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.25 X ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.25 X ) ) ), =( Y, T ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.89/1.25 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.89/1.25 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.89/1.25 ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.89/1.25 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.89/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.89/1.25 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.25 ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.25 , T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.25 , T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.25 , T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.89/1.25 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ), T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.25 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.89/1.25 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.25 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.25 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.89/1.25 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.89/1.25 Y, Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.89/1.25 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.25 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.89/1.25 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 Y, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.89/1.25 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.89/1.25 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.89/1.25 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.89/1.25 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.89/1.25 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.89/1.25 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.89/1.25 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 , Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.25 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.89/1.25 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.89/1.25 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.89/1.25 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.89/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.89/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.89/1.25 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.89/1.25 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.89/1.25 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.89/1.25 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.25 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.89/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.89/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.89/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.89/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.89/1.25 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 0.89/1.25 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.89/1.25 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.25 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.89/1.25 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.89/1.25 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.89/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 0.89/1.25 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.89/1.25 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.89/1.25 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.25 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Y
% 0.89/1.25 , X ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.89/1.25 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.25 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.25 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.25 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y
% 0.89/1.25 , X ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.89/1.25 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.89/1.25 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.89/1.25 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.89/1.25 ), Y, X ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.89/1.25 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.89/1.25 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.89/1.25 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.25 , T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.25 , T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Y, X ), X ) ) ],
% 0.89/1.25 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.89/1.25 Y, X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.89/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.89/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.25 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.25 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.25 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.25 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.25 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.25 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.25 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.25 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.25 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.25 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.25 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.25 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.89/1.25 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.25 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.89/1.25 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.89/1.25 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.89/1.25 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.25 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.89/1.25 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.89/1.25 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.25 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.89/1.25 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.89/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.89/1.25 ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.89/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.89/1.25 ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.89/1.25 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'v_t____', 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1'( T, X ),
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.89/1.25 Y, X ), 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1'( Z,
% 0.89/1.25 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.89/1.25 Z, X ),
% 0.89/1.25 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y, X
% 0.89/1.25 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( T, X ),
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.89/1.25 Y, X ),
% 0.89/1.25 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Z,
% 0.89/1.25 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.89/1.25 Z, X ), 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1'( Y
% 0.89/1.25 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( T, X ),
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.89/1.25 Z, X ),
% 0.89/1.25 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 0.89/1.25 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.89/1.25 Y, X ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'(
% 0.89/1.25 Z, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.89/1.25 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.25 X ), T, X ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.25 T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.25 X ), T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.25 T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.25 X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.25 T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.89/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.89/1.25 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'v_t____',
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_RealVector_Onorm__class_Onorm'( 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.89/1.25 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.89/1.25 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.89/1.25 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ] .
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 percentage equality = 0.178908, percentage horn = 0.908360
% 0.89/1.25 This is a problem with some equality
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 Options Used:
% 0.89/1.25
% 0.89/1.25 useres = 1
% 0.89/1.25 useparamod = 1
% 0.89/1.25 useeqrefl = 1
% 0.89/1.25 useeqfact = 1
% 0.89/1.25 usefactor = 1
% 0.89/1.25 usesimpsplitting = 0
% 0.89/1.25 usesimpdemod = 5
% 0.89/1.25 usesimpres = 3
% 0.89/1.25
% 0.89/1.25 resimpinuse = 1000
% 0.89/1.25 resimpclauses = 20000
% 0.89/1.25 substype = eqrewr
% 0.89/1.25 backwardsubs = 1
% 0.89/1.25 selectoldest = 5
% 0.89/1.25
% 0.89/1.25 litorderings [0] = split
% 0.89/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.25
% 0.89/1.25 termordering = kbo
% 0.89/1.25
% 0.89/1.25 litapriori = 0
% 0.89/1.25 termapriori = 1
% 0.89/1.25 litaposteriori = 0
% 0.89/1.25 termaposteriori = 0
% 0.89/1.25 demodaposteriori = 0
% 0.89/1.25 ordereqreflfact = 0
% 0.89/1.25
% 0.89/1.25 litselect = negord
% 0.89/1.25
% 0.89/1.25 maxweight = 15
% 0.89/1.25 maxdepth = 30000
% 0.89/1.25 maxlength = 115
% 0.89/1.25 maxnrvars = 195
% 0.89/1.25 excuselevel = 1
% 0.89/1.25 increasemaxweight = 1
% 0.89/1.25
% 0.89/1.25 maxselected = 10000000
% 0.89/1.25 maxnrclauses = 10000000
% 0.89/1.25
% 0.89/1.25 showgenerated = 0
% 0.89/1.25 showkept = 0
% 0.89/1.25 showselected = 0
% 0.89/1.25 showdeleted = 0
% 0.89/1.25 showresimp = 1
% 0.89/1.25 showstatus = 2000
% 0.89/1.25
% 0.89/1.25 prologoutput = 1
% 0.89/1.25 nrgoals = 5000000
% 0.89/1.25 totalproof = 1
% 0.89/1.25
% 0.89/1.25 Symbols occurring in the translation:
% 0.89/1.25
% 0.89/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.25 . [1, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.89/1.25 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 0.89/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.25 'class_OrderedGroup_Opordered__comm__monoid__add' [40, 1] (w:1, o:54
% 0.89/1.25 , a:1, s:1, b:0),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus' [43, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.89/1.25 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.89/1.25 'class_OrderedGroup_Ogroup__add' [46, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.89/1.25
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus' [47, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.89/1.25 'class_OrderedGroup_Oab__group__add' [48, 1] (w:1, o:57, a:1, s:1, b:
% 0.89/1.25 0),
% 0.89/1.25 'class_Ring__and__Field_Oordered__field' [49, 1] (w:1, o:63, a:1, s:1
% 0.89/1.25 , b:0),
% 0.89/1.25 'class_Ring__and__Field_Odivision__by__zero' [50, 1] (w:1, o:66, a:1
% 0.89/1.25 , s:1, b:0),
% 0.89/1.25 'c_HOL_Oone__class_Oone' [52, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.89/1.25 'c_HOL_Oinverse__class_Oinverse' [53, 2] (w:1, o:145, a:1, s:1, b:0)
% 0.89/1.25 ,
% 0.89/1.25 'c_lessequals' [54, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.89/1.25 'tc_RealDef_Oreal' [55, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.79/2.18 'c_NthRoot_Osqrt' [57, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Oordered__idom' [58, 1] (w:1, o:69, a:1, s:1
% 1.79/2.18 , b:0),
% 1.79/2.18 'c_Power_Opower__class_Opower' [60, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Oordered__semidom' [61, 1] (w:1, o:71, a:1
% 1.79/2.18 , s:1, b:0),
% 1.79/2.18 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [62, 1]
% 1.79/2.18 (w:1, o:72, a:1, s:1, b:0),
% 1.79/2.18 'class_OrderedGroup_Ocomm__monoid__add' [63, 1] (w:1, o:73, a:1, s:1
% 1.79/2.18 , b:0),
% 1.79/2.18 'class_OrderedGroup_Opordered__ab__group__add__abs' [65, 1] (w:1, o:
% 1.79/2.18 74, a:1, s:1, b:0),
% 1.79/2.18 'c_HOL_Oabs__class_Oabs' [66, 2] (w:1, o:146, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Ocomm__semiring__1' [67, 1] (w:1, o:64, a:1
% 1.79/2.18 , s:1, b:0),
% 1.79/2.18 'class_OrderedGroup_Oab__semigroup__add' [69, 1] (w:1, o:75, a:1, s:1
% 1.79/2.18 , b:0),
% 1.79/2.18 'class_Orderings_Opreorder' [71, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.79/2.18 'class_Orderings_Oorder' [72, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.79/2.18 'v_t____' [73, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.79/2.18 'class_OrderedGroup_Olordered__ab__group__add' [74, 1] (w:1, o:78, a:
% 1.79/2.18 1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Odivision__ring' [75, 1] (w:1, o:79, a:1, s:1
% 1.79/2.18 , b:0),
% 1.79/2.18 'c_HOL_Otimes__class_Otimes' [76, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.79/2.18 'class_OrderedGroup_Opordered__ab__group__add' [77, 1] (w:1, o:80, a:
% 1.79/2.18 1, s:1, b:0),
% 1.79/2.18 'class_RealVector_Oreal__normed__vector' [78, 1] (w:1, o:81, a:1, s:1
% 1.79/2.18 , b:0),
% 1.79/2.18 'c_RealVector_Onorm__class_Onorm' [79, 2] (w:1, o:147, a:1, s:1, b:0)
% 1.79/2.18 ,
% 1.79/2.18 'class_RealVector_Oreal__algebra__1' [80, 1] (w:1, o:82, a:1, s:1, b:
% 1.79/2.18 0),
% 1.79/2.18 'c_RealVector_Oof__real' [81, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Oidom' [82, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.79/2.18 'class_Int_Onumber__ring' [83, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.79/2.18 'class_Orderings_Olinorder' [84, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.79/2.18 'class_OrderedGroup_Olordered__ab__group__add__abs' [85, 1] (w:1, o:
% 1.79/2.18 86, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Oabs__if' [86, 1] (w:1, o:87, a:1, s:1, b:0)
% 1.79/2.18 ,
% 1.79/2.18 'class_RealVector_Oreal__normed__algebra' [87, 1] (w:1, o:88, a:1, s:
% 1.79/2.18 1, b:0),
% 1.79/2.18 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1' [89, 2
% 1.79/2.18 ] (w:1, o:149, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Oordered__ring__strict' [90, 1] (w:1, o:70
% 1.79/2.18 , a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Oordered__semiring__strict' [91, 1] (w:1, o:
% 1.79/2.18 89, a:1, s:1, b:0),
% 1.79/2.18 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1' [93, 2]
% 1.79/2.18 (w:1, o:150, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Oordered__comm__semiring__strict' [94, 1] (w:
% 1.79/2.18 1, o:90, a:1, s:1, b:0),
% 1.79/2.18 'class_OrderedGroup_Omonoid__add' [95, 1] (w:1, o:91, a:1, s:1, b:0)
% 1.79/2.18 ,
% 1.79/2.18 'class_Lattices_Oboolean__algebra' [96, 1] (w:1, o:92, a:1, s:1, b:0)
% 1.79/2.18 ,
% 1.79/2.18 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [97, 1]
% 1.79/2.18 (w:1, o:93, a:1, s:1, b:0),
% 1.79/2.18 'class_OrderedGroup_Opordered__ab__semigroup__add' [98, 1] (w:1, o:94
% 1.79/2.18 , a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Opordered__ring__abs' [99, 1] (w:1, o:96, a:1
% 1.79/2.18 , s:1, b:0),
% 1.79/2.18 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1' [100
% 1.79/2.18 , 2] (w:1, o:151, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Ozero__neq__one' [101, 1] (w:1, o:97, a:1, s:
% 1.79/2.18 1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Ono__zero__divisors' [102, 1] (w:1, o:62, a:1
% 1.79/2.18 , s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Omult__zero' [103, 1] (w:1, o:59, a:1, s:1
% 1.79/2.18 , b:0),
% 1.79/2.18 'class_Power_Opower' [104, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Oring__1__no__zero__divisors' [105, 1] (w:1
% 1.79/2.18 , o:105, a:1, s:1, b:0),
% 1.79/2.18 'class_OrderedGroup_Oordered__ab__group__add' [107, 1] (w:1, o:53, a:
% 1.79/2.18 1, s:1, b:0),
% 1.79/2.18 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1' [108
% 1.79/2.18 , 2] (w:1, o:152, a:1, s:1, b:0),
% 1.79/2.18 'c_Transcendental_Osin' [109, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.79/2.18 'class_Ring__and__Field_Ofield' [110, 1] (w:1, o:107, a:1, s:1, b:0)
% 18.84/19.21 ,
% 18.84/19.21 'class_OrderedGroup_Ocancel__ab__semigroup__add' [111, 1] (w:1, o:98
% 18.84/19.21 , a:1, s:1, b:0),
% 18.84/19.21 'class_OrderedGroup_Ocancel__semigroup__add' [112, 1] (w:1, o:99, a:1
% 18.84/19.21 , s:1, b:0),
% 18.84/19.21 'c_Transcendental_Ocos' [113, 1] (w:1, o:108, a:1, s:1, b:0),
% 18.84/19.21 'class_Ring__and__Field_Oordered__semiring' [115, 1] (w:1, o:95, a:1
% 18.84/19.21 , s:1, b:0),
% 18.84/19.21 'class_Ring__and__Field_Oring' [116, 1] (w:1, o:109, a:1, s:1, b:0),
% 18.84/19.21
% 18.84/19.21 'class_Ring__and__Field_Oring__no__zero__divisors' [117, 1] (w:1, o:
% 18.84/19.21 110, a:1, s:1, b:0),
% 18.84/19.21 'class_OrderedGroup_Omonoid__mult' [119, 1] (w:1, o:100, a:1, s:1, b:
% 18.84/19.21 0),
% 18.84/19.21 'class_Ring__and__Field_Ocomm__semiring' [122, 1] (w:1, o:65, a:1, s:
% 18.84/19.21 1, b:0),
% 18.84/19.21 'class_OrderedGroup_Ocomm__monoid__mult' [126, 1] (w:1, o:101, a:1
% 18.84/19.21 , s:1, b:0),
% 18.84/19.21 'class_Ring__and__Field_Osemiring' [128, 1] (w:1, o:112, a:1, s:1, b:
% 18.84/19.21 0),
% 18.84/19.21 'class_Ring__and__Field_Oring__1' [130, 1] (w:1, o:111, a:1, s:1, b:0
% 18.84/19.21 ),
% 18.84/19.21 'class_Ring__and__Field_Opordered__cancel__semiring' [131, 1] (w:1
% 18.84/19.21 , o:113, a:1, s:1, b:0),
% 18.84/19.21 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1' [132, 2
% 18.84/19.21 ] (w:1, o:153, a:1, s:1, b:0),
% 18.84/19.21 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1' [133, 2
% 18.84/19.21 ] (w:1, o:154, a:1, s:1, b:0),
% 18.84/19.21 'class_Ring__and__Field_Opordered__semiring' [134, 1] (w:1, o:115, a:
% 18.84/19.21 1, s:1, b:0),
% 18.84/19.21 'class_Ring__and__Field_Opordered__ring' [135, 1] (w:1, o:114, a:1
% 18.84/19.21 , s:1, b:0),
% 18.84/19.21 'class_Ring__and__Field_Omult__mono' [136, 1] (w:1, o:60, a:1, s:1
% 18.84/19.21 , b:0),
% 18.84/19.21 'class_Ring__and__Field_Omult__mono1' [137, 1] (w:1, o:61, a:1, s:1
% 18.84/19.21 , b:0),
% 18.84/19.21 'class_Ring__and__Field_Olordered__ring' [138, 1] (w:1, o:58, a:1, s:
% 18.84/19.21 1, b:0),
% 18.84/19.21 'tc_Complex_Ocomplex' [139, 0] (w:1, o:35, a:1, s:1, b:0),
% 18.84/19.21 'c_Complex_ORe' [140, 1] (w:1, o:116, a:1, s:1, b:0),
% 18.84/19.21 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1' [143, 2] (w:1
% 18.84/19.21 , o:155, a:1, s:1, b:0),
% 18.84/19.21 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1' [145, 2
% 18.84/19.21 ] (w:1, o:156, a:1, s:1, b:0),
% 18.84/19.21 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1' [146, 2
% 18.84/19.21 ] (w:1, o:157, a:1, s:1, b:0),
% 18.84/19.21 'class_RealVector_Oreal__normed__div__algebra' [150, 1] (w:1, o:117
% 18.84/19.21 , a:1, s:1, b:0),
% 18.84/19.21 'class_RealVector_Oreal__normed__algebra__1' [151, 1] (w:1, o:118, a:
% 18.84/19.21 1, s:1, b:0),
% 18.84/19.21 'class_OrderedGroup_Oab__semigroup__mult' [159, 1] (w:1, o:102, a:1
% 18.84/19.21 , s:1, b:0),
% 18.84/19.21 'class_OrderedGroup_Oab__semigroup__idem__mult' [160, 1] (w:1, o:103
% 18.84/19.21 , a:1, s:1, b:0),
% 18.84/19.21 'v_w____' [161, 0] (w:1, o:46, a:1, s:1, b:0),
% 18.84/19.21 'tc_nat' [162, 0] (w:1, o:47, a:1, s:1, b:0).
% 18.84/19.21
% 18.84/19.21
% 18.84/19.21 Starting Search:
% 18.84/19.21
% 18.84/19.21 Resimplifying inuse:
% 18.84/19.21 Done
% 18.84/19.21
% 18.84/19.21
% 18.84/19.21 Intermediate Status:
% 18.84/19.21 Generated: 3969
% 18.84/19.21 Kept: 2019
% 18.84/19.21 Inuse: 185
% 18.84/19.21 Deleted: 1
% 18.84/19.21 Deletedinuse: 0
% 18.84/19.21
% 18.84/19.21 Resimplifying inuse:
% 18.84/19.21 Done
% 18.84/19.21
% 18.84/19.21 Resimplifying inuse:
% 18.84/19.21 Done
% 18.84/19.21
% 18.84/19.21
% 18.84/19.21 Intermediate Status:
% 18.84/19.21 Generated: 10166
% 18.84/19.21 Kept: 4019
% 18.84/19.21 Inuse: 236
% 18.84/19.21 Deleted: 1
% 18.84/19.21 Deletedinuse: 0
% 18.84/19.21
% 18.84/19.21 Resimplifying inuse:
% 18.84/19.21 Done
% 18.84/19.21
% 18.84/19.21 Resimplifying inuse:
% 18.84/19.21 Done
% 18.84/19.21
% 18.84/19.21
% 18.84/19.21 Intermediate Status:
% 18.84/19.22 Generated: 19171
% 18.84/19.22 Kept: 6417
% 18.84/19.22 Inuse: 340
% 18.84/19.22 Deleted: 1
% 18.84/19.22 Deletedinuse: 0
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22
% 18.84/19.22 Intermediate Status:
% 18.84/19.22 Generated: 26519
% 18.84/19.22 Kept: 8444
% 18.84/19.22 Inuse: 405
% 18.84/19.22 Deleted: 1
% 18.84/19.22 Deletedinuse: 0
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22
% 18.84/19.22 Intermediate Status:
% 18.84/19.22 Generated: 35020
% 18.84/19.22 Kept: 10543
% 18.84/19.22 Inuse: 475
% 18.84/19.22 Deleted: 1
% 18.84/19.22 Deletedinuse: 0
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22
% 18.84/19.22 Intermediate Status:
% 18.84/19.22 Generated: 45293
% 18.84/19.22 Kept: 12953
% 18.84/19.22 Inuse: 535
% 18.84/19.22 Deleted: 1
% 18.84/19.22 Deletedinuse: 0
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22
% 18.84/19.22 Intermediate Status:
% 18.84/19.22 Generated: 54841
% 18.84/19.22 Kept: 14985
% 18.84/19.22 Inuse: 585
% 18.84/19.22 Deleted: 1
% 18.84/19.22 Deletedinuse: 0
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22
% 18.84/19.22 Intermediate Status:
% 18.84/19.22 Generated: 65143
% 18.84/19.22 Kept: 17000
% 18.84/19.22 Inuse: 643
% 18.84/19.22 Deleted: 2
% 18.84/19.22 Deletedinuse: 0
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22 Resimplifying inuse:
% 18.84/19.22 Done
% 18.84/19.22
% 18.84/19.22
% 18.84/19.22 Intermediate Status:
% 18.84/19.22 Generated: 72728
% 18.84/19.22 Kept: 19008
% 66.13/66.50 Inuse: 677
% 66.13/66.50 Deleted: 2
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying clauses:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 82046
% 66.13/66.50 Kept: 21265
% 66.13/66.50 Inuse: 717
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 96479
% 66.13/66.50 Kept: 23540
% 66.13/66.50 Inuse: 737
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 113463
% 66.13/66.50 Kept: 25635
% 66.13/66.50 Inuse: 772
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 123595
% 66.13/66.50 Kept: 27637
% 66.13/66.50 Inuse: 792
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 132889
% 66.13/66.50 Kept: 29690
% 66.13/66.50 Inuse: 817
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 143516
% 66.13/66.50 Kept: 31722
% 66.13/66.50 Inuse: 844
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 162238
% 66.13/66.50 Kept: 33766
% 66.13/66.50 Inuse: 852
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 178947
% 66.13/66.50 Kept: 36228
% 66.13/66.50 Inuse: 867
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 212830
% 66.13/66.50 Kept: 38235
% 66.13/66.50 Inuse: 896
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 220339
% 66.13/66.50 Kept: 40246
% 66.13/66.50 Inuse: 908
% 66.13/66.50 Deleted: 725
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying clauses:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 229400
% 66.13/66.50 Kept: 42252
% 66.13/66.50 Inuse: 937
% 66.13/66.50 Deleted: 1117
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 262891
% 66.13/66.50 Kept: 45830
% 66.13/66.50 Inuse: 952
% 66.13/66.50 Deleted: 1117
% 66.13/66.50 Deletedinuse: 0
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 275994
% 66.13/66.50 Kept: 47838
% 66.13/66.50 Inuse: 966
% 66.13/66.50 Deleted: 1118
% 66.13/66.50 Deletedinuse: 1
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 298603
% 66.13/66.50 Kept: 49995
% 66.13/66.50 Inuse: 992
% 66.13/66.50 Deleted: 1119
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 319823
% 66.13/66.50 Kept: 52019
% 66.13/66.50 Inuse: 1011
% 66.13/66.50 Deleted: 1119
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 339017
% 66.13/66.50 Kept: 54027
% 66.13/66.50 Inuse: 1020
% 66.13/66.50 Deleted: 1119
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 352754
% 66.13/66.50 Kept: 56047
% 66.13/66.50 Inuse: 1042
% 66.13/66.50 Deleted: 1119
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 368745
% 66.13/66.50 Kept: 58206
% 66.13/66.50 Inuse: 1057
% 66.13/66.50 Deleted: 1119
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 381367
% 66.13/66.50 Kept: 60499
% 66.13/66.50 Inuse: 1077
% 66.13/66.50 Deleted: 1119
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying clauses:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 393079
% 66.13/66.50 Kept: 62725
% 66.13/66.50 Inuse: 1102
% 66.13/66.50 Deleted: 1382
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 402538
% 66.13/66.50 Kept: 64812
% 66.13/66.50 Inuse: 1127
% 66.13/66.50 Deleted: 1382
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 418019
% 66.13/66.50 Kept: 67091
% 66.13/66.50 Inuse: 1137
% 66.13/66.50 Deleted: 1382
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 462115
% 66.13/66.50 Kept: 70952
% 66.13/66.50 Inuse: 1182
% 66.13/66.50 Deleted: 1382
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 66.13/66.50 Intermediate Status:
% 66.13/66.50 Generated: 478240
% 66.13/66.50 Kept: 72956
% 66.13/66.50 Inuse: 1214
% 66.13/66.50 Deleted: 1382
% 66.13/66.50 Deletedinuse: 2
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50 Resimplifying inuse:
% 66.13/66.50 Done
% 66.13/66.50
% 66.13/66.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 495527
% 151.12/151.50 Kept: 75040
% 151.12/151.50 Inuse: 1252
% 151.12/151.50 Deleted: 1382
% 151.12/151.50 Deletedinuse: 2
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 520714
% 151.12/151.50 Kept: 77380
% 151.12/151.50 Inuse: 1267
% 151.12/151.50 Deleted: 1382
% 151.12/151.50 Deletedinuse: 2
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 547232
% 151.12/151.50 Kept: 81403
% 151.12/151.50 Inuse: 1273
% 151.12/151.50 Deleted: 1382
% 151.12/151.50 Deletedinuse: 2
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying clauses:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 572286
% 151.12/151.50 Kept: 83895
% 151.12/151.50 Inuse: 1277
% 151.12/151.50 Deleted: 2138
% 151.12/151.50 Deletedinuse: 2
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 595021
% 151.12/151.50 Kept: 87454
% 151.12/151.50 Inuse: 1307
% 151.12/151.50 Deleted: 2146
% 151.12/151.50 Deletedinuse: 10
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 614359
% 151.12/151.50 Kept: 90337
% 151.12/151.50 Inuse: 1317
% 151.12/151.50 Deleted: 2146
% 151.12/151.50 Deletedinuse: 10
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 635228
% 151.12/151.50 Kept: 92931
% 151.12/151.50 Inuse: 1352
% 151.12/151.50 Deleted: 2146
% 151.12/151.50 Deletedinuse: 10
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 654584
% 151.12/151.50 Kept: 97448
% 151.12/151.50 Inuse: 1367
% 151.12/151.50 Deleted: 2148
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 668610
% 151.12/151.50 Kept: 99455
% 151.12/151.50 Inuse: 1390
% 151.12/151.50 Deleted: 2148
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 678039
% 151.12/151.50 Kept: 101465
% 151.12/151.50 Inuse: 1392
% 151.12/151.50 Deleted: 2148
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying clauses:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 707985
% 151.12/151.50 Kept: 103622
% 151.12/151.50 Inuse: 1397
% 151.12/151.50 Deleted: 2592
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 739642
% 151.12/151.50 Kept: 105640
% 151.12/151.50 Inuse: 1406
% 151.12/151.50 Deleted: 2592
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 749475
% 151.12/151.50 Kept: 108303
% 151.12/151.50 Inuse: 1412
% 151.12/151.50 Deleted: 2592
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 766716
% 151.12/151.50 Kept: 110503
% 151.12/151.50 Inuse: 1427
% 151.12/151.50 Deleted: 2592
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 778012
% 151.12/151.50 Kept: 112719
% 151.12/151.50 Inuse: 1437
% 151.12/151.50 Deleted: 2592
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 790534
% 151.12/151.50 Kept: 114723
% 151.12/151.50 Inuse: 1460
% 151.12/151.50 Deleted: 2592
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 807952
% 151.12/151.50 Kept: 117547
% 151.12/151.50 Inuse: 1492
% 151.12/151.50 Deleted: 2592
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 817968
% 151.12/151.50 Kept: 119753
% 151.12/151.50 Inuse: 1497
% 151.12/151.50 Deleted: 2592
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 829714
% 151.12/151.50 Kept: 121771
% 151.12/151.50 Inuse: 1522
% 151.12/151.50 Deleted: 2592
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying clauses:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 843778
% 151.12/151.50 Kept: 123772
% 151.12/151.50 Inuse: 1549
% 151.12/151.50 Deleted: 5123
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 858215
% 151.12/151.50 Kept: 126312
% 151.12/151.50 Inuse: 1562
% 151.12/151.50 Deleted: 5123
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 874544
% 151.12/151.50 Kept: 128322
% 151.12/151.50 Inuse: 1596
% 151.12/151.50 Deleted: 5123
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 885415
% 151.12/151.50 Kept: 130424
% 151.12/151.50 Inuse: 1616
% 151.12/151.50 Deleted: 5123
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 899778
% 151.12/151.50 Kept: 133804
% 151.12/151.50 Inuse: 1619
% 151.12/151.50 Deleted: 5123
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 Generated: 914590
% 151.12/151.50 Kept: 135846
% 151.12/151.50 Inuse: 1636
% 151.12/151.50 Deleted: 5123
% 151.12/151.50 Deletedinuse: 12
% 151.12/151.50
% 151.12/151.50 Resimplifying inuse:
% 151.12/151.50 Done
% 151.12/151.50
% 151.12/151.50
% 151.12/151.50 Intermediate Status:
% 151.12/151.50 GeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------